:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000
2.:@0.096353:0.706289:0.110579:0.706289:0.110579:0.689388:0.096353:0.689388:0.000000:0.000000
  Analicemos y graquemos la siguiente función cuadrática:  ( ) =   – 2  – 3:@0.110579:0.706289:0.669463:0.706286:0.669463:0.689897:0.110579:0.689900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.254870:0.706289:0.258905:0.706289:0.258905:0.689900:0.254870:0.689900:0.000000
f x:@0.555752:0.706289:0.572798:0.706289:0.572798:0.689928:0.555752:0.689928:0.000000:0.000000:0.000000
x:@0.596735:0.706289:0.604199:0.706289:0.604199:0.689928:0.596735:0.689928:0.000000
2:@0.604203:0.700239:0.609446:0.700239:0.609446:0.690684:0.604203:0.690684:0.000000
x:@0.635722:0.706286:0.643186:0.706286:0.643186:0.689925:0.635722:0.689925:0.000000
Paso 1.:@0.102121:0.201625:0.154372:0.201625:0.154372:0.186047:0.102121:0.186047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconocemos los coecientes de la :@0.157756:0.201625:0.398769:0.201625:0.398769:0.186726:0.157756:0.186726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.307787:0.201625:0.311456:0.201625:0.311456:0.186726:0.307787:0.186726:0.000000
función cuadrática::@0.102121:0.216712:0.229222:0.216712:0.229222:0.201813:0.102121:0.201813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.102121:0.238929:0.108923:0.238929:0.108923:0.224055:0.102121:0.224055:0.000000
 = −  + 4  + 1::@0.108923:0.238929:0.208473:0.238927:0.208473:0.224028:0.108923:0.224030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.136229:0.238929:0.143014:0.238929:0.143014:0.224055:0.136229:0.224055:0.000000
2:@0.143013:0.233430:0.147779:0.233430:0.147779:0.224744:0.143013:0.224744:0.000000
x:@0.173276:0.238927:0.180061:0.238927:0.180061:0.224054:0.173276:0.224054:0.000000
a:@0.102128:0.255524:0.110555:0.255524:0.110555:0.240650:0.102128:0.240650:0.000000
 =  1:@0.110555:0.255524:0.147027:0.255524:0.147027:0.240625:0.110555:0.240625:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.127869:0.255838:0.138851:0.255838:0.138851:0.239449:0.127869:0.239449:0.000000
b:@0.102113:0.270611:0.110540:0.270611:0.110540:0.255738:0.102113:0.255738:0.000000
 = 4:@0.110540:0.270611:0.136037:0.270611:0.136037:0.255712:0.110540:0.255712:0.000000:0.000000:0.000000:0.000000
c:@0.102113:0.285699:0.109082:0.285699:0.109082:0.270825:0.102113:0.270825:0.000000
 = 1:@0.109082:0.285699:0.134580:0.285699:0.134580:0.270800:0.109082:0.270800:0.000000:0.000000:0.000000:0.000000
Paso 2.:@0.417846:0.201623:0.470097:0.201623:0.470097:0.186045:0.417846:0.186045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos la concavidad de la :@0.473481:0.201623:0.708631:0.201623:0.708631:0.186724:0.473481:0.186724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola.:@0.417846:0.216711:0.479478:0.216711:0.479478:0.201812:0.417846:0.201812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.417846:0.240436:0.426272:0.240436:0.426272:0.225562:0.417846:0.225562:0.000000
 =  1, entonces:   < 0, por lo tanto, es :@0.426272:0.240436:0.681319:0.240436:0.681319:0.225537:0.426272:0.225537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.443594:0.240751:0.454577:0.240751:0.454577:0.224362:0.443594:0.224362:0.000000
a:@0.537837:0.240436:0.546263:0.240436:0.546263:0.225562:0.537837:0.225562:0.000000
cóncava hacia abajo y tiene un punto :@0.417839:0.255524:0.671417:0.255524:0.671417:0.240625:0.417839:0.240625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
máximo.:@0.417839:0.270611:0.475099:0.270611:0.475099:0.255712:0.417839:0.255712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 3.:@0.102107:0.308356:0.154357:0.308356:0.154357:0.292778:0.102107:0.292778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Determinamos el vértice de la :@0.154357:0.308356:0.361682:0.308356:0.361682:0.293457:0.154357:0.293457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola que será el punto máximo.:@0.102107:0.323443:0.342231:0.323443:0.342231:0.308544:0.102107:0.308544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.105655:0.353424:0.112372:0.353424:0.112372:0.338698:0.105655:0.338698:0.000000
b:@0.144712:0.345532:0.153055:0.345532:0.153055:0.330807:0.144712:0.330807:0.000000
a:@0.148577:0.363182:0.156919:0.363182:0.156919:0.348457:0.148577:0.348457:0.000000
=−:@0.116634:0.353050:0.137996:0.353050:0.137996:0.337802:0.116634:0.337802:0.000000:0.000000
=−:@0.161397:0.353050:0.182758:0.353050:0.182758:0.337802:0.161397:0.337802:0.000000:0.000000
−:@0.201499:0.362809:0.210604:0.362809:0.210604:0.347561:0.201499:0.347561:0.000000
( ):@0.194610:0.364384:0.222373:0.364384:0.222373:0.344897:0.194610:0.344897:0.000000:0.000000:0.000000
=:@0.226555:0.353050:0.235660:0.353050:0.235660:0.337802:0.226555:0.337802:0.000000
2:@0.140811:0.363182:0.148905:0.363182:0.148905:0.348432:0.140811:0.348432:0.000000
4:@0.200036:0.345532:0.208129:0.345532:0.208129:0.330782:0.200036:0.330782:0.000000
2:@0.185574:0.363182:0.193667:0.363182:0.193667:0.348432:0.185574:0.348432:0.000000
1:@0.210551:0.363182:0.218644:0.363182:0.218644:0.348432:0.210551:0.348432:0.000000
2:@0.238297:0.353424:0.246391:0.353424:0.246391:0.338674:0.238297:0.338674:0.000000
  :@0.248370:0.370427:0.255708:0.370427:0.255708:0.355528:0.248370:0.355528:0.000000:0.000000
yf:@0.259477:0.355685:0.286411:0.355685:0.286411:0.340960:0.259477:0.340960:0.000000:0.000000
b:@0.314987:0.347794:0.323329:0.347794:0.323329:0.333069:0.314987:0.333069:0.000000
a:@0.318851:0.365444:0.327193:0.365444:0.327193:0.350719:0.318851:0.350719:0.000000
=:@0.270456:0.355312:0.279561:0.355312:0.279561:0.340064:0.270456:0.340064:0.000000
−:@0.299148:0.355312:0.308253:0.355312:0.308253:0.340064:0.299148:0.340064:0.000000
:@0.290474:0.348553:0.296843:0.348553:0.296843:0.333305:0.290474:0.333305:0.000000
:@0.290474:0.366340:0.296843:0.366340:0.296843:0.351092:0.290474:0.351092:0.000000
:@0.290474:0.358523:0.296843:0.358523:0.296843:0.343275:0.290474:0.343275:0.000000
:@0.330328:0.348553:0.336696:0.348553:0.336696:0.333305:0.330328:0.333305:0.000000
:@0.330328:0.366340:0.336696:0.366340:0.336696:0.351092:0.330328:0.351092:0.000000
:@0.330328:0.358523:0.336696:0.358523:0.336696:0.343275:0.330328:0.343275:0.000000
2:@0.311056:0.365444:0.319149:0.365444:0.319149:0.350694:0.311056:0.350694:0.000000
f:@0.102121:0.385515:0.106393:0.385515:0.106393:0.370641:0.102121:0.370641:0.000000
(2) = −(2)  + 4(2) + 1 = 5:@0.106393:0.385515:0.266118:0.385515:0.266118:0.370616:0.106393:0.370616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.167806:0.380017:0.172572:0.380017:0.172572:0.371331:0.167806:0.371331:0.000000
El vértice de la parábola es: V(2, 5).:@0.102128:0.407731:0.327746:0.407731:0.327746:0.392832:0.102128:0.392832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El eje de simetría es   = 2.:@0.102128:0.429948:0.271358:0.429948:0.271358:0.415049:0.102128:0.415049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.236161:0.429948:0.242946:0.429948:0.242946:0.415074:0.236161:0.415074:0.000000
Paso 4.:@0.417861:0.308354:0.470112:0.308354:0.470112:0.292776:0.417861:0.292776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realizamos una tabla de valores :@0.473496:0.308354:0.689079:0.308354:0.689079:0.293455:0.473496:0.293455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y gracamos, tomamos valores de   a los :@0.417861:0.323442:0.692213:0.323442:0.692213:0.308543:0.417861:0.308543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.454482:0.323442:0.458150:0.323442:0.458150:0.308543:0.454482:0.308543:0.000000
x:@0.648104:0.323442:0.654889:0.323442:0.654889:0.308568:0.648104:0.308568:0.000000
lados del eje de simetría.:@0.417861:0.338530:0.581679:0.338530:0.581679:0.323631:0.417861:0.323631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.450793:0.362822:0.457577:0.362822:0.457577:0.347948:0.450793:0.347948:0.000000
1:@0.522275:0.362822:0.530450:0.362822:0.530450:0.347923:0.522275:0.347923:0.000000
2:@0.594445:0.362822:0.602620:0.362822:0.602620:0.347923:0.594445:0.347923:0.000000
3:@0.666614:0.362822:0.674789:0.362822:0.674789:0.347923:0.666614:0.347923:0.000000
y:@0.450776:0.382310:0.457577:0.382310:0.457577:0.367436:0.450776:0.367436:0.000000
4:@0.523666:0.382310:0.531841:0.382310:0.531841:0.367411:0.523666:0.367411:0.000000
5:@0.595835:0.382310:0.604010:0.382310:0.604010:0.367411:0.595835:0.367411:0.000000
4:@0.668004:0.382310:0.676180:0.382310:0.676180:0.367411:0.668004:0.367411:0.000000
–4:@0.496634:0.599614:0.510210:0.599614:0.510210:0.588238:0.496634:0.588238:0.000000:0.000000
–3:@0.496634:0.582314:0.510210:0.582314:0.510210:0.570938:0.496634:0.570938:0.000000:0.000000
–2:@0.496634:0.564179:0.510210:0.564179:0.510210:0.552803:0.496634:0.552803:0.000000:0.000000
–1:@0.496634:0.546043:0.510210:0.546043:0.510210:0.534667:0.496634:0.534667:0.000000:0.000000
1:@0.502424:0.511020:0.509299:0.511020:0.509299:0.499644:0.502424:0.499644:0.000000
2:@0.502424:0.492885:0.509299:0.492885:0.509299:0.481509:0.502424:0.481509:0.000000
3:@0.502424:0.475162:0.509299:0.475162:0.509299:0.463786:0.502424:0.463786:0.000000
4:@0.502424:0.457861:0.509299:0.457861:0.509299:0.446485:0.502424:0.446485:0.000000
5:@0.502424:0.439303:0.509299:0.439303:0.509299:0.427927:0.502424:0.427927:0.000000
–3 –2 –1 0:@0.428727:0.535854:0.509567:0.535854:0.509567:0.524478:0.428727:0.524478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.533315:0.535854:0.540190:0.535854:0.540190:0.524478:0.533315:0.524478:0.000000
2:@0.558216:0.535854:0.565091:0.535854:0.565091:0.524478:0.558216:0.524478:0.000000
3:@0.581656:0.535854:0.588531:0.535854:0.588531:0.524478:0.581656:0.524478:0.000000
4:@0.604158:0.535854:0.611033:0.535854:0.611033:0.524478:0.604158:0.524478:0.000000
5:@0.628884:0.535854:0.635759:0.535854:0.635759:0.524478:0.628884:0.524478:0.000000
6:@0.653611:0.535854:0.660486:0.535854:0.660486:0.524478:0.653611:0.524478:0.000000
7:@0.676448:0.535854:0.683323:0.535854:0.683323:0.524478:0.676448:0.524478:0.000000
eje de simetría x = 2:@0.576342:0.521403:0.576342:0.452983:0.563056:0.452983:0.563056:0.521403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– – –:@0.496634:0.564179:0.503335:0.564179:0.503335:0.552803:0.496634:0.552803:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.496634:0.546043:0.503335:0.546043:0.503335:0.534667:0.496634:0.534667:0.000000
0:@0.502692:0.535854:0.509567:0.535854:0.509567:0.524478:0.502692:0.524478:0.000000
2 2 2:@0.558216:0.535854:0.565091:0.535854:0.565091:0.524478:0.558216:0.524478:0.000000:0.000000:0.000000:0.000000:0.000000
V = (2, 5):@0.567126:0.433272:0.609237:0.433272:0.609237:0.423318:0.567126:0.423318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.548082:0.455425:0.551401:0.455425:0.551401:0.445541:0.548082:0.445541:0.000000
f f:@0.548082:0.455425:0.551401:0.455425:0.551401:0.445541:0.548082:0.445541:0.000000:0.000000:0.000000
cóncava hacia abajo –1<0:@0.569378:0.452679:0.695193:0.452679:0.695193:0.442725:0.569378:0.442725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente] –∞, 2]:@0.421469:0.464384:0.501047:0.464384:0.501047:0.454430:0.421469:0.454430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente2, ∞:@0.608440:0.481669:0.692156:0.481669:0.692156:0.471715:0.608440:0.471715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.502125:0.424251:0.507297:0.424251:0.507297:0.414367:0.502125:0.414367:0.000000
x:@0.695475:0.534256:0.700646:0.534256:0.700646:0.524372:0.695475:0.524372:0.000000
Paso 5.:@0.102121:0.458044:0.154372:0.458044:0.154372:0.442466:0.102121:0.442466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Escribimos el dominio, recorrido :@0.154372:0.458044:0.376271:0.458044:0.376271:0.443145:0.154372:0.443145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y monotonía de la función.:@0.102121:0.473131:0.281203:0.473131:0.281203:0.458232:0.102121:0.458232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dominio:@0.102121:0.495348:0.162849:0.495348:0.162849:0.480235:0.102121:0.480235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: representa los valores que puede :@0.162849:0.495348:0.394012:0.495348:0.394012:0.480449:0.162849:0.480449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tomar la variable  .:@0.102121:0.510435:0.226506:0.510435:0.226506:0.495536:0.102121:0.495536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.216807:0.510435:0.223591:0.510435:0.223591:0.495561:0.216807:0.495561:0.000000
Dom:@0.102121:0.532652:0.134520:0.532652:0.134520:0.517778:0.102121:0.517778:0.000000:0.000000:0.000000
: :@0.134520:0.532652:0.141104:0.532652:0.141104:0.517753:0.134520:0.517753:0.000000:0.000000
:@0.141104:0.533180:0.153199:0.533180:0.153199:0.517174:0.141104:0.517174:0.000000
Recorrido:@0.102121:0.554868:0.167841:0.554868:0.167841:0.539756:0.102121:0.539756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: son los valores que puede tomar :@0.167590:0.554868:0.387632:0.554868:0.387632:0.539969:0.167590:0.539969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.102121:0.569956:0.117115:0.569956:0.117115:0.555082:0.102121:0.555082:0.000000:0.000000:0.000000
( ). Re : ]−∞, 5]:@0.106142:0.569956:0.201413:0.569956:0.201413:0.555057:0.106142:0.555057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.143299:0.569956:0.150268:0.569956:0.150268:0.555082:0.143299:0.555082:0.000000
Monotonía:@0.102121:0.592172:0.177306:0.592172:0.177306:0.577060:0.102121:0.577060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.177055:0.592172:0.179970:0.592172:0.179970:0.577273:0.177055:0.577273:0.000000
es creciente en ]−∞, 2] :@0.102121:0.607260:0.251201:0.607260:0.251201:0.592361:0.102121:0.592361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es decreciente en 2, +∞:@0.102121:0.622348:0.264770:0.622348:0.264770:0.607449:0.102121:0.607449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respondemos a la pregunta: La pelota llega a :@0.102121:0.644564:0.397701:0.644564:0.397701:0.629665:0.102121:0.629665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una altura máxima de 5 m cuando ha recorrido :@0.102121:0.659652:0.408539:0.659652:0.408539:0.644753:0.102121:0.644753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 m horizontalmente.:@0.102121:0.674739:0.240645:0.674739:0.240645:0.659840:0.102121:0.659840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso 1. :@0.102121:0.729988:0.157756:0.729988:0.157756:0.714410:0.102121:0.714410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconocemos en la función cuadrática :@0.157756:0.729988:0.411505:0.729988:0.411505:0.715089:0.157756:0.715089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y x:@0.102121:0.745075:0.131354:0.745075:0.131354:0.730201:0.102121:0.730201:0.000000:0.000000:0.000000
 =   – 2  – 3 los coeficientes:   = 1,   = –2 y   = –3:@0.108504:0.745075:0.420416:0.745075:0.420416:0.730176:0.108504:0.730176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.130934:0.739578:0.135700:0.739578:0.135700:0.730892:0.130934:0.730892:0.000000
x:@0.157671:0.745075:0.164456:0.745075:0.164456:0.730201:0.157671:0.730201:0.000000
a:@0.290853:0.745075:0.299279:0.745075:0.299279:0.730201:0.290853:0.730201:0.000000
b:@0.328428:0.745075:0.336855:0.745075:0.336855:0.730201:0.328428:0.730201:0.000000
c:@0.381667:0.745075:0.388636:0.745075:0.388636:0.730201:0.381667:0.730201:0.000000
f x:@0.518084:0.730229:0.530481:0.730229:0.530481:0.718330:0.518084:0.718330:0.000000:0.000000:0.000000
( ):@0.521501:0.730229:0.534032:0.730229:0.534032:0.718310:0.521501:0.718310:0.000000:0.000000:0.000000
0:@0.535071:0.840960:0.541611:0.840960:0.541611:0.829040:0.535071:0.829040:0.000000
x:@0.700290:0.844822:0.705717:0.844822:0.705717:0.832923:0.700290:0.832923:0.000000
eje de simetría x = 1:@0.584891:0.847608:0.584891:0.767333:0.569009:0.767333:0.569009:0.847608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente –1:@0.452974:0.856230:0.539269:0.854217:0.539269:0.842297:0.452974:0.844310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–∞, 1]:@0.466939:0.867133:0.502105:0.867133:0.502105:0.855214:0.466939:0.855214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.636125:0.807054:0.685430:0.807054:0.685430:0.795135:0.636125:0.795135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[1, +∞):@0.636125:0.817112:0.672578:0.817112:0.672578:0.805193:0.636125:0.805193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 > 0:@0.575186:0.740407:0.602124:0.740407:0.602124:0.728488:0.575186:0.728488:0.000000:0.000000:0.000000:0.000000:0.000000
cóncava :@0.575186:0.750465:0.622535:0.750465:0.622535:0.738546:0.575186:0.738546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia arriba:@0.575186:0.760524:0.636713:0.760524:0.636713:0.748605:0.575186:0.748605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom: :@0.623822:0.888316:0.655946:0.888316:0.655946:0.876397:0.623822:0.876397:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.655946:0.887692:0.665622:0.887692:0.665622:0.878338:0.655946:0.878338:0.000000
Rec: [–4, + ∞):@0.609388:0.898374:0.680056:0.898374:0.680056:0.886455:0.609388:0.886455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.473278:0.892993:0.479912:0.892993:0.479912:0.881094:0.473278:0.881094:0.000000
(1, –4):@0.479912:0.892993:0.512063:0.892993:0.512063:0.881074:0.479912:0.881074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.574288:0.912707:0.580922:0.912707:0.580922:0.900808:0.574288:0.900808:0.000000
1:@0.526095:0.818580:0.532635:0.818580:0.532635:0.806660:0.526095:0.806660:0.000000
–2:@0.526028:0.872040:0.539269:0.872040:0.539269:0.860121:0.526028:0.860121:0.000000:0.000000
–3:@0.526028:0.889864:0.539269:0.889864:0.539269:0.877944:0.526028:0.877944:0.000000:0.000000
–4:@0.526028:0.907687:0.539269:0.907687:0.539269:0.895768:0.526028:0.895768:0.000000:0.000000
2:@0.526095:0.800766:0.532635:0.800766:0.532635:0.788847:0.526095:0.788847:0.000000
3:@0.526095:0.782943:0.532635:0.782943:0.532635:0.771023:0.526095:0.771023:0.000000
4:@0.526095:0.765119:0.532635:0.765119:0.532635:0.753200:0.526095:0.753200:0.000000
5:@0.526095:0.747296:0.532635:0.747296:0.532635:0.735376:0.526095:0.735376:0.000000
–2 –1:@0.491236:0.843313:0.528226:0.843313:0.528226:0.831394:0.491236:0.831394:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.565818:0.843313:0.572358:0.843313:0.572358:0.831394:0.565818:0.831394:0.000000
2:@0.589566:0.843313:0.596106:0.843313:0.596106:0.831394:0.589566:0.831394:0.000000
3:@0.613314:0.843313:0.619855:0.843313:0.619855:0.831394:0.613314:0.831394:0.000000
4:@0.637063:0.843313:0.643603:0.843313:0.643603:0.831394:0.637063:0.831394:0.000000
5:@0.660811:0.843313:0.667351:0.843313:0.667351:0.831394:0.660811:0.831394:0.000000
6:@0.684090:0.843313:0.690630:0.843313:0.690630:0.831394:0.684090:0.831394:0.000000
–3:@0.467515:0.843313:0.480756:0.843313:0.480756:0.831394:0.467515:0.831394:0.000000:0.000000
–4:@0.443767:0.843313:0.457008:0.843313:0.457008:0.831394:0.443767:0.831394:0.000000:0.000000
Paso 2. :@0.102121:0.775240:0.157756:0.775240:0.157756:0.759663:0.102121:0.759663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos el vértice de la parábola.:@0.157756:0.775240:0.413498:0.775240:0.413498:0.760341:0.157756:0.760341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.105216:0.801487:0.111099:0.801487:0.111099:0.786762:0.105216:0.786762:0.000000
b:@0.139422:0.793595:0.146729:0.793595:0.146729:0.778870:0.139422:0.778870:0.000000
a:@0.142807:0.811245:0.150113:0.811245:0.150113:0.796520:0.142807:0.796520:0.000000
=−:@0.114832:0.801113:0.133540:0.801113:0.133540:0.785865:0.114832:0.785865:0.000000:0.000000
==:@0.154035:0.801113:0.183956:0.801113:0.183956:0.785865:0.154035:0.785865:0.000000:0.000000
2:@0.136009:0.811245:0.143097:0.811245:0.143097:0.796495:0.136009:0.796495:0.000000
2:@0.165466:0.793595:0.172554:0.793595:0.172554:0.778845:0.165466:0.778845:0.000000
2:@0.165466:0.811245:0.172554:0.811245:0.172554:0.796495:0.165466:0.796495:0.000000
1:@0.185351:0.801487:0.192439:0.801487:0.192439:0.786737:0.185351:0.786737:0.000000
  :@0.192982:0.813965:0.199632:0.813965:0.199632:0.799066:0.192982:0.799066:0.000000:0.000000
f:@0.200939:0.799223:0.204694:0.799223:0.204694:0.784498:0.200939:0.784498:0.000000
b:@0.230050:0.791332:0.237457:0.791332:0.237457:0.776607:0.230050:0.776607:0.000000
a:@0.233482:0.808982:0.240888:0.808982:0.240888:0.794257:0.233482:0.794257:0.000000
f:@0.262475:0.799223:0.266230:0.799223:0.266230:0.784498:0.262475:0.784498:0.000000
V:@0.391024:0.799223:0.398313:0.799223:0.398313:0.784498:0.391024:0.784498:0.000000
−:@0.216003:0.798850:0.224087:0.798850:0.224087:0.783602:0.216003:0.783602:0.000000
:@0.208302:0.792091:0.213956:0.792091:0.213956:0.776843:0.208302:0.776843:0.000000
:@0.208302:0.809878:0.213956:0.809878:0.213956:0.794630:0.208302:0.794630:0.000000
:@0.208302:0.802061:0.213956:0.802061:0.213956:0.786814:0.208302:0.786814:0.000000
:@0.243686:0.792091:0.249340:0.792091:0.249340:0.776843:0.243686:0.776843:0.000000
:@0.243686:0.809878:0.249340:0.809878:0.249340:0.794630:0.243686:0.794630:0.000000
:@0.243686:0.802061:0.249340:0.802061:0.249340:0.786814:0.243686:0.786814:0.000000
=:@0.252050:0.798838:0.260134:0.798838:0.260134:0.783590:0.252050:0.783590:0.000000
():@0.269837:0.800425:0.285077:0.800425:0.285077:0.780938:0.269837:0.780938:0.000000:0.000000
=−:@0.287616:0.798850:0.312148:0.798850:0.312148:0.783602:0.287616:0.783602:0.000000:0.000000
():@0.322002:0.800425:0.337242:0.800425:0.337242:0.780938:0.322002:0.780938:0.000000:0.000000
−= −:@0.339279:0.798850:0.377652:0.798850:0.377652:0.783602:0.339279:0.783602:0.000000:0.000000:0.000000:0.000000
−:@0.412241:0.798850:0.420325:0.798850:0.420325:0.783602:0.412241:0.783602:0.000000
2:@0.226588:0.808982:0.233774:0.808982:0.233774:0.794232:0.226588:0.794232:0.000000
1 1 21 3:@0.274577:0.799223:0.356389:0.799223:0.356389:0.784473:0.274577:0.784473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:(:@0.377608:0.799223:0.403686:0.799223:0.403686:0.784473:0.377608:0.784473:0.000000:0.000000:0.000000
14):@0.403038:0.799223:0.431796:0.799223:0.431796:0.784473:0.403038:0.784473:0.000000:0.000000:0.000000
,:@0.407897:0.799223:0.410460:0.799223:0.410460:0.784473:0.407897:0.784473:0.000000
Paso 3. :@0.102121:0.831949:0.157756:0.831949:0.157756:0.816371:0.102121:0.816371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinamos la ecuación del eje de :@0.157756:0.831949:0.401217:0.831949:0.401217:0.817050:0.157756:0.817050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simetría. :@0.102121:0.854970:0.159381:0.854970:0.159381:0.840071:0.102121:0.840071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.162662:0.854800:0.169378:0.854800:0.169378:0.840075:0.162662:0.840075:0.000000
b:@0.201719:0.846908:0.210061:0.846908:0.210061:0.832183:0.201719:0.832183:0.000000
a:@0.205585:0.864559:0.213927:0.864559:0.213927:0.849834:0.205585:0.849834:0.000000
=−:@0.173639:0.854427:0.195001:0.854427:0.195001:0.839179:0.173639:0.839179:0.000000:0.000000
==:@0.218400:0.854427:0.252565:0.854427:0.252565:0.839179:0.218400:0.839179:0.000000:0.000000
2:@0.197818:0.864559:0.205912:0.864559:0.205912:0.849809:0.197818:0.849809:0.000000
2:@0.231452:0.846914:0.239545:0.846914:0.239545:0.832164:0.231452:0.832164:0.000000
2:@0.231452:0.864559:0.239545:0.864559:0.239545:0.849809:0.231452:0.849809:0.000000
1:@0.254162:0.854800:0.262255:0.854800:0.262255:0.840050:0.254162:0.840050:0.000000
Paso 4. :@0.102121:0.881845:0.157756:0.881845:0.157756:0.866267:0.102121:0.866267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tomamos valores de x a los dos lados del :@0.157756:0.881845:0.424787:0.881845:0.424787:0.866945:0.157756:0.866945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eje de simetría, elaboramos una tabla de valores y :@0.102121:0.896932:0.424672:0.896932:0.424672:0.882033:0.102121:0.882033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
graficamos.:@0.102121:0.912020:0.175713:0.912020:0.175713:0.897121:0.102121:0.897121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos paso a paso:@0.096358:0.116965:0.251251:0.116965:0.251251:0.101601:0.096358:0.101601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096359:0.144572:0.110585:0.144572:0.110585:0.127671:0.096359:0.127671:0.000000:0.000000
  Regresamos a nuestro problema inicial y respondemos la pregunta.:@0.110585:0.144572:0.618007:0.144572:0.618007:0.128183:0.110585:0.128183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096359:0.175427:0.100395:0.175427:0.100395:0.159039:0.096359:0.159039:0.000000
¿En qué punto la pelota alcanza su mayor altura y qué tan alto llega?:@0.124852:0.175427:0.625765:0.175427:0.625765:0.159039:0.124852:0.159039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Ingeniería:@0.754827:0.152609:0.929603:0.152609:0.929603:0.137244:0.754827:0.137244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones cuadráticas :@0.754827:0.171254:0.928332:0.171254:0.928332:0.156355:0.754827:0.156355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son ampliamente usadas :@0.754827:0.186342:0.924946:0.186342:0.924946:0.171443:0.754827:0.171443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la ciencia, los negocios :@0.754827:0.201430:0.930978:0.201430:0.930978:0.186531:0.754827:0.186531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la ingeniería. La parábola:@0.754827:0.216517:0.927643:0.216517:0.927643:0.201618:0.754827:0.201618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 puede describir :@0.754827:0.231605:0.866547:0.231605:0.866547:0.216706:0.754827:0.216706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trayectorias de chorros :@0.754827:0.246693:0.910472:0.246693:0.910472:0.231793:0.754827:0.231793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de agua en una fuente, :@0.754827:0.261780:0.912547:0.261780:0.912547:0.246881:0.754827:0.246881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el botar una pelota o :@0.754827:0.276868:0.897742:0.276868:0.897742:0.261969:0.754827:0.261969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definir la curvatura en :@0.754827:0.291955:0.903922:0.291955:0.903922:0.277056:0.754827:0.277056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estructuras como :@0.754827:0.307043:0.875091:0.307043:0.875091:0.292144:0.754827:0.292144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reflectores y antenas :@0.754827:0.322131:0.895545:0.322131:0.895545:0.307232:0.754827:0.307232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parabólicas que forman, :@0.754827:0.337218:0.919200:0.337218:0.919200:0.322319:0.754827:0.322319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respectivamente, los faros :@0.754827:0.352306:0.931243:0.352306:0.931243:0.337407:0.754827:0.337407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los carros y la base de :@0.754827:0.367393:0.923505:0.367393:0.923505:0.352494:0.754827:0.352494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los platos satelitales. :@0.754827:0.382481:0.892729:0.382481:0.892729:0.367582:0.754827:0.367582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué otro tipo de :@0.754827:0.519690:0.866246:0.519690:0.866246:0.504816:0.754827:0.504816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones tienen las :@0.754827:0.534778:0.900556:0.534778:0.900556:0.519904:0.754827:0.519904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones cuadráticas?:@0.754827:0.549866:0.899901:0.549866:0.899901:0.534992:0.754827:0.534992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.761432:0.120168:0.897493:0.120168:0.897493:0.103267:0.761432:0.103267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.948892:0.435905:0.948892:0.393080:0.936981:0.393080:0.936981:0.435905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000