GRÁFICO DA FUNÇÃO QUADRÁTICA
GRÁFICO DA FUNÇÃO QUADRÁTICA COM CONTROLE DESLIZANTE
Essa atividade tem o intuito de mostrar, de maneira mais lúdica, a influência de cada coeficiente (a, b ,c) no gráfico da Função Quadrática.[br][br]PIBID MATEMÁTICA UFRJ
(ʘᴥʘ) Explorando Função Quadrática (^._.^)ノ
Explorando a Função Quadrática
Explore a atividade acima, experimente alterar os valores dos coeficientes a, b e c (que são os respectivos controles deslizantes). Observe as alterações no gráfico da função conforme os coeficientes são modificados. [br]Logo após resolva as questões abaixo:
Referente ao controle deslizante "a":
Representa o coeficiente "a" na função quadrática [img]data:image/png;base64,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[/img] . Com base nessa informação responda as questões 1, 2 e 3 abaixo.
Questão 1
1) Mova o controle deslizante "a" de forma que seu valor seja positivo. Dessa forma a concavidade da parábola está voltada:
Questão 2
Agora mova o controle deslizante "a" de forma que seu valor seja negativo. Dessa forma a concavidade da parábola está voltada:
Questão 3
Se você mover o controle deslizante "a" de forma que assuma o valor [i]a = 0,[/i] o que acontecerá com o gráfico da função?
Referente ao controle deslizante "b":
[br]Está associado ao coeficiente b da função quadrática [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHwAAAAUCAYAAABPuVmJAAAEpklEQVRoQ+2YV4hlRRCGvzVhxl2zqA+GxZxexIiiGFEQXcw5gIo5oRjABIo5IJhwTciimDAgZkVF1AcTYngwYcSAGSPfWA3tcfqcPsPdmdG9BcsO51Z1V1f46++ewlDmqAhMmaNOOzwsw4T/XQT3ApsDCwDz/5/rYjwT/gCw4yQM5rHApTBS/O8ATwMHT0I/B+JSTcKfBK4Hbi3seBhwbYU36wCnAXtU6I6nyqZRiKcCbwLfAhsNyIFLgPWBFwDXn3DpSvifUfnp/6bDHuIn4LLKk9wEfAScXqk/3mqlc47VD9HjbGDfGBtjXWdgdm0J3wp4NBKu482kLgG8CizX05svgY2Bt3vazW7174BFKje5Dji0Qlf0eCZiWKHeqeJ6yrOdmgWFtoTbjVsDyxds9wJmALv03Pxu4BvgwJ52s1N9H2BaJObyio2eALas0LsBOGiACbfxlFpE/ZeLpYR/CCwc/74H1gI+blhfBfwAnJJ9d2ZtEIx3rvj+etgntZnAipUBq4jpP1QuBo4Pv+QVJub+0PDvhaI7hG715Cf3ACeGjuNpVsXIkdytWuHce8BKwQvcc3/gPuANYB5gceBI4ArAeC3ZsWafhDtGHJ1LAXcBh7h2W4d/GsEqQddzgAF2sSQpEGfE7LoZ2BmYmulY8RcUDidU7tZxaEeC6NCEtXMDbdYM+x+B3eMMBsoOPhP4HTgq0EkY17++4toLVhj9BogYJwDnBzlcF0j2FuFqwFPAJsAKHWteE78f3qF3HrATIFF2j6WBNboSbkUajNQhzT0+A1YHvsp+cMaYCDfZsBAUK85iSghQEbcqFdn1OcBFoZ0TsJyDjIWYWYgmxMA55+cFXEdE8PwS0ZMaRWjh3hGdrEvGxHgtk53Gb+8DBxROKGJuG126KDBf6P0SY/ETQMRsQryxuDJDKpM/kse2Dv+54xHia0Bi98oozvqbcOl8F7KuznS0eTiCNto5E2yVsvzSKN3tgYTmucPoiEi+kJmLAbbqm9+rKipTEiXSXiVbz3FWhm5fAO82rny/AtsHOT4m0KDNl9R8nrck2wEPlhqqlHAhQxhapWVhkypEWklJEpmx+jfLuj0nOFbt3tEtg0r4rvFWkEbH48AfEUCDlPv1ELADYLAlpcJpXzF5NfPWYnfWrwe8HJAuOqwcG16YdW1Nwk/O7Eo+u7ZNkY/Rzg43QEobE30ReC17ldLGZ0kJyRYR7KOjaPLCkqUvNmDS5nz+IEjm50GShFnn1m3AcYE4Bn06sE0gTFeXloL6fMXjjCji2Ls97uG+5kkUJcQSN6+mJkcmr67zu4v515K2RwBJtbcom0uIHymAUoebvFuAG1tKX+IkodPxJFazpOTOmD0y9Ca7F+olc21r9+24HGG8Yrln8+3APffLCjkV9Vj2qr2WLRvE0RH2VrZR7ltNZyfT2oSr76uhbyV7Ao+lBZoJ9xohq5QE1JAqO1xYsjhqxAKx69euUZ7EOomcTmIXR3etmXDv3N6/nbPCT434zj5yx6sQ534+WypMhiqDjEDXW3rtXl7wvQe3iXAkrAlvQ5mgCAwq4RPk/nDbvhEYJrxvxP7j+n8BNC/qFV3AXNAAAAAASUVORK5CYII=[/img] . Com base nessa informação, responda a questão 4.
Questão 4
Movimente lentamente o controle deslizante "b" para a direita e esquerda, verificando como a parábola se inclina após ultrapassar o eixo Y. Responda o que você observa graficamente quando:[br][br]a) b > 0[br][br]b) b < 0[br][br]c) b = 0[br][br]
Referente ao controle deslizante "c":
O controle deslizante "c" está associado ao coeficiente c da função quadrática [img]data:image/png;base64,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[/img] . Ele indica onde a parábola "corta" no o eixo Y , ou seja, o ponto C (0, c). Com base nessas informações, responda a questão 5.
Questão 5
Movimente o controle deslizante "c" para a direita e para esquerda e responda o que você observa graficamente quando:[br][br]a) c > 0[br][br]b) c < 0[br][br]d) c = 0
Explorando as raízes da função quadrática.
As [b]raízes da função quadrática[/b] são 2 valores numéricos que quando substituem o lugar de x na função, tornam o valor desta função igual a zero ƒ(x) = 0. Em outras palavras são os pontos onde a parábola intercepta (corta) o eixo do X, que são os pontos [b]A[/b] e [b]B [/b]no gráfico apresentado acima. [br][br]Dependendo do valor do discriminante (∆), uma [b]função quadrática[/b] pode ter duas [b]raízes[/b] reais e distintas, duas [b]raízes[/b] reais e iguais ou então, duas [b]raízes[/b] complexas[br][img]data:image/png;base64,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[/img] 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[/img][br][br]Vamos agora estudar algumas situações envolvendo as raízes da função quadrática, resolvendo as questões de 6 até 9.
Questão 6
Encontre as raízes da função [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIcAAAAUCAYAAACnFS7nAAAD7UlEQVRoBe1ZMUjDQBQtiIiUUgQRESniIlKKSEEcnLo4OrgUBycpiEORIoVSRERcHBwcXBxdO4iIQ6GTSDcRBwcpdOhQShGKg4jIl/fhIEnvmmuT1GD7ISS5+//u3b+Xf/8uARrK0AMKDwQU5QNR/PHxQRsbGzQ2NkbRaJSen58HYty6gxxoctzd3dHq6ip9fn5SsVikxcVFXb8NhJ5jcjSbTTo4OKCfnx9bh2UyGWo0GrZ6/VR4f3/n7r6/v2l8fLyfXfu+LyU5arUabW5uUjAYpNHRUUqlUm2DgWPxteVyubY6WcHh4SHriwmR6fxV2cnJCYG8XsrFxQUFAgEKh8NedqPV9vX1Na2srPCSio8ikUjQ6+uryVZJjrW1NRoZGSGQpNVq0f39vckQL1tbWzQ7O0tfX19tdbICRJdIJELJZFJW/WdlmDQZ+d0EhMg0MzPDPgVBvBB8fDoCLEtLS3R2dkZ4rlQqTNqFhQWTuRIliIFETSUvLy/cYDabValIy4+OjtgO9n4Q4PE6YmCc5+fnND8/T6FQiMfvxdi7IZ0xDQBBYGtdVpXkgHIncuzv73ODSOq6Eeijbdj/tQgsGKe4vMAkosbx8bFvyGEc5+npKc8JPhSjSMmxvb3NyphEXOVy2WjDz1ivUIeEVMj6+jpNTk7S09MTlUolZmI6nRbVfMf2EXbxeNxULnuZm5sz4RB4jHfodBIdTJ3s3ahD1EAkrtfrtuRwghd+6UZub285n4QdtvRWUbYmJsBqIN4RgqxgQBSEzqmpKXYCCIBtolVgZw1hVh233nUxudWftR1EDeRlIs+yW1ac4LXOhxWL6v3m5obncnd316TSMzlU5Hl7e6OJiQkmCJJZmcAWO6B+iQ6mTliwHCAidrpUifnl5SU7/vHxkbuwIweUdPCCdFgKxTyo7ugPup0E+QfsrWlEz+SQRQ4AwGGSWL8fHh6kmACkX5FDF5MUqAuF2ObLJg7LjCop1/GhDBr60RVjQirIgWMLoyhbEwMyKhufZTkHtkSIGjgzyOfzHD2q1arRjETOAXs7cSPn0MFkh8PNeju/OsGrSw7kkDiqELlkoVBgAu/s7JiGqiQHwhEulYjdCpIaIfg/sby8zKelOPvAAVksFhPVfIc+BtGv3YoOJhNAj1/s/OoEry45cEqN7TvOnBDB8EHv7e3xh2scvpIcRiXZc6/nHIgoGIQqpMr6GpbpeUCXHHqtEfVMDnSAE9Lp6WntE1KRucNuKO57wHpO4bQHR+TAPxIsG7qnpH7+t+LUkf/R3hE54BDsy6+urrT+ykLPb39l/+OkujUmx+RwC8iwHf95YEgO/82JbxD9AisNKJYlLQo4AAAAAElFTkSuQmCC[/img] e logo após posicione os controles deslizantes em:[br]a =1 , b = -4 e c = 3. Esses são os respectivos coeficientes da função.[br][br]Responda: [br][br]a) A parábola corta o eixo do X em algum ponto? Se sua resposta for afirmativa, qual ou quais são esses pontos? Relacione-os às suas raízes.[br][br]b) Qual o valor do discriminante (delta) encontrado? Analise para responder a penúltima pergunta das atividades.
Questão 7
Encontre as raízes da função [img]data:image/png;base64,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[/img] e logo após posicione os controles deslizantes em:[br]a =2 , b = -4 e c = 5. Esses são os respectivos coeficientes da função.[br][br]Responda: [br][br]a) A parábola corta o eixo do X em algum ponto? Se sua resposta for afirmativa, qual ou quais são esses pontos? Relacione-os às suas raízes.[br][br]b) Qual o valor do discriminante (delta) encontrado? Analise para responder a penúltima pergunta das atividades.[br][br]
Questão 8
Encontre as raízes da função [img]data:image/png;base64,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[/img] e logo após posicione os controles deslizantes em:[br]a =-1 , b = 4 e c = -4. Esses são os respectivos coeficientes da função.[br][br]Responda: [br][br]a) A parábola corta o eixo do X em algum ponto? Se sua resposta for afirmativa, qual ou quais são esses pontos? Relacione-os às suas raízes.[br][br]b) Qual o valor do discriminante (delta) encontrado? Analise para responder a penúltima pergunta das atividades.
Questão 9
Cada caso acima foi exemplificado à uma situação relacionada ao discriminante e às possíveis situações das raízes da função quadrática. Analise os exemplos acima e responda:[br][br]a) Quando tivemos, no gráfico, dois pontos interceptando o eixo X, qual o sinal do discriminante encontrado (positivo, negativo ou nulo)?[br][br]b) Quando tivemos, no gráfico, somente um ponto interceptando o eixo X, qual o sinal do discriminante encontrado (positivo, negativo ou nulo)?[br][br]c) Quando não tivemos, no gráfico, nenhum ponto interceptando o eixo X, qual o sinal do discriminante encontrado (positivo, negativo ou nulo)?[br][br]
Referente ao vértice da parábola
O vértice da parábola corresponde ao ponto em que o gráfico de uma função do 2º grau muda de sentido. Levando em consideração isto, responda a questão 10.
Questão 10
Calcule o vértice da seguinte função do 2° grau [br][img]data:image/png;base64,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[/img][br]
Obrigada especial ao Vitor Junqueira \(^◇^)/ e ao grupo do GeoGebra pelos materiais disponibilizados de excelente qualidade!!!
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