Representações para Função Quadrática

Matemática da Educação Básica
Na aplicação abaixo será possível perceber a relação entre as diferentes representações (tabular, algébrica e gráfica) para uma mesma função quadrática sob a forma [math]f(x)=ax^2+bx+c[/math].[br]
Modifique os valores dos coeficientes (a, b e c) da função quadrática, e observe as mudanças nas outras representações (regra, tabela e gráfico).
Questões para Reflexão e Investigação
a) Quando o [b]coeficiente a[/b] muda de sinal, o que acontece com gráfico da função quadrática?[br][br]b) Quando o [b]coeficiente c[/b] varia, como se modifica o gráfico da função quadrática?[br][br]c) Todo gráfico de uma função quadrática sempre [u]intersecta o Eixo Y[/u] em um ponto?[br][br]d) Todo gráfico de uma função quadrática sempre [u]intersecta o Eixo X[/u] em dois pontos (raízes)?[br][br]e) Encontre os valores para os [b]coeficientes a, b e c[/b] de uma função quadrática de modo que seu gráfico seja idêntico ao da imagem seguinte.[br][center][img]data:image/png;base64,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[/img][/center]

Information: Representações para Função Quadrática