[color=#1551b5]Observe how changing the values of [math]a[/math], [math]b[/math], and [math]c[/math] affect the graph of [math]f(x)=ax^2+bx+c[/math]. The parent function is shown for comparison (in green). Move the sliders left or right to change the parameters.[/color]
How does the graph differ from the parent function for values [math]0<a<1[/math]? How does the graph differ from the parent function for values [math]-1<a<0[/math]? How does the graph differ from the parent function for values [math]c>0[/math]? How does the graph differ from the parent function for values [math]c<0[/math]?