The graphs below represent what happens when a graph is stretching and compressed both horizontally and vertically. [math]f(x)=x^2[/math], [math]g(x)=ax^2[/math], and [math]h(x)=(ax)^2[/math]$. You can move the slider to see how that changes the looks of the graphs. Also, I have marked some of the points for comparison.
[list] [*]What happens to [math]f(x)[/math] whenever [math]a<1[/math]? [*]What happens to [math]f(x)[/math] whenever [math]a>1[/math]? [*]What happens to [math]f(x)[/math] whenever [math]a=1[/math]? [/list]