By default, the function on the left is [math]f(x)=x^2[/math] and the function on the right is [math]g(x)=\sqrt{x}[/math]. The purpose of this applet is to help you investigate graph transformations by displaying the graph of [math]af\left(bx+c\right)+d[/math]. Replace either [math]f[/math] or [math]g[/math] with other functions if you wish (the 6 "elementary" functions are all worth investigating).