Using the slider in each graph check what happens when you change the value of [math]a[/math] in [math]f(x)=(x-a)^3[/math], [math]g(x)=\frac{1}{\left(x-a\right)^2}[/math], and [math]h(x)=3^{x+a}[/math] and compare to the original functions [math]f_1, g_1,[/math] and [math]h_1[/math]. [br][br]What is the relationship between the pairs of graphs?

Can you make a general conjecture about the graph of functions from your observations?