Apply the transformations on the graph of $p\left(x\right)=x^2$ into the graph of $h\left(x\right)=p(3x-6).$ Check your work with the help of a graphing utility.

Use a shift to explain how the graph of $h\left(x\right)=\sqrt{-x^2-6x+27}$ is obtained from the graph of $p\left(x\right)=\sqrt{36-x^2}$. Which of the following transformations applies? Draw the graph of h(x).

Given the graph of the function $h\left(x\right)$, sketch the graph of the function $h(x+3)$.