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

Use a shift to explain how the graph of $h(x)=\sqrt{-x^2-6x+27}$ is obtained from the graph of $p(x)=\sqrt{36-x^2}$ . 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 $h\left(x+3\right)$.