Work Step by Step
RECALL: The graph of the function $y=f(x-h)$ involves a horizontal shift of $|h|$ units (to the right when $h$ is positive, to the left when $h$ is negative) of the parent function $f(x)$. The parent function of the given function is $y=x^2$. The given function can be written as $g(x)=[x-(-4)]^2$. Thus, the given function is in the form $y=f(x-h)$ with $h=-4$. Therefore, the given function involves a 4-unit shift to the left of the parent function $y=x^2$.