Answer
(a) Parent function: $f(x)=x^2$
(b) A translation of $9$ units down.
(c) The graph of $h$ is as shown.
(d) $h(x)=f(x)-9$
Work Step by Step
(a) Parent function:
$$f(x)=x^2$$
(b) The transformation is a translation of $9$ units down.
(c) The graph of $h$ is as shown.
(d) $h$ in terms of $f$:
$$h(x)=f(x)-9$$