Answer
(a) Parent function: $f(x)=x^3$
(b) A translation of $2$ units right and $2$ units up.
(c) The graph of $h$ is as shown.
(d) $h(x)=f(x-2)+2$
Work Step by Step
(a) Parent function: $$f(x)=x^3$$
(b) The transformation is a translation of $2$ units right and $2$ units up.
(c) The graph of $h$ is as shown.
(d) $h$ in terms of $f$:
$$h(x)=f(x-2)+2$$
