Answer
(a) Parent function is:$f(x)=\sqrt{x}$
(b) A reflection across the $x$-axis, translation of $1$ unit left, and translation of $9$ units up.
(c) The graph of $h$ is as shown.
(d) $h(x)=-f(x+1)+9$
Work Step by Step
(a) Parent function is:
$$f(x)=\sqrt{x}$$
(b) The transformation is a reflection across the $x$-axis, translation of $1$ unit left, and translation of $9$ units up.
(c) The graph of $h$ is as shown.
(d) $h$ in terms of $f$ is:
$$h(x)=-f(x+1)+9$$