Answer
(a) Parent function: $f(x)=\sqrt{x}$
(b) A reflection across $x$-axis and translation of $4$ units up.
(c) The graph of $h$ is as shown.
(d) $h(x)=-f(x)+4$
Work Step by Step
(a) Parent function:
$$f(x)=\sqrt{x}$$
(b) The transformation is a reflection across $x$-axis and translation of $4$ units up.
(c) The graph of $h$ is as shown.
(d) $h$ in terms of $f$:
$$h(x)=-f(x)+4$$
