Answer
a. The parent function: $f(x)=\sqrt{x}$
b. A reflection across $x$-axis, translation of $5$ units left, and then translation of $8$ units up.
c. See graph
Work Step by Step
a. The parent function is:
$$f(x)=\sqrt{x}$$
b. The sequence of transformations is reflection across $x$-axis, translation of $5$ units left, and then translation of $8$ units up.
c. The sketch of the graph is as shown.
