Answer
Option (d)
Work Step by Step
RECALL:
The graph of the function $y=f(x)+k$ yields one of the following transformations of the parent function $f(x)$:
(i) vertical shift of $k$ units upward when $k\gt0$; or
(ii) vertical shift of $|k|$ units downward when $k\lt 0$
The given function involves a vertical shift of $3$ units downward.
This means thas $k=-3$.
Thus, the equation of the function is:
$y=\sqrt{x}-3$
Therefore, the answer is Option (d).