College Algebra (10th Edition)

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).