Answer
Refer to the black graph in the attached image below for the graph.
Work Step by Step
Graph the parent function $ y=\sqrt{x}$.
(refer to the attached image below)
RECALL:
The function $y=a\cdot f(x)$ involves either of the following transformations of the parent function $f(x)$:
(i) a vertical stretch by a factor of $a$ if $a\gt0$, or
(ii) a vertical compression if $0\lt a \lt 1$.
The given function has $a=4$.
This means that the graph of the given function involves a vertical stretch by a factor of $4$ of the parent function.
Thus, to graph the given function, multiply each y-value of the parent function while retaining the x-value of each point..
Refer to the attached image in the answer part above.
