Answer
Refer to the blue graph below.
Work Step by Step
RECALL:
The function $y=a\cdot f(x)$ involves a vertical stretch of the parent function $f(x)$ when $a \gt 1$. The function will involve a vertical compression when $0 \lt a \lt 1$.
The parent function of the given function is $y=x^2$.
The graph of the given function involves a vertical compression of the parent function $y=x^2$.
Thus, to graph the given function:
(1) Graph the parent function $y=x^2$ .
(Refer to the red graph in the attached image below)
(2) Multiply $\frac{1}{4}$ to each y-value of the parent function while keeping the value of the x-coordinate of each point.
(Refer to the blue graph in the attached image above.)
