Answer
Point = $(2,12)$
Work Step by Step
Given that point $(8, 12)$ is on the graph of $y = f(x)$ and it can be seen that the graph of $y = f(4x)$ is the horizontal shrinking of the graph of $y = f(x)$ by $\frac{1}{4}$ times,
One point on the graph of $y = f(4x)$ will be $(2, 12)$ because for every point $(x, y)$ on the graph of $y = f(x)$, there will be a corresponding point $(\frac{x}{4}, y)$ on the graph of $y = f(4x)$ .