Answer
Point = $(8,3)$
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 $y = \frac{1}{4} f(x)$ is the vertical shrinking of the graph of $y = f(x)$ by $\frac{1}{4}$ times,
One point on the graph of $y = \frac{1}{4} f(x)$ will be $(8, 3)$ because for every corresponding $x$-values on the graph of $y = f(x)$, the $y$-values of the graph of $y = \frac{1}{4} f(x)$ are each $\frac {1}{4}$ those of $y = f(x)$.