Answer
Point = $(-8, 12)$
Work Step by Step
Given that point $(8, 12)$ is on the graph of $y = f(x)$ and,
One point on the graph of $y = f(x)$ across the $y$-axis will be $(-8, 12)$ because every $x$-value of the graph of $y = f(x)$ across the $y$-axis is the negative of the corresponding $x$-value of $y = f(x)$.
All corresponding $y$-values are the same.