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 $x$-axis will be $(8, -12)$ because every $y$-value of the graph of $y = f(x)$ across the $x$-axis is the negative of the corresponding $y$-value of $y = f(x)$.