Answer
True
Work Step by Step
If we reflect a point $(x,y)$ about the x-axis, it becomes $(x,-y)$.
If $y=-f(x)$, then $-y=f(x)$, then, for the same value of $x$, the value of $y$ changes to its opposite.
This means that each point pf the original function is being reflected about the $x$-axis.
Hence, the given statement is true.