Answer
Graph $F$
Work Step by Step
Given the function: $$y=(x+5)(x-3)$$
Rewrite it in the form $y=a(x-p)(x-q)$: $$y=(x-(-5))(x-3)$$
It follows that the $x$-intercepts are $-5$ and $3$.
The graph which intersects the $x$-axis at $x=-5$ and $x=3$ is graph $F$.