Answer
Graph $D$
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 $D$