Answer
See below
Work Step by Step
We are given a parabola with vertex at $(-4, -3)$ and focus at $(1, -3)$
We can see that $h=-4\\k=-3$
The standard form for the parabola is $(y-k)^2=4p(x-h)$
Thus, $p=5$
Write an equation: $(y+3)^2=20(x+4)$