Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4. (2 points)

Check the picture below.

since the focus point is at -4, 0 and the directrix is a vertical line at  x = 4, is a horizontal parabola, and it opens to the left-hand-side.

now, notice the distance "p", is just 4 units, however, the parabola is opening to the left-side, thus "p" is negative, then is -4, the vertex is half-way between the focus point and the directrix.