A parabola can be drawn given a focus of (−8,0) and a directrix of y=−2. What can be said about the parabola?

The parabola will be upward facing, with the vertex at the point midway between the focus and the directrix, so its vertex will be at (-8, -1). The distance from the focus to the vertex is the same as the distance from the vertex to the directrix, which is 1. Therefore, the equation of the parabola in standard form is (y + 1)^2= 4(x + 8).