find parabola features without a graph

Question

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

what is the vertex and p value

Answer 1

Focus is midway between vertex and directrix, (-8, -18)

Directrix is y = k - p, 2 = -18 + p, p = 20

a = 1 / 4p

a = 1 / 80

f(x) = (1/80)(x + 8)² - 18