a parabola can be drawn given a focus of (3,-7) and a directrix of y = -11. write the equation of the parabola in any form

Answer 1

Focus: (h, k + p), k + p = -7

Directrix: y = k - p, k - p = -11

2k = -18

k = -9

p = 2

Vertex: (3, -9)

a = 1 / 4p

a = 1 / 8

f(x) = (1/8)(x - 3)² - 9