Question

Find the vertex, focus, and directrix of the parabola with the given equation.

(y + 2)² = 16 (x + 1)

Answer 1

Explanation:

(y + 2)² = 16 (x +1)

(y + 2)(y + 2) = 16x + 16

y² + 2y + 2y + 4 = 16x + 16

y² + 4y = 16x + 16 - 4

y² + 4y = 16x + 12

y² + 4y - 16x - 12 = 0.