Question

Determine the equation of the parabola that opens down, has vertex ( − 2 , − 4 ) (−2,−4), and a focal diameter of 32.

Answer 1

Since the Parabola opens down, we know it is a vertical graph.

Standard Equation of a Vertical Parabola: (x - h)² = 4p (y - k)

Vertex: (h, k)

Focal Diameter: 2p

2p = 32

p = 16

(x + 2)² = 64 (y + 4)