Question

Using the given information, give the vertex form equation of each parabola.

Answer 1

Answer:

The answer to your question is   y = 2(x + 8)²

Step-by-step explanation:

This is a vertical parabola that opens upwards

The distance from the vertex to the directrix is 1/8 so p = 1/8.

Equation

                 (x - h)² = 4p(y - k)

h = -7

k = 0

p = 1/8

Substitution

              (x + 8)² = 4(1/8)(y - 0)

Vertex form equation

              (x + 8)² = 1/2(y)

              y = 2(x + 8)²

              x² + 16x + 64 = 1/2y

              2x² + 32x + 128 = y

General equation

              2x² + 32x - y + 128 = 0