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
