The equation of the parabola is 8 · (y - 8) = (x + 9)². (Correct choice: B)
How to determine the equation of a parabola
One of the images show the representation of a parabola set on Cartesian plane, whose axis of symmetry is parallel with y-axis. The vertex form of the equation of the parabola:
4 · p · (y - k) = (x - h)²
Where:
- (h, k) - Coordinates of the vertex.
- p - Least distance between focus and vertex.
The coordinates of the vertex and focus are (- 9, 8) and (- 9, 10), respectively. Now we proceed to determine the vertex form of the equation of the parabola:
Least distance between focus and vertex:
p = 10 - 8
p = 2
Equation of the parabola:
8 · (y - 8) = (x + 9)²