What is an equation of a parabola with the given vertex and focus? Show all the steps that you use to solve this problem.

Question

vertex: (-2,5); focus: (-2,6)

Answer 1

the axis is vertical, since the vertex and the focus are on x = -2
The vertex is 1 unit away from the focus, so
(x+2)^2 = 4(y - 5)