What is the equation of a parabola with vertex (7, 2) and focus (7,-2)?

Explanation:

p = distance from vertex to focus = focal distance = 4

y = a(x-h)^2 + k is the vertex form of a parabola

(h,k) is the vertex, so (h,k) = (7,2) means h = 7 and k = 2.

'a' determines the direction the parabola faces and how stretched/compressed the graph is.

In terms of p, a = -1/(4p). The value of 'a' is negative since the vertex is above the focus. So, a = -1/(4p) = -1/(4*4) = -1/16.

with a = -1/16, h = 7 and k = 2, we can say

y = a(x-h)^2 + k

y = (-1/16)(x-7)^2 + 2

answer:

a=9

step-by-step explanation: lmk if you need a explanation