The vertex of this parabola is at (5,-4). which of the following could be its equation?

Question

A: y= 2(x-5)2 + 4

B: y=2(x+5)2 + 4

C: y=2(x-5)2 - 4

D y=2(x+5)2 - 4

Answer 1

The vertex equation for a parabola is: y = a(x-h)^2 + k

(h,k) is the vertex. Using the information provided:

y = a(x-5)^2 - 4

Even though we don't know what a is, C has to be the answer.