Question

The vertex of a parabola is at point 2,5.Which equations could be for this parabola below??

A.)y=(x-2)^2-5
b.)x=-4(y-2)^2
c.)y=(x+5)^2+2
d.)y=(x+2)^2-5

Answer 1

The vertex form of the equation of a vertical parabola is

y = (x-h)^2 + k, where (h,k) is the vertex.

Here, because the vertex is at (2,5), that equation must be:

y = (x-2)^2 + 5.

Answer A is closest, but ought to be A) y = (x-2)^2 + 5 (the 5 is positive).