find the quadratic function y=a(x-h)^2 for which graph include the points (-5,2) (1,2)

Answer 1

The graph of y = a(x - h)² is a parabola.

Since the y-coordinates of the two given points are the same, the x-coordinate, h ,of the vertex lies halfway between the x-coordinates of those two points.

So, h = -2.

Therefore, y = a(x + 2)²

Plug in either of the given points and solve for a.

Answer 2

Since the y-coordinate of both points is the same and the x-coordinates are different, you do not have a function. Because of this, the problem cannot be solved as it current is stated.

Can you check the original problem and repost it so that we can provide a correct answer?