Given point (-11, -11) and vertex (-9, 1), determine the quadratic function in vertex form:

Question

Given point (-11, -11) and vertex (-9, 1), determine the quadratic function in vertex form:

      y = a(x - h)² + k.

The value of a - h + k is

Answer 1

 y = a(x - h)² + k

where (h, k) is the center = (-9, 1) and a is a constant.

y = a (x - (-9))² + 1 = a (x+9)² + 1

Almost there. Now you just need to find the value of the constant a. To do that, plug in the given point (-11,-11):

y = a (x+9)² + 1

-11 = a (-11+9)² + 1

Solve for a.