How do I determine the values of 'h' and 'k' on two points lying on the parabola: y = a(x-h)^2 + k ?

Question

It should be noted that:

a = 1

The two points given were (5, 55) and (-6, 22).

Answer 1

y = (x - h)² + k

55 = (5 - h)² + k

22 = (-6 - h)² + k.

Expand, eliminate k and solve for h.

Substitute x value into either equation to determine y.