What is the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2)?

Step-by-step explanation:

y = a(x - h)² + k        - vertex form of  the equation of the parabola with vertex (h, k)  

So  the equation of the parabola with vertex (5, 7):

y = a(x - 5)² + 7

The parabola passes through point (2, -2) so if x=2 then y=-2

- 2 = a(2 - 5)² + 7

- 2 -7 = a(-3)² + 7 -7

- 9 = 9a

a = - 1

So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):

                                        y = - 1(x - 5)² + 7

2y+y=5

add 2y and y