Answer:
y = - (x - 5)² + 7
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
