Answer:
y = - 6(x - 3)² + 4
Explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
y = a(x - h)² + k
So the equation of the parabola with vertex (3, 4):
y = a(x - 3)² + 4
The parabola passes through point (2, -2) so if x=2 then y=-2
- 2 = a(2 - 3)² + 4
- 2 -4 = a(-1)² + 4 -4
- 6 = a
So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):
y = - 6(x - 3)² + 4