Our functions are
1. 9(x - 5)^2 + 6
2. 5(x - 6)^2 + 9
3. 6(x + 9)^2 - 5
4. 9(x + 5)^2 - 6
5. 6(x - 5)^2 - 9
To get the vertex, referring to a(x - h)^2 + k, we only need h and k. The vertex will be at (h, k), so using this, we can go back and find h and k.
1. (5, 6)
2. (6, 9)
3. (-9, -5)
4. (-5, -6)
5. (5, -9)