1. Arrange all the terms containing y on the left side and all other terms on the right hand side.
-y = -x^2 + 6x - 8
2. Complete the square on the right side of the equation.
(x-3)^2 - 1
3. Reorder the right side of the equation to match the vertex form of a parabola.
4. Use the vertex form, y = a(x - y)^2 + k, to determine the values of a, h, and k.
a = 1, h = 3, k = -1
5. Find the vertex (h, k).
(3, -1)