y = x^2 - 6x - 16

The equation represents a parabola opening upwards. To find the vertex, we can complete the square or use the formula x = -b/(2a).

Completing the square: y = (x^2 - 6x + 9) - 9 - 16 = (x - 3)^2 - 25.

The vertex is at (3, -25).