Answer:
The vertex of the parabola is (3, 4)
Step-by-step explanation:
Given the equation:

This is in the form:

With a = -1, b = 6, and c = -5
The x-coordinate of the vertex is given as:

Substituting x by 3 in the equation of the parabola, we can obtain the y-coordinate of the vertex.
Doing that, we have:

Therefore, the vertex of the parabola is (3, 4)