Final answer:
The axis of symmetry is x = 5 and the vertex is (5, -7).
Step-by-step explanation:
To find the axis of symmetry and vertex for the function h(x) = (x − 5)2 - 7, we can use the vertex form of a quadratic function, which is y = a(x - h)2 + k. In this form, (h, k) represents the vertex of the parabola.
Comparing the given function with the vertex form, we can see that the vertex is (5, -7) and the axis of symmetry is the vertical line x = 5.