Hello!
For quadratics, vertex form is: f(x) = a(x - h)² + k, and in this equation, h, k is the vertex. Also, h is the x-value and k is the y-value, so the ordered pair is (h, k).
Since the given equation is in vertex form, 2 is the h value, and -5 is the k value.
Therefore, the vertex of g(x) is (2, -5).