Answer:
vertex = (4, - 5)
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(x) = (x - 4)² - 5 ← is in vertex form
with (h, k) = (4, - 5) ← vertex