Answer:
(-2, 5)
Step-by-step explanation:
The form you're trying to match is the vertex form of the equation of a parabola:
y = a(x -h)^2 +k . . . . . . . vertex (h, k)
You have ...
y = -4(x +2)^2 +5
Comparing forms, you see that a=-4, h=-2, k=5.
Then the vertex (h, k) is (-2, 5).
