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Answer:
a = -2, h = -3, k = -1
vertex = (-3, -1)
Step-by-step explanation:
Compare the given equation ...
g(x) = -2(x +3)² -1
to the vertex form ...
g(x) = a(x -h)² +k
You see that ...
a = -2
-h = +3 ⇒ h = -3
+k = -1 ⇒ k = -1
The vertex is (h, k), so is ...
vertex = (-3, -1)
