Answer: (-3, -6)
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Step-by-step explanation:
The vertex of f(x) is (-3,4)
The vertex of -f(x) is (-3,-4). Note the y coordinate flips in sign. This is effectively because y = f(x).
Shifting the vertex down 2 units will get us to g(x) = -f(x)-2
So that's how we end up with (-3, -6)