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What is the vertex of g(x) = -3|x + 5| +7? (–3, 7) (5, 7) (–3, 5) (–5, 7)

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Belaliidn

Notice that the given function is a form of an absolute value function.

The standard form of an absolute value function is y = a|x - h| + k, where (h, k) is the vertex of the absolute value function.

  1. In this case, x + 5 can be rewritten as x - (-5). Therefore, h = -5.

  2. The constant term outside the absolute value function is +7, which represents k.

  3. The vertex (h, k) of the function g(x) is (-5, 7).

From the provided options, the correct answer is D.

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