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Determine the vertex of the following function:𝑔(𝑥)=|𝑥+3|−2𝑔(𝑥)=|𝑥+3|−2The vertex of the function is: ((

Question

Determine the vertex of the following function:

g(x)=x+32 g(x) = |x + 3| - 2

The vertex of the function is: ((

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Solution

It seems like there's a bit of confusion in your question. However, I'll try to help you find the vertex of the function g(x) = |x+3| - 2.

The vertex of an absolute value function, g(x) = |x-h| + k, is the point (h, k).

In this case, the function can be rewritten as g(x) = |x - (-3)| - 2.

So, comparing this with the standard form, we can see that h = -3 and k = -2.

Therefore, the vertex of the function g(x) = |x+3| - 2 is (-3, -2).

This problem has been solved

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