Which graph represents the function g of x is equal to start absolute value x plus 4 end absolute value plus 2 ?

The function is g(x) = |x + 4| + 2. An absolute-value graph in the form |x − h| + k has its vertex at (h, k). Since x + 4 = x − (−4), the vertex is (−4, 2), so the graph described in choice B is correct.

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