What is the vertex of the graph of f of x is equal to start absolute value x plus 3 end absolute value plus 7 ?

The absolute-value function in vertex form is f(x) = |x − h| + k, with vertex (h, k). Since x + 3 = x − (−3), the horizontal shift is −3, and the +7 shifts the graph up 7. The vertex is (−3, 7), which is choice D.

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