What is the vertex of the graph of y + 2x + 3 = –(x + 2)2 + 1?

First isolate y: y = −(x + 2)² + 1 − 2x − 3 = −(x + 2)² − 2x − 2. Expanding gives y = −x² − 6x − 6, whose vertex has x-coordinate −b/(2a) = −(−6)/(2·−1) = −3. Substituting x = −3 gives y = 3, so the vertex is (−3, 3), choice B.

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