What is the vertex of the graph of y plus 2 x plus 3 is equal to negative open paren x plus 2 close paren squared plus 1 ?

Rewrite the equation as y = −(x + 2)² + 1 − 2x − 3, which simplifies to y = −x² − 6x − 6. For this quadratic, the vertex’s x-coordinate is −b/(2a) = −(−6)/(2·−1) = −3; substituting gives y = 3. The vertex is (−3, 3), choice D.

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