Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?

Factor –3 from the x² and x terms: y = –3(x² + 4x) – 2. Complete the square using half of 4, which is 2: x² + 4x = (x + 2)² – 4. Substituting gives y = –3(x + 2)² + 12 – 2 = –3(x + 2)² + 10, so the vertex form is choice A.

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