Which equation is y = –3x2 – 12x – 2 rewritten in vertex form?
y = –3(x + 2)2 + 10
y = –3(x – 2)2 + 10
y = –3(x + 2)2 – 14
y = –3(x – 2)2 – 2

We are given the equation  y = –3x2 – 12x – 2, equation of a parabola, and is asked in the problem to transform the equation into its vertex formula form. to do this, we have to perform completing of the squares.

 y = –3x2 – 12x – 2
1/3(y + 2) =- (x +2)^2
1/3(y + 2)=- (x +2)^2 +4
1/3 y +2/3 = - (x +2)^2 +4
 1/3 y  = - (x +2)^2 +10/3
y = -3(x +2)^2 + 10
answer is a.