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

The general equation of a quadratic is expressed as y = ax^2+bx+c. To convert the general equation to vertex form, we need to obtain this form:

(y- k)= a(x - h)^2

This could be done by using completing the square method.

y = –3x^2 – 12x – 2
y + 2 = –3(x^2 + 4x) 
y + 2 -12 = –3(x^2 + 4x + 4) 
y - 10 = -3(x+2)^2

Therefore, the answer is the first option.