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.