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

Option a

Step-by-step explanation:

If we have a quadratic equation

Where a, b and are real coefficients of the equation, then to write the expression of the form:

we must use the square completion method.

In this problem we have the expression

First take common factor -3.

So

Second, divide b by 2. The result obtained square it

Now add and subtract from the right side of the equation the result obtained

Write the expression of the form

simplify

So

The answer is option a