Write the vertex form for x^2 + 6x + 2. * write your answer as y = () ^2

The best and correct answer to this question is y = (x+3) ^2-7

y = (x + 3) ² - 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a (x - h) ² + k

To obtain this form use the method of completing the square

Given

y = x² + 6x + 2

add/subtract (half the coefficient of the x - term) ² to x² + 6x

y = x² + 2 (3) x + 9 - 9 + 2

= (x + 3) ² - 7