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

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

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.