Question

Which equation represents y = x2 + 12x + 27 in vertex form?

Answer 1

Answer:

• y = (x + 6)² - 9

Step-by-step explanation:

Complete the square:

y = x² + 12x + 27

  = x² + 2*6*x + 6² - 6² + 27

  = (x + 6)² - 36 + 27

  = (x + 6)² - 9

Correct choice is A

Answer 2

Answer

$\bold{ (x+6)^2-9 }$ 

Full explanation:-

• $\bold{y=x^2+12x+27 }$ 

• $\bold{y=x^2+(6×2)x+27 }$ 

• $\bold{ x^2+2.6.x+(6)^2 -(6)^2+27 }$ 

• $\bold{(x+6)^{2}-36+27 }$ 

• $\bold{ (x+6)^2-9 }$ 

$\bold{ }$