Question

Complete the Square y= 3x^2+12x+20

Answer 1

Answer:

$y = 3({x + 2)}^{2} + 8$

Step-by-step explanation:

The given function is

$y = 3 {x}^{2} + 12x + 20$

Factor

$y = 3({x}^{2} + 4x )+ 20$

Create a perfect square trinomial

$y = 3({x}^{2} + 4x + 4 ) - 3 \times 4+ 20$

Factor the the perfect square

$y = 3({x + 2)}^{2} - 12+ 20$

The vertex form is:

$y = 3({x + 2)}^{2} + 8$