Question

Complete the Square

y= 3x^2+12x+20

Answer 1

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

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 * 4+ 20`

Factor the the perfect square

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

The vertex form is:

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