Question

complete the square to transform the expression x^2+4x+2 into the form a(x-h)^2+k

Answer 1

Equation  $x^2+4x+2$ is converted to  $1(x-(-2))^2-2$

Step-by-step explanation:

We need to complete the square to transform the expression x^2+4x+2 into the form a(x-h)^2+k . Let's do this :

We have , following equation to convert as :

⇒ $x^2+4x+2$

⇒ $(x+2)^2-2$

⇒ $1(x+2)^2-2$

⇒ $1(x+2)^2-2$

⇒ $1(x-(-2))^2-2$

Comparing this to equation  a(x-h)^2+k we get :

$a=1\\h=-2\\k=-2$

Therefore , Equation  $x^2+4x+2$ is converted to  $1(x-(-2))^2-2$.