Question

Complete the square to transform the expression x^2+4x 2 into the form a(x − h)2 + k.

Answer 1

Answer:

$(x+2)^2-2$

Step-by-step explanation:

we have the expression

$x^2+4x+2$

Convert to vertex form

$a(x-h)^2+k$

where

a is the leading coefficient

(h,k) is the vertex

Complete the square

$(x^2+4x+2^2)+2-2^2$

$(x^2+4x+2^2)-2$

Rewrite as perfect squares

$(x+2)^2-2$

so

The coefficient a =1

The vertex is the point (-2,-2)