Complete the square to transform the expression x2 + 4x + 2 into the form a (x - h) 2 + k.

Step-by-step explanation:

y = (x^2 + 4x) + 2

Take 1/2 of the linear term 4/2 = 2 and square that result. 2^2 = 4.

Put it after 4x

y = (x^2 + 4x + 4) + 2 Subtract what you put inside the brackets on the outside.

y = (x^2 + 4x + 4) + 2 - 4 Combine the right.

y = (x^2 + 4x + 4) - 2 Express the brackets as a square.

y = (x + 2) ^2 - 2

That's your answer

a = 1

h = 2

k = - 2