### Home > A2C > Chapter 8 > Lesson 8.1.3 > Problem 8-42

8-42.

Factor out the 3 and separate it from the constant.

Complete the square.

Add the value that completes the square inside the parentheses

and subtract it outside.

(Why is the value subtracted 3 not 1?)

*y* = 3*x*^{2} + 6*x* + 1*y* = 3(*x*^{2} + 2*x*) + 1

*y* = 3(*x*^{2} + 2*x* + 1) + 1 − 3

*y* = 3(*x* + 1)^{2} − 2