### Home > CCA2 > Chapter 10 > Lesson 10.3.1 > Problem10-158

10-158.

Complete the square to change the following equations to graphing form. Then sketch the graph of each equation.

1. $f(x) = x^2 + 4x + 6$

$f(x) - 2 = x^2 + 4x + 6 - 2$

Now simplify the right side of the equation and factor.

1. $x^2 + 6x + y^2 - 8y = 0$

You will need to complete the square twice, once for $x$ and once for $y$.

$(x^2 + 6x + ?) + (y^2 - 8y + ?) = 0 + ? + ?$

will allow you to simplify the equation to

$(x + ?)^2 + (y - ?)^2 = ?$

Don't forget to graph each equation!