CPM Homework Help : CCA2 Problem 10-158

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Home > CCA2 > Chapter 10 > Lesson 10.3.1 > Problem 10-158

10-158.

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

$f(x) = x^2 + 4x + 6$
Step 1(a):
$f(x) - 2 = x^2 + 4x + 6 - 2$
Now simplify the right side of the equation and factor.

$x^2 + 6x + y^2 - 8y = 0$
Hint 1(b):
You will need to complete the square twice, once for $x$ and once for $y$ .
Hint 2(b):
$(x^2 + 6x + ?) + (y^2 - 8y + ?) = 0 + ? + ?$
will allow you to simplify the equation to
$(x + ?)^2 + (y - ?)^2 = ?$
Don't forget to graph each equation!

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