Circles - Algebra Worksheet Page 3

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Algebra 2
4.1 Notes
Rewriting an Equation of a Circle to Graph the Circle
2
2
Learning Target C: Given the equation of a circle of the form ����
+ ����
+ ���� + ���� + �� = 0, I can
complete the square on both x and y to rewrite it in standard form and graph the circle.
Graph each circle after writing the equation in Standard Form.
2
2
A.
��
+ ��
− 10�� + 6�� + 30 = 0
Step 1: Rewrite the equation by grouping the x-terms and y-terms.
Step 2: Complete the square on x and y.
Step 3: Factor and simplify to write the equation in standard form.
Step 4: Graph the circle by identifying its center and radius.
2
2
2
2
B. 4��
+ 4��
+ 8�� − 16�� + 11 = 0
C. ��
+ ��
+ 4�� + 6�� + 4 = 0

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