College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.4 - Circles - 2.4 Assess Your Understanding - Page 188: 64

Answer

The coordinates of the center have not been correctly determined. The radius is correct. The center has coordinates $(-3,2)$, not $(3,-2).$

Work Step by Step

The standard form of an equation of a circle with radius $r$ and center $(h,k)$ is $(x-h)^{2}+(y-k)^{2}=r^{2}$ The first parentheses contain a plus, so what they really contain is $x-h=x-(-3).$ The center has coordinates $(-3,2).$ The radius is correct.
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