Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.6 Graphs of Basic Functions - 2.6 Exercises - Page 256: 22

Answer

Yes, center $(0,4)$, radius $5$.

Work Step by Step

Step 1. Given $x^2+y^2-8y-9=0$, we have $x^2+y^2-8y=9$ Step 2. Form perfect squares: $x^2+y^2-8y+16=9+16$, we have $x^2+(y-4)^2=5^2$ Step 3. The above equation forms a circle with center at $(0,4)$ and radius $r=5$.
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