Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.9 - Distance and Midpoint Formulas; Circles - Exercise Set - Page 280: 46


$C(-1,4), r=5$. See graph. Domain $[-6,4]$ and Range $[-1,9]$ .

Work Step by Step

Step 1. Given the equation $(x+1)^2+(y-4)^2=25$, comparing with the standard form for a circle, we can identify the center and radius of the circle as $C(-1,4), r=5$. Step 2. See graph for the equation as shown in the figure. Step 3. Based on the graph, we can identify: Domain $[-6,4]$ and Range $[-1,9]$.
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