Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.1 - The Ellipse - Exercise Set - Page 967: 68

Answer

See graph.

Work Step by Step

Step 1. We can identify the domain and range as: Domain $x\in[-1,1]$, Range $y\in[-2,0]$ Step 2. The equation can be rewritten as $y^2=4-4x^2$ or $\frac{x^2}{1}+\frac{y^2}{4}=1$ Step 3. We can graph the semiellipse as shown in the figure.
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