Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 10 - Section 10.2 - The Ellipse - Exercise Set - Page 779: 59


See below.

Work Step by Step

$f(x)=y=\pm\sqrt{4-x^2}\\y^2=4-x^2\\x^2+y^2=4\\\frac{x^2}{2^2}+\frac{y^2}{2^2}=1\\\frac{x^2}{4}+\frac{y^2}{4}=1$ This is the standard form of an ellipse, thus the original equation also defines an ellipse.
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