Precalculus (6th Edition) Blitzer

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

Chapter 9 - Section 9.2 - The Hyperbola - Exercise Set - Page 981: 3

Answer

$(0,\pm2)$, $(0,\pm\sqrt 5)$; graph (a) .

Work Step by Step

From the equation, we have $a=2, b=1, c=\sqrt {2^2+1^2}=\sqrt 5$ with a vertical transverse axis. Thus the vertices are at $(0,\pm2)$ and the foci are at $(0,\pm\sqrt 5)$. Only graph (a) fits the parameters.
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