College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 7 - Section 7.4 - The Hyperbola - 7.4 Assess Your Understanding - Page 537: 14

Answer

See below.

Work Step by Step

The equation of the hyperbola has the form $\frac{(y-h)^2}{a^2}-\frac{(x-k)^2}{b^2}=1$, the center is at $(h,k)$. Hence here the asymptotes are at $y-k=\pm\frac{a}{b}(x-h)\\y=\pm\frac{4}{9}x$
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