College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 7, Conic Sections - Chapter 7 Review - Exercises - Page 584: 42



Work Step by Step

The center of the hyperbola is at $(1,0)$ $$\frac{(x-1)^2}{a^2}-\frac{y^2}{b^2}=1$$ The x intercepts are 2 apart and thus 1 from the center. $$\frac{(x-1)^2}{1}-\frac{y^2}{b^2}=1$$ Since $y=x-1$ is the slant asymptote, $b=1$ as well. $$\frac{(x-1)^2}{1}-\frac{y^2}{1^2}=1$$
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