Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.4 - Translations of Conics - 4.4 Exercises - Page 347: 9


Hyperbola shifted 3 units down and 1 unit right

Work Step by Step

This conic is a hyperbola. Notice from the graph that the center of the hyperbola is shifted 1 unit right and 3 units down. This can be verified from the equation: $\frac{(y+3)^2}{4}-(x-1)^2=1$ The $(y+3)$ means that the center is shifted three units down (down the y-axis). The $(x-1)$ means that the center is shifted right one unit (across the x-axis).
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