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: 14


Hyperbola shifted 2 units left and 3 units up

Work Step by Step

$\frac{(x+2)^2}{4}-\frac{(y-3)^2}{9}=1$ The first aspect to notice is both the x term and y term are squared. The second aspect to notice is the y term is negative and the x term is positive and both are divided by unequal numbers (4 and 9). This means the conic is a hyperbola. The $(x+2)$ means that the center is shifted two units left (along the x-axis). The $(y-3)$ means that the center is shifted three units up (the y-axis).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.