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: 13


Ellipse shifted 4 units left and 2 units down.

Work Step by Step

$\frac{(x+4)^2}{9}+\frac{(y+2)^2}{16}=1$ The first aspect to notice is both the x term and y term are squared. The second aspect to notice is the two squared terms are both positive but both are divided by unequal numbers (9 and 16). This means the conic is an ellipse. The $(x+4)$ means that the center is shifted four units left (along the x-axis). The $(y+2)$ means that the center is shifted two units down (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.