College Algebra (10th Edition)

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

Chapter 7 - Section 7.3 - The Ellipse - 7.3 Assess Your Understanding: 3

Answer

$$ \\ (2,0) \ \text{and} \ (-2, 0)$$ $$\\(0, 4) \ \text{and} \ (0, -4) $$

Work Step by Step

$$y^2=16-4x^2$$ Set y=0 to find the x intercept: $$16-4x^2=0 \\x^2=4 \\x= \pm 2 \\ (2,0) \\ \text{and} \\ (-2, 0)$$ Set x=0 to find the y intercept: $$ y^2=16 \\y= \pm 4 \\(0, 4) \ \text{and} \ (0, -4) $$
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