Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 11 - Section 11.2 - Ellipses - 11.2 Exercises - Page 797: 7

Answer

I

Work Step by Step

Let's rewrite this. When we do so and divide both sides by 4 we get $x^2+y^2/4=1$ So we notice immediately that the major axis will be on the y-axis since the number under $x^2$ is less than that of $y^2$. Also since the intercepts will be the square roots of the numbers under the radicals, the x intercept are +1,-1 and the y intercepts are +2,-2. These qualities match graph 1.
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