Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 10 - Cumulative Review - Page 634: 44

Answer

see graph

Work Step by Step

Dividing both sides by 36, then the standard form of the equation $ 4x^2+9y^2=36 $ is \begin{array}{l} \dfrac{x^2}{9}+\dfrac{y^2}{4}=1 .\end{array} This is the equation of the ellipse with the following properties: \begin{array}{l} \text{Center: }(0,0) ,\\\text{Major axis parallel to: }x-\text{axis} ,\\\text{$a$ = }3 ,\\\text{Vertices: }(-3,0), (3,0) ,\\\text{$b$ = }2 ,\\\text{Co-vertices: }(0,-2), (0,2) .\end{array} Using the properties above, the graph of the given equation is shown below.
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