y 7. 1. -9-8-7 -6 -5-4 -3-2-/ 1. 8. 6. .2 -4 -5 -7. -8 Write an equation for the ellipse graphed in standard form.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.2: The Ellipse
Problem 29E
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Question
7.
5-
2.
-9-8-7 6-5-4 -3 -2 -
/2 345 6 7 8 9
-2
-4
-5
-6
7.
-8-
Write an equation for the ellipse graphed in standard form.
Transcribed Image Text:7. 5- 2. -9-8-7 6-5-4 -3 -2 - /2 345 6 7 8 9 -2 -4 -5 -6 7. -8- Write an equation for the ellipse graphed in standard form.
Expert Solution
Step 1

Given: length of major axis is 2a=8a=4length of minor axis is 2b=4a=2end points from the graph of an ellipse (-5, 2) to (3,2)  and (-1,0) to (-1,4)Therefore, the equation of an ellipse is (x+1)216+(y-2)24=1

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