Sketch the graph of the following ellipse. Plot the coordinates of the vertices and foci, and find the lengths of the major and minor axes. Use a graphing utility to check your work. XN 2 y + 49 36 What are the vertices of the ellipse?

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 25E
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O A.
OC.
12
Ay
IND
X
X
G
OB.
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G -12
12-
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Transcribed Image Text:O A. OC. 12 Ay IND X X G OB. D. G -12 12- 12 X 12 X
Sketch the graph of the following ellipse. Plot
the coordinates of the vertices and foci, and
find the lengths of the major and minor axes.
Use a graphing utility to check your work.
+
49 36
= 1
What are the vertices of the ellipse?
(Type an ordered pair. Type an exact answer,
using radicals as needed. Use a comma to
separate answers as needed.)
What are the foci of the ellipse?
(Type an ordered pair. Type an exact answer,
using radicals as needed. Use a comma to
separate answers as needed.)
What is the length of the major axis?
units
(Simplify your answer. Type an integer or
a decimal.)
What is the length of the minor axis?
units
(Simplify your answer. Type an integer or
a decimal.)
Choose the correct graph to the right.
Transcribed Image Text:Sketch the graph of the following ellipse. Plot the coordinates of the vertices and foci, and find the lengths of the major and minor axes. Use a graphing utility to check your work. + 49 36 = 1 What are the vertices of the ellipse? (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) What are the foci of the ellipse? (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.) What is the length of the major axis? units (Simplify your answer. Type an integer or a decimal.) What is the length of the minor axis? units (Simplify your answer. Type an integer or a decimal.) Choose the correct graph to the right.
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