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Find the Center, Foci, and Vertices of the Ellipse (x2)236+(y+3)29=1\frac { ( x - 2 ) ^ { 2 } } { 36 } + \frac { ( y + 3 ) ^ { 2 } } { 9 } = 1

Question 21

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- (x2) 236+(y+3) 29=1\frac { ( x - 2 ) ^ { 2 } } { 36 } + \frac { ( y + 3 ) ^ { 2 } } { 9 } = 1


A) center at (3,2) ( - 3,2 )
foci at (3+33,2) ,(333,2) ( - 3 + 3 \sqrt { 3 } , 2 ) , ( - 3 - 3 \sqrt { 3 } , 2 )
vertices at (4,3) ,(8,3) ( - 4 , - 3 ) , ( 8 , - 3 )
B) center at (2,3) ( 2 , - 3 )
foci at (2+33,2) ,(233,2) ( 2 + 3 \sqrt { 3 } , 2 ) , ( 2 - 3 \sqrt { 3 } , 2 )
vertices at (6,3) ,(6,3) ( 6 , - 3 ) , ( - 6 , - 3 )
C) center at (2,3) ( 2 , - 3 )
foci at (33,3) ,(33,3) ( - 3 \sqrt { 3 } , - 3 ) , ( 3 \sqrt { 3 } , - 3 )
vertices at (6,3) ,(6,3) ( 6 , - 3 ) , ( - 6 , - 3 )
D) center at (2,3) ( 2 , - 3 )
foci at (2+33,3) ,(233,3) ( 2 + 3 \sqrt { 3 } , - 3 ) , ( 2 - 3 \sqrt { 3 } , - 3 )
vertices at (4,3) ,(8,3) ( - 4 , - 3 ) , ( 8 , - 3 )

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