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Find the Center, Foci, and Vertices of the Ellipse 16(x+2)2+9(y1)2=14416 ( \mathrm { x } + 2 ) ^ { 2 } + 9 ( \mathrm { y } - 1 ) ^ { 2 } = 144

Question 155

Multiple Choice

Find the center, foci, and vertices of the ellipse.
- 16(x+2) 2+9(y1) 2=14416 ( \mathrm { x } + 2 ) ^ { 2 } + 9 ( \mathrm { y } - 1 ) ^ { 2 } = 144


A) center at (1,1) ( - 1,1 )
foci at (1,17) ,(1,1+7) ( - 1,1 - \sqrt { 7 } ) , ( - 1,1 + \sqrt { 7 } )
vertices at (1,5) ,(1,3) ( - 1,5 ) , ( - 1 , - 3 )

B) center at (1,2) ( 1 , - 2 )
foci at (1,27) ,(1,2+7) ( 1 , - 2 - \sqrt { 7 } ) , ( 1 , - 2 + \sqrt { 7 } )
vertices at (1,5) ,(1,3) ( 1,5 ) , ( 1 , - 3 )

C) center at (2,1) ( 2,1 )
foci at (2,17) ,(2,1+7) ( 2,1 - \sqrt { 7 } ) , ( 2,1 + \sqrt { 7 } )
vertices at (2,5) ,(2,3) ( 2,5 ) , ( 2 , - 3 )

D) center at (2,1) ( - 2,1 )
foci at (2,17) ,(2,1+7) ( - 2,1 - \sqrt { 7 } ) , ( - 2,1 + \sqrt { 7 } )
vertices at (2,5) ,(2,3) ( - 2,5 ) , ( - 2 , - 3 )

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