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Graph Hyperbolas Not Centered at the Origin
- (x+2)264(y3)2=64( x + 2 ) ^ { 2 } - 64 ( y - 3 ) ^ { 2 } = 64

Question 187

Multiple Choice

Graph Hyperbolas Not Centered at the Origin
- (x+2) 264(y3) 2=64( x + 2 ) ^ { 2 } - 64 ( y - 3 ) ^ { 2 } = 64


A) Center: (2,3) ( - 2,3 ) ; Vertices: (10,3) ( - 10,3 ) and (6,3) ( 6,3 ) ; Foci: (265,3) ( - 2 - \sqrt { 65 } , 3 ) and (2+65,3) ( - 2 + \sqrt { 65 } , 3 )
B) Center: (2,3) ( 2 , - 3 ) ; Vertices: (6,3) ( - 6 , - 3 ) and (10,3) ( 10 , - 3 ) ; Foci: (265,3) ( 2 - \sqrt { 65 } , 3 ) and (2+65,3) ( 2 + \sqrt { 65 } , 3 )
C) Center: (2,3) ( - 2,3 ) ; Vertices: (9,4) ( - 9,4 ) and (7,4) ( 7,4 ) ; Foci: (165,4) ( - 1 - \sqrt { 65 } , 4 ) and (1+65,4) ( - 1 + \sqrt { 65 } , 4 )
D) Center: (2,3) ( - 2,3 ) ; Vertices: (8,3) ( 8,3 ) and (8,3) ( - 8,3 ) ; Foci: (65,3) ( - \sqrt { 65 } , 3 ) and (65,3) ( \sqrt { 65 } , 3 )

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