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Identify the Vertices and Asymptotes of the Hyperbola y2x2=4y ^ { 2 } - x ^ { 2 } = 4

Question 80

Multiple Choice

Identify the vertices and asymptotes of the hyperbola. y2x2=4y ^ { 2 } - x ^ { 2 } = 4


A) vertices: (0,2) ,(0,2) ( 0 , - 2 ) , ( 0,2 ) asymptotes: y=x,y=xy = - x , y = x
B) vertices: (4,0) ,(4,0) ( - 4,0 ) , ( 4,0 ) asymptotes: y=x,y=xy = - x , y = x
C) vertices: (2,0) ,(2,0) ( - 2,0 ) , ( 2,0 ) asymptotes: y=x,y=xy = - x , y = x
D) vertices: (2,2) ,(2,2) ( - 2,2 ) , ( 2,2 ) asymptotes: y=2x,y=x2y = - 2 x , y = \frac { x } { 2 }
E) vertices: (0,2) ,(0,2) ( 0 , - 2 ) , ( 0,2 ) asymptotes: y=2x,y=x2y = - 2 x , y = \frac { x } { 2 }

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