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

question 80

Multiple Choice

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

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

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