Identify the Vertices and Asymptotes of the Hyperbola $x ^ { 2 } - y ^ { 2 } = 36$

question 75

Multiple Choice

Identify the vertices and asymptotes of the hyperbola. $x ^ { 2 } - y ^ { 2 } = 36$

• A)vertices: \(( 6 , - 6 ) , ( 6,6 )\) asymptotes: \(y = - 6 x , y = \frac { x } { 6 }\)
• B)vertices: \(( - 36,0 ) , ( 36,0 )\) asymptotes: \(y = - x , y = x\)
• C)vertices: \(( 0 , - 6 ) , ( 0,6 )\) asymptotes: \(y = - 6 x , y = \frac { x } { 6 }\)
• D)vertices: \(( - 6,0 ) , ( 6,0 )\) asymptotes: \(y = - x , y = x\)
• E)vertices: \(( 0 , - 6 ) , ( 0,6 )\) asymptotes: \(y = - x , y = x\)

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