Identify the Center and Vertices of the Hyperbola $x ^ { 2 } - 4 y ^ { 2 } + 40 y - 104 = 0$

question 45

Multiple Choice

Identify the center and vertices of the hyperbola. $x ^ { 2 } - 4 y ^ { 2 } + 40 y - 104 = 0$

• A)center: (0,5) vertices: \(( 0 , - 5 ) , ( 0,5 )\)
• B)center: (0,-5) vertices: \(( - 2 , - 5 ) , ( 2 , - 5 )\)
• C)center: \(( 0,5 )\) vertices: \(( - 2,5 ) , ( 2,5 )\)
• D)center: \(( 0 , - 5 )\) vertices: \(( - 6 , - 5 ) , ( 6 , - 5 )\)
• E)center: \(( 0 , - 5 )\) vertices: \(( 0 , - 8 ) , ( 0 , - 2 )\)

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