Write the Equation of the Hyperbola in Standard Form $$4 y ^ { 2 } - 16 x ^ { 2 } + 40 y - 32 x + 20 = 0$$

question 98

Multiple Choice

Write the equation of the hyperbola in standard form. Identify the center and vertices.
- $$4 y ^ { 2 } - 16 x ^ { 2 } + 40 y - 32 x + 20 = 0$$

• A) \(\frac { ( y - 5 ) ^ { 2 } } { 16 } - \frac { ( x - 1 ) ^ { 2 } } { 4 } = 1\)
• center: \(( - 1 , - 5 )\); vertices: \(( - 1 , - 9 ) , ( - 1 , - 1 )\)
• B) \(\frac { ( y + 5 ) ^ { 2 } } { 16 } - \frac { ( x + 1 ) ^ { 2 } } { 4 } = 1\)
• center: \(( - 1 , - 5 )\); vertices: \(( - 1 , - 9 ) , ( - 1 , - 1 )\)
• C) \(\frac { ( y + 5 ) ^ { 2 } } { 16 } - \frac { ( x + 1 ) ^ { 2 } } { 4 } = 1\)
• center: \(( 1,5 )\); vertices: \(( 1,1 ) , ( 1,9 )\)
• D) \(\frac { ( y - 5 ) ^ { 2 } } { 16 } - \frac { ( x - 1 ) ^ { 2 } } { 4 } = 1\)
• center: \(( 1,5 )\); vertices: \(( 1,1 ) , ( 1,9 )\)

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