Write the Standard Form of the Equation of the Hyperbola $( - 5 , - 1 ) , ( - 5 , - 5 )$

question 24

Multiple Choice

Write the standard form of the equation of the hyperbola subject to the given conditions.
-Vertices: $( - 5 , - 1 ) , ( - 5 , - 5 )$ ; Foci $( - 5 , - 3 + \sqrt { 15 } ) , ( - 5 , - 3 - \sqrt { 15 } )$

• A) \(\frac { ( y - 3 ) ^ { 2 } } { 4 } - \frac { ( x - 5 ) ^ { 2 } } { 11 } = 1\)
• B) \(\frac { ( y + 3 ) ^ { 2 } } { 4 } - \frac { ( x + 5 ) ^ { 2 } } { 11 } = 1\)
• C) \(\frac { ( x + 3 ) ^ { 2 } } { 4 } - \frac { ( y + 5 ) ^ { 2 } } { 11 } = 1\)
• D) \(\frac { ( x + 5 ) ^ { 2 } } { 11 } - \frac { ( y + 3 ) ^ { 2 } } { 4 } = 1\)

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