Write an Equation for the Hyperbola $( - 6,2 ) , ( - 6,14 ) ; e = \frac { 2 \sqrt { 13 } } { 6 }$

question 102

Multiple Choice

Write an equation for the hyperbola.
-vertices $( - 6,2 ) , ( - 6,14 ) ; e = \frac { 2 \sqrt { 13 } } { 6 }$

• A) \(\frac { ( y - 6 ) ^ { 2 } } { 36 } - \frac { ( x + 8 ) ^ { 2 } } { 16 } = 1\)
• B) \(\frac { ( \mathrm { y } - 6 ) ^ { 2 } } { 36 } - \frac { ( \mathrm { x } - 8 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( y + 6 ) ^ { 2 } } { 16 } - \frac { ( x - 8 ) ^ { 2 } } { 36 } = 1\)
• D) \(\frac { ( y - 8 ) ^ { 2 } } { 36 } - \frac { ( x + 6 ) ^ { 2 } } { 16 } = 1\)

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