Write an Equation for the Hyperbola $( - 6 , - 2 ) , ( - 6,16 )$

question 39

Multiple Choice

Write an equation for the hyperbola.
-vertices $( - 6 , - 2 ) , ( - 6,16 )$ ; eccentricity $\frac { \sqrt { 106 } } { 9 }$

• A) \(\frac { ( y - 6 ) ^ { 2 } } { 81 } - \frac { ( x + 7 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( y - 7 ) ^ { 2 } } { 81 } - \frac { ( x + 6 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( y - 6 ) ^ { 2 } } { 81 } - \frac { ( x - 7 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { ( y + 6 ) ^ { 2 } } { 25 } - \frac { ( x - 7 ) ^ { 2 } } { 81 } = 1\)

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