Find an Equation of the Hyperbola with Vertices $( 0 , \pm 6 )$

question 34

Multiple Choice

Find an equation of the hyperbola with vertices $( 0 , \pm 6 )$ and asymptotes $y = \pm \frac { x } { 3 }$ .

• A) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 324 } = 1\)
• B) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 9 } = 1\)
• C) \(\frac { y ^ { 2 } } { 324 } - \frac { x ^ { 2 } } { 36 } = 1\)
• D) \(\frac { x ^ { 2 } } { 6 } - \frac { y ^ { 2 } } { 9 } = 1\)
• E) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 36 } = 1\)

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