Write an Equation for the Hyperbola $( 0 , \pm 6 )$

question 20

Multiple Choice

Write an equation for the hyperbola.
-vertices at $( 0 , \pm 6 )$ , asymptotes at $y = \pm \frac { 3 } { 5 } x$

• A) \(\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 9 } = 1\)
• B) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 25 } = 1\)
• C) \(\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 36 } = 1\)
• D) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 100 } = 1\)

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