Write the Standard Form of the Equation of the Hyperbola $y = - \frac { 3 } { 4 } x , y = \frac { 3 } { 4 } x$

question 39

Multiple Choice

Write the standard form of the equation of the hyperbola subject to the given conditions.
-Vertices: (0, -6) , (0, 6) ; Asymptotes: $y = - \frac { 3 } { 4 } x , y = \frac { 3 } { 4 } x$

• A) \(\frac { y ^ { 2 } } { 64 } - \frac { x ^ { 2 } } { 36 } = 1\)
• B) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 64 } = 1\)
• C) \(\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 64 } = 1\)
• D) \(\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 36 } = 1\)

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