Write the Standard Form of the Equation of the Hyperbola $( 0 , - 3 ) , ( 0,3 )$

question 68

Multiple Choice

Write the standard form of the equation of the hyperbola centered at the origin. Vertices: $( 0 , - 3 ) , ( 0,3 )$ Asymptotes: $y = \frac { 1 } { 4 } x , y = - \frac { 1 } { 4 } x$

• A) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 9 } = 1\)
• B) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 9 / 16 } = 1\)
• C) \(( 0,10 ) \left( \frac { 3 } { 2 } , - \frac { 31 } { 4 } \right)\)
• D) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 144 } = 1\)
• E) \(\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 144 } = 1\)

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