Find an Equation for the Hyperbola Described $( 0 , \pm 8 ) ;$

question 174

Multiple Choice

Find an equation for the hyperbola described.
-Vertices at $( 0 , \pm 8 ) ;$ asymptotes at $y = \pm \frac { 4 } { 3 } x$

• A) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 16 } = 1\)
• B) \(\frac { y ^ { 2 } } { 64 } - \frac { x ^ { 2 } } { 36 } = 1\)
• C) \(\frac { y ^ { 2 } } { 64 } - \frac { x ^ { 2 } } { 9 } = 1\)
• D) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 64 } = 1\)

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