Find the Standard-Form Equation of the Hyperbola Centered at the Origin

question 39

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Foci at $( 0 , - 5 ) , ( 0,5 )$ ; asymptotes: $y = \frac { 4 } { 3 } x , y = - \frac { 4 } { 3 } x$

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

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