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

question 236

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Asymptotes $y = \frac { 8 } { 5 } x , y = - \frac { 8 } { 5 } x ;$ one vertex is $( 0,16 )$

• A) \(\frac { y ^ { 2 } } { 256 } - \frac { x ^ { 2 } } { 25 } = 1\)
• B) \(\frac { y ^ { 2 } } { 256 } - \frac { x ^ { 2 } } { 100 } = 1\)
• C) \(\frac { x ^ { 2 } } { 256 } - \frac { y ^ { 2 } } { 100 } = 1\)
• D) \(\frac { y ^ { 2 } } { 64 } - \frac { x ^ { 2 } } { 100 } = 1\)

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