Find an Equation in Standard Form for the Hyperbola That $( 0 , \pm 8 )$

question 23

Multiple Choice

Find an equation in standard form for the hyperbola that satisfies the given conditions.
-Vertices at $( 0 , \pm 8 )$ , asymptotes at $y = \pm \frac { 2 } { 5 } x$

• A) \(\frac { y ^ { 2 } } { 64 } - \frac { x ^ { 2 } } { 100 } = 1\)
• B) \(\frac { y ^ { 2 } } { 64 } - \frac { x ^ { 2 } } { 400 } = 1\)
• C) \(\frac { y ^ { 2 } } { 400 } - \frac { x ^ { 2 } } { 64 } = 1\)
• D) \(\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 16 } = 1\)

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