Find the Standard Form of the Equation of the Hyperbola $y = \pm 5 x$

question 18

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. focies: (±4,0) ,asymptotes: $y = \pm 5 x$

• A) \(\frac { x ^ { 2 } } { \frac { 1 } { 26 } } - \frac { y ^ { 2 } } { \frac { 1 } { 26 } } = 1\)
• B) \(\frac { x ^ { 2 } } { \frac { 8 } { 13 } } - \frac { y ^ { 2 } } { \frac { 200 } { 13 } } = 1\)
• C) \(\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 16 } = 1\)
• D) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 400 } = 1\)
• E) \(\frac { x ^ { 2 } } { \frac { 200 } { 13 } } - \frac { y ^ { 2 } } { \frac { 8 } { 13 } } = 1\)

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