Find the Standard Form of the Equation of the Hyperbola $( 0 , \pm 14 )$

question 435

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: $( 0 , \pm 14 )$ ; asymptotes: $y = \pm 7 x$

• A) \(\frac { x ^ { 2 } } { 196 } + \frac { y ^ { 2 } } { 4 } = 1\)
• B) \(\frac { y ^ { 2 } } { 196 } - \frac { x ^ { 2 } } { 4 } = 1\)
• C) \(\frac { y ^ { 2 } } { 4 } + \frac { x ^ { 2 } } { 196 } = 1\)
• D) \(\frac { 196 x ^ { 2 } } { 4 } - \frac { 4 y ^ { 2 } } { 196 } = 1\)
• E) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 196 } = 1\)

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