Find the Standard Form of the Equation of the Hyperbola $( 0 , \pm 4 )$

question 20

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics.
vertices: $( 0 , \pm 4 )$ foci: $( 0 , \pm 8 )$

• A) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 64 } = 1\)
• B) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 48 } = 1\)
• C) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 48 } = 1\)
• D) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 48 } = 64\)
• E) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 48 } = 64\)

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