Find the Standard Form of the Equation of the Hyperbola $\text { Vertices: } ( \pm 4,0 ) ; \text { asymptotes: } y = \pm 6 x$

question 23

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin. $\text { Vertices: } ( \pm 4,0 ) ; \text { asymptotes: } y = \pm 6 x$

• A) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 576 } = 1\)
• B) \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 576 } = 1\)
• C) \(\frac { y ^ { 2 } } { 576 } - \frac { x ^ { 2 } } { 16 } = 1\)
• D) \(\frac { y ^ { 2 } } { 16 } + \frac { x ^ { 2 } } { 576 } = 1\)
• E) \(\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 576 } = 1\)

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