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

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) $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 576 } = 1$