Write an Equation for the Hyperbola $x$ -Intercept 4 ; Center at Origin; Passing Through

Write an equation for the hyperbola.
- $x$ -intercept 4 ; center at origin; passing through $( 4 \sqrt { 5 } , 6 )$

A) $\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 16 } = 1$
B) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 36 } = 1$
C) $\frac { x ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 16 } = 1$
D) $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$

Correct Answer:

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