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

question 35

Multiple Choice

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) \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1\)

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