Graph the Hyperbola $\frac { y ^ { 2 } } { 144 } - \frac { x ^ { 2 } } { 25 } = 1$

question 7

Multiple Choice

Graph the hyperbola. Identify the foci and write the equations for the asymptotes.
- $\frac { y ^ { 2 } } { 144 } - \frac { x ^ { 2 } } { 25 } = 1$

• A) foci: \(( 0 , - 12 ) , ( 0,12 )\); asymptotes: \(y = - \frac { 5 } { 12 } x , y = \frac { 5 } { 12 } x\)
• B) foci: \(( 0 , - 12 ) , ( 0,12 )\); asymptotes: \(y = - \frac { 5 } { 12 } x , y = \frac { 5 } { 12 } x\)
• C) foci: \(( 0 , - 13 ) , ( 0,13 )\); asymptotes: \(y = - \frac { 12 } { 5 } x , y = \frac { 12 } { 5 } x\)
• D) foci: \(( 0 , - 13 ) , ( 0,13 )\); asymptotes: \(y = - \frac { 12 } { 5 } x , y = \frac { 12 } { 5 } x\)

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