Solve the Problem $\frac { y ^ { 2 } } { 144 } - \frac { x ^ { 2 } } { 256 } = 1$

question 74

Multiple Choice

Solve the problem.
-The hyperbola $\frac { y ^ { 2 } } { 144 } - \frac { x ^ { 2 } } { 256 } = 1$ is shifted horizontally and vertically to obtain the hyperbola $\frac { ( y - 2 ) ^ { 2 } } { 144 } - \frac { ( x - 3 ) ^ { 2 } } { 256 } = 1$ Find the asymptotes of the new hyperbola.

• A) \(y - 2 = \pm \frac { 9 } { 16 } ( x - 3 )\)
• B) \(y = \pm \frac { 3 } { 4 } x\)
• C) \(y - 2 = \pm \frac { 3 } { 4 } ( x - 3 )\)
• D) \(y = \pm \frac { 9 } { 16 } x\)

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