Solve the Problem $\frac { x ^ { 2 } } { 5 } - \frac { y ^ { 2 } } { 16 } = 1$

question 333

Multiple Choice

Solve the problem.
-The hyperbola $\frac { x ^ { 2 } } { 5 } - \frac { y ^ { 2 } } { 16 } = 1$ is shifted down 8 units and right 2 units. Find an equation for the new hyperbola and find the new center.

• A) \(\frac { ( x + 2 ) ^ { 2 } } { 5 } - \frac { ( y - 8 ) ^ { 2 } } { 11 } = 1\); center: \(( 2 , - 8 )\)
• B) \(\frac { ( x - 8 ) ^ { 2 } } { 5 } + \frac { ( y + 2 ) ^ { 2 } } { 11 } = 1 ;\) center: \(( - 8,2 )\)
• C) \(\frac { ( x - 2 ) ^ { 2 } } { 5 } - \frac { ( y + 8 ) ^ { 2 } } { 16 } = 1\); center: \(( 2 , - 8 )\)
• D) \(\frac { ( x + 8 ) ^ { 2 } } { 5 } - \frac { ( y - 2 ) ^ { 2 } } { 11 } = 1\); center: \(( 8 , - 2 )\)

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