Solve the Problem $\frac { x ^ { 2 } } { 5 } + \frac { y ^ { 2 } } { 11 } = 1$

question 258

Multiple Choice

Solve the problem.
-The ellipse $\frac { x ^ { 2 } } { 5 } + \frac { y ^ { 2 } } { 11 } = 1$ is shifted down 6 units and right 4 units. Find an equation for the new ellipse and find the new vertices.

• A) \(\frac { ( x + 4 ) ^ { 2 } } { 5 } + \frac { ( y - 6 ) ^ { 2 } } { 11 } = 1\); vertices: \(( 4 , - 6 \pm \sqrt { 11 } )\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 5 } + \frac { ( y + 6 ) ^ { 2 } } { 11 } = 1\); vertices: \(( 4 \pm \sqrt { 5 } , - 6 )\)
• C) \(\frac { ( x - 4 ) ^ { 2 } } { 5 } + \frac { ( y + 6 ) ^ { 2 } } { 11 } = 1\); vertices: \(( 4 , - 6 \pm \sqrt { 11 } )\)
• D) \(\frac { ( x - 6 ) ^ { 2 } } { 5 } + \frac { ( y + 4 ) ^ { 2 } } { 11 } = 1\); vertices: \(( 4 \pm \sqrt { 5 } , - 6 )\)

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