Solve the Problem $\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 3 } = 1$

question 92

Multiple Choice

Solve the problem.
-The ellipse $\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 3 } = 1$ is shifted up 5 units and left 5 units. Find an equation for the new ellipse and find the new vertices.

• A) \(\frac { ( x + 5 ) ^ { 2 } } { 7 } + \frac { ( y - 5 ) ^ { 2 } } { 3 } = 1\); vertices: \(( - 5 \pm \sqrt { 7 } , 5 )\)
• B) \(\frac { ( x + 5 ) ^ { 2 } } { 7 } + \frac { ( y - 5 ) ^ { 2 } } { 3 } = 1\); vertices: \(( - 5,5 \pm \sqrt { 3 } )\)
• C) \(\frac { ( x - 5 ) ^ { 2 } } { 7 } + \frac { ( y + 5 ) ^ { 2 } } { 3 } = 1\); vertices: \(( - 5 \pm \sqrt { 7 } , 5 )\).
• D) \(\frac { ( x + 5 ) ^ { 2 } } { 7 } + \frac { ( y - 5 ) ^ { 2 } } { 3 } = 1\); vertices: \(( - 5,5 \pm \sqrt { 3 } )\).