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: \(( 4 \pm \sqrt { 5 } , - 6 )\)

---

Definitions:

Credibility

The quality of being trusted and believed in, often through a reputation for integrity and reliability.

Take Action

To initiate steps or measures to achieve a goal or resolve a problem.

Three-Step Writing Process

A structured approach to writing that consists of planning, writing, and completing to efficiently create documents.

Speech Delivery

The method or style in which a speech is expressed to an audience, including tone, pace, volume, and body language.