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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Definitions:

Ableism

Refers to the set of ideas and attitudes that define “normal” abilities of people, and that allocates inferior status and value to individuals who have developmental, emotional, physical, or psychiatric disabilities.

Depression

A common but serious mood disorder that affects how you feel, think, and handle daily activities, characterized by persistent sadness and a lack of interest or pleasure in previously rewarding or enjoyable activities.

Promotion

The act of elevating someone to a higher position or rank within an organization or the efforts made to increase awareness or sales of a product.

Stereotyping

The act of assigning a fixed set of characteristics to a group of people, regardless of the individual differences and nuances among them.