Find the Center, Foci, and Asymptotes of the Hyperbola $$\frac { ( x - 2 ) ^ { 2 } } { 16 } - \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1$$

question 193

Multiple Choice

Find the center, foci, and asymptotes of the hyperbola.
- $$\frac { ( x - 2 ) ^ { 2 } } { 16 } - \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1$$

• A) C: \(( 2,2 ) ; F : ( 2 , - 3 ) , ( 2,7 ) ; A : y = \frac { 4 } { 3 } x - \frac { 2 } { 3 } , y = - \frac { 4 } { 3 } x - \frac { 14 } { 3 }\)
• B) \(C : ( 2,2 ) ; F : ( - 1,2 ) , ( 5,2 ) ; A : y = \frac { 9 } { 16 } x - \frac { 7 } { 8 } , y = - \frac { 9 } { 16 } x - \frac { 7 } { 8 }\)
• C) \(C : ( 2,2 ) ; F : ( 2 , - 1 ) , ( 2,5 ) ; A : y = \frac { 9 } { 16 } x - \frac { 1 } { 8 } , y = - \frac { 9 } { 16 } x - \frac { 7 } { 8 }\)
• D) \(C : ( 2,2 ) ; F : ( - 3,2 ) , ( 7,2 ) ; A : y = \frac { 3 } { 4 } x + \frac { 1 } { 2 } , y = - \frac { 3 } { 4 } x + \frac { 7 } { 2 }\)

---

Definitions:

Dissolved

Dissolved, in a general context, means to have been disintegrated or dispersed into a liquid to form a solution, or to cease to exist as a distinct entity.

Nonprogrammed Decision

Decisions that are made in response to situations that are unique, are poorly defined and largely unstructured, and have important consequences for the organization.

Alternative Solutions

Different options or strategies that can be pursued to solve a problem or achieve a specific goal.

Condition Of Uncertainty

A situation where there is a lack of certain knowledge or predictability about future events, often discussed in decision-making contexts.