Find the Center, Foci, and Asymptotes of the Hyperbola $$\frac { ( x + 5 ) ^ { 2 } } { 256 } - \frac { ( y + 1 ) ^ { 2 } } { 144 } = 1$$

question 178

Multiple Choice

Find the center, foci, and asymptotes of the hyperbola.
- $$\frac { ( x + 5 ) ^ { 2 } } { 256 } - \frac { ( y + 1 ) ^ { 2 } } { 144 } = 1$$

• A) C: \(( - 5 , - 1 ) ; F : ( - 17 , - 1 ) , ( 7 , - 1 ) ; A : y = \frac { 9 } { 16 } x + \frac { 19 } { 64 } , y = - \frac { 9 } { 16 } x + \frac { 19 } { 64 }\)
• B) C: \(( - 5 , - 1 ) ; F : ( - 1 , - 25 ) , ( - 1,15 ) ; A : y = \frac { 4 } { 3 } x - \frac { 11 } { 3 } , y = - \frac { 4 } { 3 } x + \frac { 19 } { 3 }\)
• C) C: \(( - 5 , - 1 ) ; F : ( - 1 , - 17 ) , ( - 1,7 ) ; A : y = \frac { 9 } { 16 } x - \frac { 11 } { 64 } , y = - \frac { 9 } { 16 } x + \frac { 19 } { 64 }\)
• D) C: \(( - 5 , - 1 ) ; F : ( - 25 , - 1 ) , ( 15 , - 1 ) ; A : y = \frac { 3 } { 4 } x + \frac { 11 } { 4 } , y = - \frac { 3 } { 4 } x - \frac { 19 } { 4 }\)

---

Definitions:

Residential Integration

The degree to which individuals of different racial, ethnic, or socioeconomic backgrounds live together in the same neighborhoods.

Minority Group

Refers to a category of people distinguished by physical or cultural traits, who are socially disadvantaged.

Socially Disadvantaged

Refers to individuals or groups that experience inequalities in society due to various factors such as economic status, education, race, or disability.

Ethnic Group

A group of people forming a population who are united by the same cultural heritage or ancestry.