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

question 488

Multiple Choice

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

• A) C: \(( 1,1 ) ; \mathrm { F } : ( - 2,1 ) , ( 4,1 ) ; \mathrm { A } : \mathrm { y } = \frac { 16 } { 9 } \mathrm { x } - \frac { 7 } { 9 } , \mathrm { y } = - \frac { 16 } { 9 } \mathrm { x } - \frac { 7 } { 9 }\)
• B) C: \(( 1,1 ) ; F : ( 1 , - 4 ) , ( 1,6 ) ; A : y = \frac { 4 } { 3 } x + \frac { 1 } { 3 } , y = - \frac { 4 } { 3 } x - \frac { 7 } { 3 }\)
• C) \(\mathrm { C } : ( 1,1 ) ; \mathrm { F } : ( 1 , - 2 ) , ( 1,4 ) ; \mathrm { A } : \mathrm { y } = \frac { 16 } { 9 } \mathrm { x } + \frac { 1 } { 9 } , \mathrm { y } = - \frac { 16 } { 9 } \mathrm { x } - \frac { 7 } { 9 }\)
• D) C: \(( 1,1 ) ; F : ( 1,6 ) , ( 1 , - 4 ) ; \mathrm { A } : \mathrm { y } = \frac { 4 } { 3 } \mathrm { x } - \frac { 1 } { 3 } , \mathrm { y } = - \frac { 4 } { 3 } \mathrm { x } + \frac { 7 } { 3 }\)

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Sales Volume

The amount of goods or services a company sells over a certain time frame.

Variable Costs

Costs that vary directly with the level of output or production, such as materials and labor directly involved in manufacturing.

Step-Variable Cost

Costs that remain constant for a set level of activity but jump to a higher amount once certain thresholds are exceeded.

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Costs that vary directly and proportionally with the level of production output, without any fixed component.