Find the Equation of the Hyperbola with Center $( 1,3 ) , a = 2$

question 30

Multiple Choice

Find the equation of the hyperbola with center $( 1,3 ) , a = 2$ and $b = 4$ . Transverse axis is horizontal.

• A)
• \[\frac { ( x - 1 ) ^ { 2 } } { 4 } - \frac { ( y - 3 ) ^ { 2 } } { 16 } = 1\]
• B)
• \[\frac { ( x - 2 ) ^ { 2 } } { 2 } - \frac { ( y - 3 ) ^ { 2 } } { 16 } = 1\]
• C)
• \[\frac { ( x + 1 ) ^ { 2 } } { 4 } - \frac { ( y + 3 ) ^ { 2 } } { 16 } = 1\]
• D)
• \[\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 3 ) ^ { 2 } } { 16 } = 1\]

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Definitions:

Feasible Levels

Feasible levels indicate the range within which objectives or operations can be realistically achieved or maintained.

Opportunity Cost

The price paid by not choosing the second-best option available during a decision-making process.

Economy

The mechanism through which a society manufactures, allocates, and utilizes goods and services.

Opportunity Cost

The foregone benefit that could have been enjoyed if an alternative choice had been made.