Convert the Equation to the Standard Form for a Hyperbola $$x ^ { 2 } - y ^ { 2 } + 6 x - 2 y + 7 = 0$$

question 112

Multiple Choice

Convert the equation to the standard form for a hyperbola by completing the square on x and y.
- $$x ^ { 2 } - y ^ { 2 } + 6 x - 2 y + 7 = 0$$

• A) \(( x + 3 ) ^ { 2 } - ( y + 1 ) ^ { 2 } = 1\)
• B) \(( y + 3 ) ^ { 2 } - ( x + 1 ) ^ { 2 } = 1\)
• C) \(( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 1\)
• D) \(\frac { ( y + 3 ) ^ { 2 } } { 4 } - \frac { ( x + 1 ) ^ { 2 } } { 36 } = 1\)

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Definitions:

Common Stock

A type of ownership in a corporation that entitles shareholders to vote on corporate matters and receive a share of the company's profits through dividends.

Fair Value

A measure of the price at which an asset would change hands between willing parties, neither being under compulsion to buy or sell.