Give Two Parametric Representations for the Equation of the Parabola $$y = x ^ { 2 } + 6 x + 11$$

question 259

Multiple Choice

Give two parametric representations for the equation of the parabola.
- $$y = x ^ { 2 } + 6 x + 11$$

• A) \(x = t , y = t ^ { 2 } + 6 t + 11\) for \(t\) in \(( - \infty , \infty ) ; x = t - 3 , y = t ^ { 2 } + 2\) for \(t\) in \(( - \infty , \infty )\)
• B) \(x = t , y = t ^ { 2 } - 6 t - 11\) for \(t\) in \(( - \infty , \infty ) ; x = t + 3 , y = t ^ { 2 } + 2\) for \(t\) in \(( - \infty , \infty )\)
• C) \(x = t , y = t ^ { 2 } + 6 t + 11\) for \(t\) in \(( - \infty , \infty ) ; x = t - 3 , y = t ^ { 2 } - 2\) for \(t\) in \(( - \infty , \infty )\)
• D) \(x = t , y = t ^ { 2 } + 6 t + 11\) for \(t\) in \(( - \infty , \infty ) ; x = t + 3 , y = t ^ { 2 } + 2\) for \(t\) in \(( - \infty , \infty )\)

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Definitions:

Demand

The quantity of a product or service that consumers are willing and able to purchase at various prices during a given period.

Bid-ask Spread

The gap between the maximum price a buyer is ready to offer (bid) and the minimum price a seller agrees to sell (ask) for an asset.

Market Maker

A firm or individual that actively quotes both a buy and sell price in a financial market, providing liquidity and facilitating trading.

Total Profit

The overall financial gain made by a business after subtracting all costs from the total revenue.