Determine the Two Equations Necessary to Graph the Horizontal Parabola $$x = 8 y ^ { 2 } - 5 y + 7$$

question 54

Multiple Choice

Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.
- $$x = 8 y ^ { 2 } - 5 y + 7$$

• A) \(\mathrm { y } = \frac { 5 - \sqrt { 32 \mathrm { x } - 199 } } { 16 }\) and \(\mathrm { y } = \frac { 5 + \sqrt { 32 \mathrm { x } - 199 } } { 16 }\)
• B) \(y = \sqrt { \frac { x - 7 } { - 5 } }\) and \(y = - \sqrt { \frac { x - 7 } { - 5 } }\)
• C) \(\mathrm { y } = \frac { 5 - \sqrt { 32 \mathrm { x } - 199 } } { 8 }\) and \(\mathrm { y } = - \frac { 5 + \sqrt { 32 \mathrm { x } - 199 } } { 8 }\)
• D) \(y = \frac { \sqrt { x - 7 } } { - 5 }\) and \(y = - \frac { \sqrt { x - 7 } } { - 5 }\)

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Definitions:

Price of Capital

The cost of borrowing money or the return that is required for an investment in equipment or buildings.

Total Cost

The aggregate expenditure incurred by a firm to produce a certain level of output, including both fixed and variable costs.

Price of Labor

The wage rate or compensation paid to workers for their labor, often determined by market forces, skill levels, and industry demand.

Isocost Line

An isocost line is a graphical representation in economics showing all possible combinations of inputs that result in the same cost of production.