Find the Vertex of the Graph of the Quadratic Function $$f ( x ) = - x ^ { 2 } + x - 8$$

question 66

Multiple Choice

Find the vertex of the graph of the quadratic function.
- $$f ( x ) = - x ^ { 2 } + x - 8$$

• A) \(\left( - \frac { 1 } { 2 } , - \frac { 35 } { 4 } \right)\)
• B) \(( - 1 , - 10 )\)
• C) \(( 1 , - 8 )\)
• D) \(\left( \frac { 1 } { 2 } , - \frac { 31 } { 4 } \right)\)

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Definitions:

Marginal Cost

The price of creating one more unit of a product or service.

Purely Competitive Market

A market structure with many buyers and sellers, where all firms sell identical products and no single buyer or seller can influence the market price.

Economic Profit

The discrepancy between a firm's gross income and its total expenses, factoring in both clear and unclear costs.

Profit-Maximizing Output

The level of production at which a firm achieves the highest possible profit, where marginal cost equals marginal revenue.