First Rewrite the Quadratic Function in Standard Form by Completing $$f ( x ) = - x ^ { 2 } + 17 x - 72$$

question 133

Multiple Choice

First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.
- $$f ( x ) = - x ^ { 2 } + 17 x - 72$$

• A) \(x\)-intercepts: 8 and \(- 9 ; y\)-intercept: 17
• B) \(x\)-intercepts: \(- 8\) and \(- 9 ; y\)-intercept: 72
• C) \(x\)-intercepts: 8 and \(9 ; y\)-intercept: \(- 72\)
• D) No x-intercepts; y-intercept: \(- 72\)

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Definitions:

Quantity Demanded

The total amount of a good or service that consumers are willing and able to purchase at a given price level within a specified time period.

Economic Theory

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Inelastic

A term describing a situation where the demand or supply for a good or service is relatively unresponsive to changes in price.

Elastic

Describes a situation in which the demand or supply of a product is sensitive to changes in price, meaning a small change in price leads to a large change in the quantity demanded or supplied.