Rewrite the Quadratic Function in Standard Form by Completing the Square

question 123

Multiple Choice

Rewrite the quadratic function in standard form by completing the square.
- $$f ( x ) = 3 x ^ { 2 } - 4 x$$

• A) \(f ( x ) = 3 \left( x - \frac { 2 } { 3 } \right) ^ { 2 } - \frac { 4 } { 3 }\)
• B) \(f ( x ) = 3 \left( x - \frac { 2 } { 3 } \right) ^ { 2 } + \frac { 4 } { 9 }\)
• C) \(f ( x ) = 3 \left( x + \frac { 4 } { 3 } \right) ^ { 2 } + \frac { 16 } { 9 }\)
• D) \(f ( x ) = 3 \left( x + \frac { 4 } { 3 } \right) ^ { 2 } - \frac { 16 } { 9 }\)

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Definitions:

Annual Depreciation

The amount of an asset’s cost allocated each year over its useful life, reflecting its consumption, wear and tear, or obsolescence.

Useful Life

The estimated duration of time over which an asset is expected to be functional and contribute to a company's operations.

Revenue Expenditures

Short-term expenses incurred during normal business operations that are charged against revenue in the period they are incurred.

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Funds used by a company to acquire, upgrade, and maintain physical assets such as property, plants, buildings, technology, or equipment.