Rewrite the Quadratic Function in Standard Form by Completing the Square

question 104

Multiple Choice

Rewrite the quadratic function in standard form by completing the square.
- $$f ( x ) = x ^ { 2 } + 3 x + 1$$

• A) \(f ( x ) = \left( x + \frac { 3 } { 2 } \right) ^ { 2 } + \frac { 5 } { 4 }\)
• B) \(f ( x ) = ( x + 3 ) ^ { 3 } - 9\)
• C) \(f ( x ) = ( x - 3 ) ^ { 3 } - 9\)
• D) \(f ( x ) = \left( x + \frac { 3 } { 2 } \right) ^ { 2 } - \frac { 5 } { 4 }\)

---

Definitions:

Amortized Book Value

The adjusted book value of an asset after accounting for amortization expenses.

Bond Investment

The act of investing in bonds, which are debt securities issued by entities to raise capital, offering fixed income over time.

Unrealized Gains

Increases in the value of an asset that has not been sold, and therefore, the gains are not yet realized as income.

Statement Of Cash Flows

A financial statement showing the cash inflows and outflows from a company's operating, investing, and financing activities over a period.