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:

Reproductive Strategy

A method or approach employed by species to ensure their continuation through the production of offspring.

Sexual Reproduction

A biological process by which new individual organisms are produced through the combination of genetic materials from two different cells.

Asexual Reproduction

A mode of reproduction by which offspring arise from a single organism, and inherit the genes of that parent only; does not involve the joining of gametes.

Crossing Over

A process during meiosis where homologous chromosomes exchange genetic material, leading to genetic diversity.