Write the Function in the Form $f ( x ) = a ( x - h ) ^ { 2 } + k$

question 19

Multiple Choice

Write the function in the form $f ( x ) = a ( x - h ) ^ { 2 } + k$ by completing the square.
$$g ( x ) = - 3 x ^ { 2 } + 15 x + 2$$

• A) \(g ( x ) = - 3 \left( x - \frac { 5 } { 2 } \right) ^ { 2 } + \frac { 217 } { 12 }\)
• B) \(g ( x ) = - 3 ( x + 15 ) ^ { 2 } + 2\)
• C) \(g ( x ) = - 3 \left( x - \frac { 5 } { 2 } \right) ^ { 2 } + \frac { 83 } { 4 }\)
• D) \(g ( x ) = - 3 ( x + 5 ) ^ { 2 } - \frac { 2 } { 3 }\)

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Definitions:

Universally Applicable

Refers to principles, rules, or criteria that are relevant and can be applied in every situation, without exceptions.

Special Benefits

Privileges or advantages provided to individuals or groups under specific conditions or circumstances.

Cognitive Dissonance

A psychological discomfort experienced when holding two or more conflicting beliefs, ideas, or values.

Festinger And Carlsmith

Festinger and Carlsmith refer to the researchers involved in a classic 1959 psychological experiment demonstrating cognitive dissonance, where individuals experienced discomfort resulting from holding conflicting beliefs.