Write the Function in Vertex Form and Determine the Range $$f ( x ) = - 3 x ^ { 2 } + 18 x - 33$$

question 78

Multiple Choice

Write the function in vertex form and determine the range.
- $$f ( x ) = - 3 x ^ { 2 } + 18 x - 33$$

• A) \(f ( x ) = - 3 ( x - 3 ) ^ { 2 } - 6\)
• Range: \(( - \infty , - 6 ]\)
• B) \(f ( x ) = - 3 ( x + 3 ) ^ { 2 } - 6\)
• Range: \(( - \infty , - 6 ]\)
• C) \(f ( x ) = - 3 ( x + 3 ) ^ { 2 } - 6\)
• Range: \([ 3 , \infty )\)
• D) \(f ( x ) = - 3 ( x - 3 ) ^ { 2 } - 6\)
• Range: \([ 3 , \infty )\)

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Definitions:

Main Connective

In logic, the operator within a proposition that determines the proposition's overall truth value; it links the main components of the proposition.

Symbolize

To represent or stand for something else, especially through the use of symbols or imagery.

Negation

A compound statement whose truth value is the opposite truth value of its component statement.

Disjunction

A logical operation that results in true if at least one of its premises is true.