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

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: $[ 3 , \infty )$