Use the Quadratic Function to Determine If the Function Has $$f ( x ) = 3 x ^ { 2 } + 3 x - 9$$

Multiple Choice

Use the quadratic function to determine if the function has a maximum or minimum value and then find this maximum or minimum value.
- $$f ( x ) = 3 x ^ { 2 } + 3 x - 9$$

A) minimum at $\left( - \frac { 1 } { 2 } , - \frac { 39 } { 4 } \right)$
B) minimum at $\left( - \frac { 39 } { 4 } , - \frac { 1 } { 2 } \right)$
C) maximum at $\left( - \frac { 1 } { 2 } , - \frac { 39 } { 4 } \right)$
D) maximum at $\left( - \frac { 39 } { 4 } , - \frac { 1 } { 2 } \right)$