Determine Whether the Given Quadratic Function Has a Minimum Value $$f ( x ) = - 3 x ^ { 2 } + 9 x$$

Multiple Choice

Determine whether the given quadratic function has a minimum value or maximum value. Then find the
coordinates of the minimum or maximum point.
- $$f ( x ) = - 3 x ^ { 2 } + 9 x$$

A) maximum; $\left( \frac { 3 } { 2 } , \frac { 27 } { 4 } \right)$
B) minimum; $\left( \frac { 3 } { 2 } , \frac { 27 } { 4 } \right)$
C) minimum; $\left( - \frac { 3 } { 2 } , - \frac { 27 } { 4 } \right)$
D) maximum; $\left( - \frac { 3 } { 2 } , - \frac { 27 } { 4 } \right)$