Use the Quadratic Function to Determine If the Function Has $$f ( x ) = - x ^ { 2 } - \frac { 4 } { 5 } x + 6$$

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.
- $$f ( x ) = - x ^ { 2 } - \frac { 4 } { 5 } x + 6$$

A) minimum at $\left( - \frac { 2 } { 5 } , - \frac { 121 } { 25 } \right)$
B) minimum at $\left( - \frac { 1 } { 10 } , - \frac { 73 } { 3 } \right)$
C) maximum at $\left( \frac { 1 } { 10 } , - 121 \right)$
D) maximum at $\left( - \frac { 2 } { 5 } , \frac { 154 } { 25 } \right)$