Determine, Without Graphing, Whether the Given Quadratic Function Has a Maximum

Multiple Choice

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then
find that value.
- $$f ( x ) = - 5 x ^ { 2 } + 5 x$$

A) minimum; $- \frac { 5 } { 4 }$
B) maximum; $- \frac { 5 } { 4 }$
C) minimum; $\frac { 5 } { 4 }$
D) maximum; $\frac { 5 } { 4 }$