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.
- $$f ( x ) = - 10 x ^ { 2 } - 2 x - 8$$

A) maximum; $\frac { 79 } { 10 }$
B) maximum; $- \frac { 79 } { 10 }$
C) minimum; $\frac { 79 } { 10 }$
D) minimum; $- \frac { 79 } { 10 }$