Determine Whether the Given Quadratic Function Has a Minimum Value $$f ( x ) = - x ^ { 2 } - 2 x - 8$$

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

A) maximum; $( - 7 , - 1 )$
B) maximum; $( - 1 , - 7 )$
C) minimum; $( - 1 , - 7 )$
D) minimum; $( - 7 , - 1 )$