Determine Whether the Given Quadratic Function Has a Minimum Value $$f ( x ) = 2 x ^ { 2 } - 4 x$$

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.
- $$f ( x ) = 2 x ^ { 2 } - 4 x$$

A) minimum; $( 1 , - 2 )$
B) maximum; $( 1 , - 2 )$
C) minimum; $( - 1 , - 2 )$
D) maximum; $( - 1 , - 2 )$