Find All Relative Extrema of the Function $f ( x ) = - 2 x ^ { 2 } - 8 x - 12$

Multiple Choice

Find all relative extrema of the function $f ( x ) = - 2 x ^ { 2 } - 8 x - 12$ . Use the Second Derivative Test where applicable.

A) relative max: $f ( - 2 ) = - 4$
B) relative min: $f ( 0 ) = - 12$
C) no relative min
D) no relative max
E) both A and C
F) both B and D