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.
- $$f ( x ) = 3 x ^ { 2 } + 2 x - 6$$

A) minimum; $- \frac { 1 } { 3 }$

B) minimum; $- \frac { 19 } { 3 }$

C) maximum; $- \frac { 1 } { 3 }$

D) maximum; $- \frac { 19 } { 3 }$