Graph the Equation $=2 x^{3}-3 x^{2}-12 x$ A) Local Minimum $(2,-20)$

Graph the equation. Include the coordinates of any local and absolute extreme points and inflection points.
-y $=2 x^{3}-3 x^{2}-12 x$

A) local minimum: $(2,-20)$
local maximum: $(-1,7)$
inflection point: $\left(\frac{1}{2},-\frac{13}{2}\right)$


B) Iocal minimum: $(-2,8)$
local maximum: $(0,0)$
inflection point: $(-1,4)$

C) no extrema
inflection point: $(0,0)$


D) local minimum: $( 3 , - 30 )$
no inflection point