Answer
$(a)$ See the Blue graph in the image above.
$(b)$ See the Red graph in the image above.
$(c)$ $c$ shifts the original graph either to the left-hand side or right-hand side by $c$ units.
Work Step by Step
We have a general form $x^3$ when $c=0$, that is the Black graph on the image above.
$(a)$ See the Blue graph in the image above.
Subtracting $c$ shifts the original graph by $c$ units to the right-hand side.
$(b)$ See the Red graph in the image above.
By addition, the original graph shifts to the left-hand side by $c$ units.
$(c)$ $c$ shifts the original graph either to the left-hand side or right-hand side by $c$ units.