Answer
The graph of $y=(x-1)^{3}+2 $ is obtained from $y=x^{3}$
by shifting it 1 unit to the right and then
by shifting it up 2 units.
Work Step by Step
The graph of $y=(x-1)^{3}$ is obtained from $y=x^{3}$
by shifting it 1 units to the right.
The graph of $y=(x-1)^{3}+2 $ is obtained from $y=(x-1)^{3}$
by shifting it up 2 units.
So,
The graph of $y=(x-1)^{3}+2 $ is obtained from $y=x^{3}$
by shifting it 1 unit to the right and then
by shifting it up 2 units.