Given that :
f(x) = x ³ -----> parent function
g(x) = (x-1)³ + 4 ----> transformed function
Now, the rule of the translation is :
For ( x, y) -----> ( x-1 ), ( x + 4)
It represents that the translation is 1 unit to the right and 4 units up.
Thus, according to the information, the correct graph is Graph E.