Answer
$$
f(x)=(x-2)^{3}+3
$$
The given graph is the graph of
$$
y=x^{3}
$$
translated 2 units to the right and 3 units upward.
Work Step by Step
$$
f(x)=(x-2)^{3}+3
$$
The given graph is the graph of
$$
y=x^{3}
$$
translated 2 units to the right and 3 units upward.