Answer
See image:
Work Step by Step
Start with $f_{1}(x)=x^{4}$.
$f(x)=(x+1)^{4}= f_{1}(x+1)$,
the graph of $f$ is obtaind by translating $f_{1}$ one unit to the left.
Create a table of several function values and plot points $(x,f_{1}(x)).$
Take the points obtained in the table,
translate them one unit to the left and join with a smooth curve.