[tex]\begin{gathered} f(x)=x^3 \\ \end{gathered}[/tex]
A horizontal translation is given by:
[tex]f(x)=f(x\pm k)[/tex]
In horizontal translation, each point on the graph moves k units horizontally and the graph is said to translate k units horizontally. The translation moves the graph to the left when k is a positive value and to the right when k is negative value.
Therefore:
[tex]f(x+5)=(x+5)^3[/tex]
