If graph of the function y=f(x) was shifted to the right 1 unit,
then you got new function y=f(x-1).
Given function :
[tex]\begin{gathered} g(x)=(x-1.5)^3-(x-1.5) \\ \text{ Since the graph is shifted to right 1, thus x}\Rightarrow x+1 \\ g(x+1)=(x+1-1.5)^3-(x+1-1.5) \\ g(x+1)=(x-0.5)^3-(x-0.5) \end{gathered}[/tex]SO, the equation of graph will be when is shifte right 1
is
[tex]g(x+1)=(x-0.5)^3-(x-0.5)[/tex]