Respuesta :
If graph of the function y=f(x) was shifted to the right 1 unit, then you got new function y=f(x-1).
Reversly, if you have the function [tex]g(x)=(x-1.5)^3-(x-1.5)[/tex] that is obtained by shifting to the right 1 unit, then the initial function was
[tex]g(x+1)=(x+1-1.5)^3-(x+1-1.5), \\ g(x+1)=(x-0.5)^3-(x-0.5)[/tex].
Answer: Correct choice is D.
Reversly, if you have the function [tex]g(x)=(x-1.5)^3-(x-1.5)[/tex] that is obtained by shifting to the right 1 unit, then the initial function was
[tex]g(x+1)=(x+1-1.5)^3-(x+1-1.5), \\ g(x+1)=(x-0.5)^3-(x-0.5)[/tex].
Answer: Correct choice is D.