Answer:
B is correct.
{tex]G(x)=x^3-x[/tex]
Step-by-step explanation:
We are given a graph of cubic polynomial after shift 1.5 unit right.
Equation of given graph is
[tex]G(x)=(x-1.5)^3-(x-1.5)[/tex]
For right and left shift, change in x value or horizontal translation.
If we shift "a" unit left then change in x
[tex]x\rightarrow (x+a)[/tex]
If we shift "a" unit right then change in x
[tex]x\rightarrow (x-a)[/tex]
Here, we need to shift 1.5 unit left to get original function.
[tex]G(x)=(x-1.5)^3-(x-1.5)[/tex]
Shift 1.5 unit left
[tex]F(x)=(x-1.5+1.5)^3-(x-1.5+1.5)[/tex]
[tex]F(x)=x^3-x[/tex]
Hence, B is correct function.
