The correct answer is the Option C, which is:
C. G(x)=(x-2)^3
The explanation is shown below:
1. You have the the red graph has the equation F(x)=x^3
2. If you shifted two units to the right, you must add -2 to the function x^3, as below:
G(x)=(x-2)^3
3. If you want to verify this is correct, you need to give values to the variable x and plot each point.
4. You will see that the correct answer is the option mentioned above.