Respuesta :
Using translation concepts, it is found that the graph of f(x), compared to the graph of g(x) is:
- Shifted 8 units to the right.
- Shifted 4 units up.
The parent function is:
[tex]g(x) = x^3[/tex]
Finding g(x - a) is the equivalent to shifting the graph a units to the right, thus, since we have that [tex]x \rightarrow x - 8[/tex], the graph is shifted 8 units to the right.
Adding a to the function is the same as shifting the graph up a units, and in this problem 4 is added, thus the graph was also shifted 4 units up.
A similar problem is given at https://brainly.com/question/18405655