Answer:
![(x+5)^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qobj3e4bzcl2bm2yyx35j8qh718vlmi7jn.png)
Explanation:
These problems can be a bit confusing when dealing with f(x). All this problem is asking is substitute
in for f(x) to find your new graph.
When you do that:
you get
![(x+5)^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qobj3e4bzcl2bm2yyx35j8qh718vlmi7jn.png)
The parent function (f(x) is
![x^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/9wzujkoe4m4rw2sust0omen4dhhvi7mzm8.png)
Both of the functions are cubic functions so they are going in the same direction. The only difference is that the new graph is shifted to the left 5 units.
I will upload a picture so you can see.