Answer:
Option: B is the correct answer.
The blue graph that is the graph of the function G(x) is represented by the equation:
[tex]G(x)=(x-2)^3[/tex]
Step-by-step explanation:
We are given a parent function f(x) as:
[tex]f(x)=x^3[/tex]
and it is represented by red graph.
We could clearly observe by looking at the graph that the graph of G(x) ( which is represented by a blue graph) is a translation of the graph of f(x) 2 units to the right.
Hence, the transformation function g(x) is given by:
[tex]G(x)=f(x-2)[/tex]
which is further written as:
[tex]G(x)=(x-2)^3[/tex]
Hence, the equation for G(x) is:
[tex]G(x)=(x-2)^3[/tex]
