Answer: OPTION B
Step-by-step explanation:
By definition, the parent function is the simplest form of a function. In this case, you have the quadratic parent function [tex]f(x)=x^{2}[/tex]
As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:
[tex]f(x-2)=(x-2)^2[/tex]
Therefore, the equation of the function g(x) is:
[tex]g(x)=(x-2)^2[/tex]
