Given the functions:
[tex]\begin{gathered} f(x)=x^2 \\ g(x)=(x-4)^2 \end{gathered}[/tex]The graph of the functions will be as follows:
As shown:
The blue graph represents the function f(x).
The red graph represents the function g(x).
F(x) is the parent function of the function g(x).
Translation of the function f(x) 4 units right will give the function g(x).