Answer: The answer is (B) Right by 4 units.
Step-by-step explanation: The two functions f(x) and g(x) are defined as follows:
\(f(x)=x^2,\\\\g(x)=x^2-8x+16.\)
We are to check the correct transformation of the graph of f(x) to the graph of g(x).
We can rewrite the graph of g(x) as follows:
\(g(x)=x^2-8x+16=x^2-2\times x\times 4+4^2=(x-4)^2.\)
Comparing this with the equation of f(x), we can say that f(x) is shifted right by 4 units to obtain g(x).
The graphs of both the functions are shown in the attached figure.
