Β The answer is (B) Right by 4 units.
Step-by-step explanation: Β The two functions f(x) and g(x) are defined as follows:
![f(x)=x^2,\\\\g(x)=x^2-8x+16.](/tpl/images/0349/2009/4ff33.png)
We are to check the correct transformation Β 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.](/tpl/images/0349/2009/77298.png)
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.
![Functions f(x) and g(x) are shown below: f(x) = x2 g(x) = x2 β 8x + 16 in which direction and by ho](/tpl/images/0349/2009/04564.jpg)