Functions f(x) and g(x) are shown below:

f(x) = x2
g(x) = x2 − 8x + 16

in which direction and by how many units should f(x) be shifted to obtain g(x)?

left by 4 units
right by 4 units
left by 8 units
right by 8 units

 The answer is (B) Right by 4 units.

Step-by-step explanation:  The two functions f(x) and g(x) are defined as follows:

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:

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.

add an image, and i will answer

step-by-step explanation: