Which function represents the graph of f(x)=|x+2| after it is translated 4 units to the right? a. g(x)=|x+6| b. g(x)=|x+2|−4 c. g(x)=|x+2|+4 d. g(x)=|x−2|

Step-by-step explanation:

The vertex form of an absolute function is

           .... (1)

where, (h,k) is vertex.

The given function is

The vertex of the function is (-2,0).

It is given that graph of f(x) is translated 4 units to the right. So, the vertex of the function after translation is (2,0).

Substitute h=2 and k=0 in function (1).

Therefore, the required function is .