Answer: The correct option is (D) [tex]|x-8|+2.[/tex]
Step-by-step explanation: We are given to select the correct function that is graphed in the given figure.
Since the graph is of V-shaped, so the function is obviously absolute one.
Now, we know that
the absolute function f(x) having vertex at the point (h, k) is written as follows :
[tex]f(x)=|x-h|+k.[/tex]
For the given function, the vertex is at the point (8, 2).
Therefore, the required function that is graphed is given by
[tex]f(x)=|x-8|+2.[/tex]
Thus, (D) is the correct option.
