We are asked to choose the function whose graph is shown.
Notice that the graph is shifted upwards by 2 units. (+2)
This means that options B and D are incorrect since they are shifted downwards not upward.
Also, notice that the given graph does not seem to be compressed.
Whereas in option C, the function is compressed by a scale factor of 2.
Therefore, we are left with option A which must be the correct answer.
[tex]y=\tan(x-\pi)+2[/tex]
To verify, let us have a look at the graph of option A.
As you can see, the above graph matches exactly the given graph.
