chose the graph that represents the equation y=|x-4|

You have not shared the graphs from which you have to choose your answer.

Why not graph y=|x-4| yourself, to help you choose the correct answer?

First, graph y=|x|.  It looks like a "v" opening up, with the vertex at (0,0).
Next, move the whole "v" graph 4 units to the right.  

Compare your result to the given answer choices.