To solve this question, we could easily go through the options given and plot the graphs to see which one matches the graph.
Or one can carefully look out for the points which the lines intercept the graph.
First of all, the graph given is enclosed in an absolute operation i.e everything in between the slash carries a postive sign as well as makes the position of the lines unique having a sharp connecting edges.
Attached below is a copy of a graph representing -|x-1| + 8
While the range and domain of the graph corresponds to the equation -|x - 1| +8.
From the explanation above, the answer to this question is option A