Identify (from the graph) the coordinates of the vertex: (4, 3). That +4 tells us that the vertex of the basic function y = |x| has been translated 4 units to the right; that +3 tells us that the vertex has also been translated 3 units up. Consider y = |x-a| + b. Here, b = +3 and a=+4. Thus, the correct function is f(x) = |x - 4| + 3.
