In the original function f(x), the value of y is always 1/2, regardless of the value of x. This means the graph is a horizontal line located at y = 1/2.
Analyzing the answer choices, we can see that option C, y = f(x + 1) - 2, best represents the given graphed function. Shifting the function f(x) = 1/2 one unit to the left gives us f(x + 1), and subtracting 2 from the function vertically moves the line downward. Thus, option C correctly represents the graphed function.