Final answer:
Without the graph or additional information, we cannot determine the exact value of h in the function f(x) = |x-h| + K.
Step-by-step explanation:
To determine the value of h in the function f(x) = |x-h| + K, we need to know certain characteristics of its graph. When f(x) is graphed, the vertex of the graph, which is the point where the graph changes direction, occurs at the point (h, K). This is because the absolute value function is v-shaped and its vertex is at the point where x equals the constant inside the absolute value (in this case, h), and y equals the constant added to the absolute value (in this case, K). Since no specifics of the graph were provided in the question, and no additional information given on K or the context of the graph, we cannot determine the exact value of h without this crucial data.