1. The problem is to identify the graph of the absolute value function $$y = |x - 1|$$. 2. The general form of an absolute value function is $$y = |x - h|$$, where the vertex is at the point $$(h, 0)$$. 3. For the function $$y = |x - 1|$$, the vertex is at $$(1, 0)$$ because $h = 1$. 4. This means the graph is a V-shape with its lowest point (vertex) at $$(1, 0)$$. 5. Comparing this to the given graphs: - Graph 1 has vertex at $$(0, 0)$$. - Graph 2 has vertex at $$(1, 0)$$. - Graph 3 has vertex at $$(-1, 0)$$. 6. Therefore, the correct graph for $$y = |x - 1|$$ is Graph 2 (bottom-center).