1. **Problem Statement:** Draw the graph of the equation $$|x - 4| = y$$. 2. **Understanding the equation:** The equation $$y = |x - 4|$$ represents the absolute value function shifted 4 units to the right. 3. **Key properties of absolute value function:** - The graph is V-shaped. - The vertex is at the point where the expression inside the absolute value is zero, i.e., at $$x=4$$. - For $$x \geq 4$$, $$y = x - 4$$ (a line with slope 1). - For $$x < 4$$, $$y = -(x - 4) = 4 - x$$ (a line with slope -1). 4. **Plotting points:** - At $$x=4$$, $$y=0$$. - At $$x=5$$, $$y=|5-4|=1$$. - At $$x=3$$, $$y=|3-4|=1$$. 5. **Graph shape:** The graph is a V with vertex at (4,0), opening upwards. **Final answer:** The graph of $$y=|x-4|$$ is a V-shaped graph with vertex at (4,0), consisting of two rays: one with slope 1 for $$x \geq 4$$ and one with slope -1 for $$x < 4$$.