1. The problem is to graph the equation $$y = |x + 2| - 2$$. 2. This is an absolute value function shifted horizontally and vertically. 3. The general form of an absolute value function is $$y = |x - h| + k$$ where $(h, k)$ is the vertex. 4. Here, $$y = |x + 2| - 2$$ can be rewritten as $$y = |x - (-2)| - 2$$, so the vertex is at $$(-2, -2)$$. 5. The graph is a V-shape opening upwards with vertex at $$(-2, -2)$$. 6. To plot points, choose values of $$x$$ around $$-2$$: - For $$x = -3$$, $$y = |-3 + 2| - 2 = | -1 | - 2 = 1 - 2 = -1$$. - For $$x = -1$$, $$y = |-1 + 2| - 2 = |1| - 2 = 1 - 2 = -1$$. - For $$x = 0$$, $$y = |0 + 2| - 2 = 2 - 2 = 0$$. 7. Plot these points and draw the V-shaped graph with vertex at $$(-2, -2)$$. This completes the graphing of the equation.