1. The problem is to find the equation of the graph given that it is an inverted "V" shaped graph of a negative absolute value function centered at the point $(-2, 1)$. 2. The general form of an absolute value function is $$y = a|x - h| + k$$ where $(h, k)$ is the vertex of the graph and $a$ determines the direction and steepness. Since the graph is inverted, $a$ is negative. 3. Here, the vertex is $(-2, 1)$, so $h = -2$ and $k = 1$. The graph opens downward, so $a = -1$. 4. Substitute these values into the formula: $$y = -|x - (-2)| + 1$$ 5. Simplify the expression inside the absolute value: $$y = -|x + 2| + 1$$ 6. This is the equation of the graph. It matches the description of an inverted "V" shaped graph centered at $(-2, 1)$.