Graph Reflection 906832
1. **Problem Statement:** Given the graph of $y = f(x)$ with vertices at $(-6, -2)$, $(-2, 4)$, and $(2, 2)$, we need to draw the graph of $y = -f(x)$.
2. **Understanding the Transformation:** The function $y = -f(x)$ reflects the graph of $y = f(x)$ across the $x$-axis. This means every $y$-value of $f(x)$ is multiplied by $-1$.
3. **Formula and Rule:** If a point on $y = f(x)$ is $(x, y)$, then the corresponding point on $y = -f(x)$ is $(x, -y)$.
4. **Apply to Each Vertex:**
- For $(-6, -2)$, the new point is $(-6, 2)$.
- For $(-2, 4)$, the new point is $(-2, -4)$.
- For $(2, 2)$, the new point is $(2, -2)$.
5. **Draw the Graph:** Connect these points with straight lines, preserving the shape but flipped vertically.
6. **Summary:** The graph of $y = -f(x)$ is the vertical reflection of $y = f(x)$, flipping all $y$-coordinates to their negatives.
**Final answer:** The vertices of $y = -f(x)$ are $(-6, 2)$, $(-2, -4)$, and $(2, -2)$, connected by straight lines.