To draw the graph of $y = -f(x)$, you need to reflect the original graph $y = f(x)$ over the x-axis. This means you take each point on the graph of $y = f(x)$ and change its $y$-coordinate to its negative while keeping the $x$-coordinate unchanged. Here's how you can do it:

1. Locate key points on the original graph (e.g., intersections with axes, turning points, and endpoints).
2. Reflect these points over the x-axis by changing their $y$-coordinate's sign.
3. Draw the reflected points on the same grid.
4. Connect the reflected points smoothly to form the new graph of $y = -f(x)$.

Would you like me to guide you further step-by-step with this reflection? Here are five related questions to expand your understanding:

1. What happens to the graph if we reflect it over the y-axis instead?
2. How does the transformation $y = -f(-x)$ differ from $y = -f(x)$?
3. How do reflections affect the symmetry of a function's graph?
4. Can you identify whether the original function $y = f(x)$ is odd, even, or neither based on the given graph?
5. How would the graph change if you applied a vertical stretch or compression alongside the reflection?

Tip: Always verify the reflected points by comparing their coordinates to ensure the reflection is accurate!