The graph of $$ y=f(x) $$ is shown. Draw the graph of $$ y=-f(x) $$.

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To draw the graph of $$ y = -f(x) $$ based on the graph of $$ y = f(x) $$, you need to reflect the original graph across the x-axis. Here are the steps to do this:

1. **Identify Key Points**: Look at the key points on the graph of $$ y = f(x) $$. For each point $$ (x, f(x)) $$, you will create a new point $$ (x, -f(x)) $$.

2. **Reflect Points**: For each point on the original graph, take the y-coordinate and multiply it by -1. This will give you the corresponding point on the graph of $$ y = -f(x) $$.

3. **Draw the New Graph**: Plot the new points on the same coordinate system and connect them smoothly, maintaining the shape of the original graph but inverted.

4. **Check for Features**: If the original graph has any intercepts, maxima, minima, or asymptotes, reflect those features accordingly. For example:
   - If $$ f(x) $$ has a maximum at $$ (a, b) $$, then $$ -f(x) $$ will have a minimum at $$ (a, -b) $$.
   - If $$ f(x) $$ crosses the x-axis at $$ (c, 0) $$, then $$ -f(x) $$ will also cross the x-axis at the same point.

By following these steps, you will successfully create the graph of $$ y = -f(x) $$ from the graph of $$ y = f(x) $$. If you have specific points or features from the graph of $$ f(x) $$ that you would like to discuss, please provide them, and I can help you further!
Reflect the graph of $$ y = f(x) $$ across the x-axis to draw $$ y = -f(x) $$.

The graph of is shown. Draw the graph of .

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