1. The problem asks to graph the function $y = f(-x)$ given the graph of $y = f(x)$. This involves reflecting the graph of $f(x)$ about the y-axis. 2. The key formula is the reflection about the y-axis: if the original function is $y = f(x)$, then the reflected function is $y = f(-x)$. 3. Reflection about the y-axis means that every point $(x, y)$ on the graph of $f(x)$ is mapped to $(-x, y)$ on the graph of $f(-x)$. 4. For example, if the point $(5, 3)$ lies on $y = f(x)$, then the point $(-5, 3)$ lies on $y = f(-x)$. 5. This transformation flips the graph horizontally but does not change the y-values. 6. To graph $y = f(-x)$, take each point on $y = f(x)$ and reflect its x-coordinate across zero by negating it. 7. The "Drag Function" control moves the reflected graph horizontally, and the "Control Width" adjusts the horizontal scaling, but the core reflection is the negation of the x-coordinate. Final answer: The graph of $y = f(-x)$ is the reflection of $y = f(x)$ about the y-axis, mapping each point $(x, y)$ to $(-x, y)$.