1. The problem asks to describe the transformation represented by the equation $y = -f(x)$ compared to the graph of $y = f(x)$. 2. The formula used here is the transformation of a function by multiplying it by $-1$: $$y = -f(x)$$ 3. Important rule: Multiplying the output of a function by $-1$ reflects the graph of the function across the x-axis. 4. This means every point $(x, y)$ on the graph of $y = f(x)$ is transformed to $(x, -y)$ on the graph of $y = -f(x)$. 5. In plain language, if the original graph goes above the x-axis, the transformed graph will go the same distance below the x-axis, and vice versa. 6. This reflection flips the graph upside down but does not change the x-values or the shape of the graph, only the sign of the y-values. Final answer: The graph of $y = -f(x)$ is the reflection of the graph of $y = f(x)$ across the x-axis.