The transformation \( f(x) \mapsto -f(x) \) reflects the graph of the function \( f(x) \) across the x-axis. This means that for every point \((x, f(x))\) on the graph of \( f \), the corresponding point on the graph of \(-f\) will be \((x, -f(x))\).
In summary, the transformation flips the graph vertically, turning points that were above the x-axis into points below the x-axis and vice versa.
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