The correct response is:
−f(x) is a reflection over the x-axis, where the y-values become their opposites. f(−x) is a reflection over the y-axis, where the x-values become their opposites.
To clarify:
- −f(x) flips the graph of the function across the x-axis.
- f(−x) flips the graph of the function across the y-axis.