Which transformation occurs when applying f(-x) to a function?

When applying the transformation f(-x) to a function, what happens is that the graph of the function is reflected over the y-axis. This is because substituting -x into the function changes the sign of the x-values. For every point (x, y) on the original graph, the corresponding point on the transformed graph will now be (-x, y). This mirroring across the y-axis effectively flips the graph horizontally.

For example, if you have a point (2, f(2)), after applying the transformation, you would have the point (-2, f(-2)), meanwhile, the y-values remain the same at those respective x-values, confirming that the graph is mirrored over the y-axis.

This reflection is a fundamental concept in transformations of functions and is critical in understanding how modifications to the input of the function affect the entire graph.