What type of function transformation is this y equals f of x and y equals f of negative X

Answer 1

The transformation from \( y = f(x) \) to \( y = f(-x) \) is a reflection over the y-axis.

In this transformation, for every point \( (x, f(x)) \) on the graph of \( y = f(x) \), there is a corresponding point \( (-x, f(-x)) \) on the graph of \( y = f(-x) \). This means that the graph is flipped horizontally, resulting in a mirror image of the original graph across the y-axis.