Horizontal Reflection

Basic Concepts of Horizontal Reflection

Horizontal reflection is a geometric transformation that reflects the graph of a function across the $y$-axis, like seeing the reflection of an object in a vertical mirror. Imagine standing in front of a mirror, your right hand will appear as your left hand in the mirror, similarly with function graphs that are reflected horizontally.

If we have a function $f(x)$, then horizontal reflection produces a new function $g(x) = f(-x)$ which is the reflection of the original function across the -axis.