Reflecting Functions Practice: Symmetry Transform of Graphs

This example demonstrates how to reflect the graph of a function across a chosen symmetry line (for example, the x-axis or y-axis) to obtain the transformed function’s graph. The key mathematics concepts are functions, graph transformations, and geometric symmetry—especially the way reflection changes the relationship between x-values and y-values, giving an intuitive view of even/odd-like symmetry properties. Construction-wise, while the provided source contains no GeoGebra construction commands, the typical workflow in GeoGebra is to define the original function and its graph, specify the reflection axis, and apply a reflection transformation to the graph (and/or to representative points) to create the reflected curve. This helps learners verify the mapping of points under reflection and compare pre- and post-transformation geometry. Suitable for middle to early high school teaching, classroom practice, and self-study for understanding function transformations visually.