Absolute Value Functions: Graph Transforms (Part 2)

This example demonstrates how absolute value functions form characteristic V-shaped (piecewise linear) graphs and how their shape changes when parameters are adjusted. It highlights the geometric meaning of |x|, the piecewise nature of the function (the expression switches when the absolute value’s inside changes sign), and key graph features such as the vertex (turning point), symmetry, and the relationship between slope and function definition on each side of the breakpoint. The construction is centered on graphing the absolute value function and emphasizing critical points/segments on the coordinate plane; the provided construct summary is empty, so no specific GeoGebra commands are listed, but the intended workflow is function graph visualization with highlighted points to reveal the piecewise behavior. Suitable for upper secondary students and early college learners, as well as for pre-calculus study of function graphs and modeling.