Absolute Value Functions (Part 1): Piecewise Linear Graph and Vertex Form

This GeoGebra example demonstrates how an absolute value function graph is formed, highlighting the distinctive “corner” (turning point) at the vertex and the resulting piecewise-linear behavior. It focuses on key ideas such as the geometric meaning of absolute value, the equivalence to a distance-type expression, the vertex (kink) location, and how changing parameters affects slope and overall shape on different sides of the vertex. Construction-wise, the diagram is assembled from a set of labeled objects (A1, A2, B1, C1, D1, E1, F1, G1, H1, I1, J1, K1), using these key points to build the corresponding segments of the graph and reflect the structured relationship between left and right parts of the function. Suitable for late middle school through early high school (or pre-calculus) students, and appropriate for teaching absolute value functions and interpreting function graphs.