Two-Step Translation of Function and Image

This GeoGebra example demonstrates a two-step translation transformation applied to a function object f and an image object pic1, showing how geometric figures shift progressively across the coordinate plane. Core mathematical concepts include translation (rigid motion), function graph transformation, coordinate geometry, and the correspondence between pre-image and image. Construction relies on the objects f and pic1 from the summary, using GeoGebra translation commands or vector tools to perform consecutive translations in two steps and dynamically observe the resulting positions. Suitable for middle school geometry and high school function instruction, it serves teachers for classroom demonstration of translation properties and students for independent exploration of transformation rules, reinforcing that translation preserves shape and size.