Vertical Dilations with Reflections

This GeoGebra example provides an interactive visualization of vertical dilations and reflections applied to linear functions. It demonstrates how changing the coefficient a in a linear equation y = ax + b stretches, compresses, or flips the graph across the x-axisasi. The core mathematical concepts include affine transformations, function scaling, and reflection symmetry. The construction uses the Sequence command to generate multiple transformed lines, a Textfield and InputBox1 for user input of the parameter a, and text objects (text1, text2) to display the current function equations. This resource is ideal for middle school to high school students learning about slope effects on linear graphs, and for teachers demonstrating transformation concepts in algebra or precalculus classes. It supports hands-on exploration of how negative coefficients produce reflections and how magnitude affects steepness.