Some Transformations of Graphs

Translations (Updated*)

Reflection 1

Reflection 2

Reflection 3

Reflection 4

Stretches

Dilations (Enlargement/reduction)

Translating & Dilating Parabola (Updated)

Translating, Shearing & Stretching Cubic Polynomials (Updated)

Vertical Line and Point Symmetries of Differentiable Functions (New!)

Interesting Locus Result (New!)

Reference
De Villiers, M. (1993). Transformations: A golden thread in school mathematics. Spectrum, Vol 31, No 4, pp. 11-18.

External Link
Investigate Geometric Transformations as Functions

Back to "Dynamic Geometry Sketches"

Back to "Student Explorations"

Created by Michael de Villiers, 2008; those marked 'Updated' have been updated to WebSketchpad Jan 2019; updated 4 July 2022; 29 Jan 2024; 4 Dec 2024; 28 Jan 2026.