Hofstra University
New Functions From Old: Scaled and Shifted
Includes rules, examples, and sample problems on 6 different types of translations; vertical and horizontal shift, stretch, and reflection. Uses six basic functions (x, x^2, x^3, 1/x, x^1/2, and abs(x)) throughout examples, which makes...
Windstream
Ojk's Precalculus Study Page: Reflections and Symmetry
An introduction to the various types of symmetries that can occur in the graphs of functions. Uses vertical, horizontal, and oblique reflections as a means of recognizing symmetries.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Scaled and Shifted Functions
Students learn how to sketch a shifted and scaled function. Topics explored include horizontal scaling, vertical scaling, horizontal reflections, and vertical reflections. Class notes, examples, and practice problems are used to...