Videos, worksheets, solutions, and activities to help PreCalculus students learn about horizontal and vertical graph stretches and compressions.

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More Lessons on Pre-Calculus

Transformations of Trigonometric Graphs

The general formula is given as well as a few concrete examples.

y = c f(x), vertical stretch, factor of c

y = (1/c) f(x), compress vertically, factor of c

y = f(cx), compress horizontally, factor of c

y = f(x/c), stretch horizontally, factor of c

y = - f(x), reflect at x-axis

y = f(-x), reflect at y-axis

This video discusses the horizontal stretching and compressing of graphs.

There are different types of math transformation, one of which is the type y = f(bx). This type of math transformation is a horizontal compression when b is greater than one. We can graph this math transformation by using tables to transform the original elementary function. Other important transformations include vertical shifts, horizontal shifts, and reflections.

This video explains to graph graph horizontal and vertical stretches and compressions in the form a*f(b(x-c))+d. This video looks at how a and b affect the graph of f(x).

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.