Horizontal Stretching and Compression of Graphs

This applet helps you explore the changes that occur to the graph of a function when its independent variable x is multiplied by a positive constant a (horizontal stretching or compression). The functions to be explored are of the form

f(a*x)

where f(x) is any of the three functions:
          f(x)=||x|-2| (a "W" shaped graph)
          f(x)=x2
or
          f(x)=x3
If needed, Free graph paper is available.

Your browser is completely ignoring the <APPLET> tag!
TUTORIAL

objective:investigate the effects of the multiplication of the independent variable x of a function by a positive constant a.

1 - Click on the button above "click here to start" and MAXIMIZE the window obtained.

2 - Use the slider to set constant a to values smaller than 1 and observe the effect on the graph. Do these values of a compress or stretch the graph?

3 - Use the slider to set constant a to values larger than 1 and observe the effect on the graph. Do these values of a compress or stretch the graph?

Note: You have the choice (left panel, top) of any of the three functions f(x)=||x|-2| (this has a "W" shaped graph), f(x)=x
2 or f(x)=x3.

More pages and topics related to graph transormation (scaling, shifting) can be found in this site.


Online Step by Step Calculus Calculators and SolversNew ! Factor Quadratic Expressions - Step by Step CalculatorNew ! Step by Step Calculator to Find Domain of a Function New !
Free Trigonometry Questions with Answers -- Interactive HTML5 Math Web Apps for Mobile LearningNew ! -- Free Online Graph Plotter for All Devices
Home Page -- HTML5 Math Applets for Mobile Learning -- Math Formulas for Mobile Learning -- Algebra Questions -- Math Worksheets -- Free Compass Math tests Practice
Free Practice for SAT, ACT Math tests -- GRE practice -- GMAT practice Precalculus Tutorials -- Precalculus Questions and Problems -- Precalculus Applets -- Equations, Systems and Inequalities -- Online Calculators -- Graphing -- Trigonometry -- Trigonometry Worsheets -- Geometry Tutorials -- Geometry Calculators -- Geometry Worksheets -- Calculus Tutorials -- Calculus Questions -- Calculus Worksheets -- Applied Math -- Antennas -- Math Software -- Elementary Statistics High School Math -- Middle School Math -- Primary Math
Math Videos From Analyzemath
Author - e-mail


Updated: 2 April 2013

Copyright 2003 - 2014 - All rights reserved

Popular Pages