Additional Info

Share

Vertical Stretching and Compression(scaling) of Graphs

This applet helps you explore, interactively, and understand the stretching and compression of the graph of a function when this function is multiplied by a constant a.

The function to be analyzed is of the form a*f(x). In this tutorial you may use f(x) = ||x|-2| (a "W" shaped graph), f(x) = x2 or f(x) = x3.



TUTORIAL

How does the multiplication of a function by a positive constant affect the graph of this function ?

1-Use the scrollbar to set the constant a to different values and observe the effect on the graph.

What is the range of values of the constant that create a vertical compression?

What is the range of values of the constant that create a vertical stretching?

What values reflect the graph on the x axis?

Explain analytically.

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.



Related topics


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