Vertical Shifting or translation of Graphs
This applet allows you to explore interactively the vertical shifting or translation of the graph of a function.
A constant d is added to a function f(x) and its graph is investigated by changing d. The function to be analyzed is of the form
g(x) = f(x) + d
where f(x) is any of the functions:
f(x)=||x| - 2| ( a "W" shaped graph)
How does the addition of a constant to a function affect the graph
of this function ?
1-use the scroll bar to set the constant to different values
and observe the effect on the graph.
What is the range of values of the constant that create a vertical shifting up ?
What is the range of values of the constant that create a vertical shifting down? Explain analytically.
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)=x2 or f(x)=x3.
More pages and topics related to graph transformation (scaling, shifting) can be found in this site.
Step by Step Math Worksheets SolversNew !
Linear ProgrammingNew !
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
Precalculus Tutorials --
Precalculus Questions and Problems
Precalculus Applets --
Equations, Systems and Inequalities
Online Calculators --
Geometry Tutorials --
Geometry Calculators --
Calculus Tutorials --
Calculus Questions --
Applied Math --
Math Software --
High School Math --
Middle School Math --
Math Videos From Analyzemath
Updated: February 2015
Copyright © 2003 - 2016 - All rights reserved