Advertisement
Online Test Banks
Score higher
See Online Test Banks
eLearning
Learning anything is easy
Browse Online Courses
Mobile Apps
Learning on the go
Explore Mobile Apps
Dummies Store
Shop for books and more
Start Shopping

How to Horizontally Transform Parent Graphs

When you apply a horizontal transformation to a parent graph, you are stretching or shrinking the graph horizontally, along the x-axis. A number multiplying a variable inside a function affects the horizontal position of the graph — a little like the fast-forward or slow-motion button on a remote control, making the graph move faster or slower. A coefficient greater than 1 causes the function to shrink horizontally, making it appear to move faster. A coefficient between 0 and 1 makes the function appear to move slower, or a horizontal stretch.

image0.jpg

For instance, look at the graph of f(x) = |2x| in the preceding figure. If the distance between any two x values in the parent graph is 1, then those x-values will correspond (based on the values they get mapped to) to x-values for the graph f(x)=|2x| having a distance of ½. To see this, set the inside of the new, transformed function equal to the distance between the x values, you get 2x = 1. Solving the equation gives you x = 1/2 Hence in the parent graph we have the points (0,0) , (1,1), (2,2), (3,3), etc.; yet in f(x)=|2x| we have the points (0,0) , (1/2,1), (1,2),(3/2.3), etc.

  • Add a Comment
  • Print
  • Share
blog comments powered by Disqus
Advertisement
Advertisement

Inside Dummies.com

Dummies.com Sweepstakes

Win an iPad Mini. Enter to win now!