Processing math: 100%
Skip to main content
Library homepage
 

Text Color

Text Size

 

Margin Size

 

Font Type

Enable Dyslexic Font
Mathematics LibreTexts

3: Graphs

( \newcommand{\kernel}{\mathrm{null}\,}\)

Learning Objectives

  • Interpret, from function notation, an action or several actions to be taken on a known function, f, in order to sketch the transformed function.
  • Sketch transformations from 9 familiar functions.
  • Write the equation of a function associated with descriptive transformations such as shifting left, right, up, or down, reflecting, stretching, and compressing of its parent function.

  • 3.1: Transformations of f(x)
    In this section, you will practice manipulating a given graph, according to the corresponding function notation. We’ll use the function f for demonstration throughout this section. But any graph will do!
  • 3.2: Transformations of Common Graphs
    The transformation of graphs, using common functions, will be a skill that will bring insight to graphing functions quickly and painlessly. Anticipating how a graph of a function will look, and transforming old graphs to new graphs, is a skill we will explore in this section. Mastering this skill will give you a leg up on understanding analytic geometry, a key component to calculus.


This page titled 3: Graphs is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Jennifer Freidenreich.

  • Was this article helpful?

Support Center

How can we help?