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Mathematics LibreTexts

3: Graphs

  • Page ID
    83120
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    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.

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