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Interpret, from function notation, an action or several actions to be taken on a known function, \(f\), in order to sketch the transformed function.
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Sketch transformations from \(9\) familiar functions.
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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.
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3.1: Transformations of f(x)
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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!
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3.2: Transformations of Common Graphs
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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.