Sec24Notes - • Work from “inside – out” • Shift...

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Sec24Notes.notebook 1 September 28, 2009 Sec. 2.4 Transformations of Functions Start with the graphs of the Basic Functions Given the graph of Graph of Graph of Vertical Shifts
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Sec24Notes.notebook 2 September 28, 2009 Horizontal Shifts Given the graph of Graph of Graph of Examples: Draw a graph of f(x) using transformations of a basic graph. Label two points and follow them through the transformations.
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Sec24Notes.notebook 3 September 28, 2009 Horizontal/Vertical Reflections Given the graph of Graph of Graph of Vertical Stretching and Shrinking Given the graph of Graph of Graph of
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Sec24Notes.notebook 4 September 28, 2009 Horizontal Stretching and Shrinking Given the graph of Graph of Graph of Note: If the change occurs “inside” the function, this effect the graph horizontally. If the change occurs “outside” the function, this effects the graph vertically.
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Sec24Notes.notebook 5 September 28, 2009 If a function is a result of a series of transformations, the graph can be found as well. However, the transformations must be done in the right order.
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Unformatted text preview: • Work from “inside – out” • Shift Left/Right by ‘b‛ • Stretch/Shrink/Reflect Horizontal by ‘a‛ • Stretch/Shrink/Reflect Vertical by ‘c‛ • Shift Up/Down by ‘d‛ Combining Transformations http://www.math.ohio­state.edu/~maharry/GeoGebra/GraphTransformationsBasedonMay.html Examples: Think of a series of transformations from a beginning graph. Combining Transformations Sec24Notes.notebook 6 September 28, 2009 Examples: Think of a series of transformations from a beginning graph. Combining Transformations Examples: Think of a series of transformations from a beginning graph. Combining Transformations Sec24Notes.notebook 7 September 28, 2009 Find an equation for the following graphs. Find an equation for the following graphs. Sec24Notes.notebook 8 September 28, 2009 Find an equation for the following graphs. Find an equation for the following graphs. Sec24Notes.notebook 9 September 28, 2009...
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This note was uploaded on 10/07/2009 for the course MATH 150 taught by Professor Unknown during the Fall '06 term at Ohio State.

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Sec24Notes - • Work from “inside – out” • Shift...

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