Precalc0103to0104-page25 - (Section 1.4: Transformations)...

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(Section 1.4: Transformations) 1.4.1 SECTION 1.4: TRANSFORMATIONS LEARNING OBJECTIVES • Know how to graph transformations of functions. • Know how to find an equation for a transformed basic graph. • Use graphs to determine domains and ranges of transformed functions. PART A: DISCUSSION • Variations of the basic functions from Section 1.3 correspond to variations of the basic graphs. These variations are called transformations . • Graphical transformations include rigid transformations such as translations (“shifts”) , reflections , and rotations , and nonrigid transformations such as vertical and horizontal “stretching and squeezing .” • Sequences of transformations correspond to compositions of functions, which we
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This document was uploaded on 12/29/2011.

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