(Section 1.4: Transformations) 1.4.1SECTION 1.4: TRANSFORMATIONSLEARNING 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 transformationssuch as translations (“shifts”), reflections, and rotations, and nonrigid transformationssuch as vertical and horizontal “stretching and squeezing.” • Sequences of transformations correspond to compositionsof functions, which we
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