Transformations - Transformations of functions 1 Objectives 1 Given a function describe the geometric transformations on that function 2 Given a

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1 Transformations of functions
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2 Objectives: 1. Given a function, describe the geometric transformations on that function. 2. Given a set of geometric transformations on a given function, rewrite the new function. 3. Sketch a graph using geometric transformations.
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3 The independent variable of a function is also called the “argument” of the function. f(x) = (x-2) 2 + 3 the function the argument of the function
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4 Vertical Shifting Adding a constant to a function shifts its  graph vertically.
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5 -4 -3 -2 -1 1 2 3 4 -3 -2 -1 1 2 3 3 2 3 2 3 2
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6 Vertical Shifts y = f(x) + c (c > 0), shifts the graph of f(x) up  “c” units  y = f(x) - c (c > 0), shifts the graph of f(x)  down “c” units 
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7 Horizontal Shifting Adding a constant to an argument of a   function shifts its graph horizontally.
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8 -4 -3 -2 -1 1 2 3 4 -3 -2 -1 1 2 3 y = x 3 3 3
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9 Horizontal Shifts y = f(x – c) (c > 0), shifts the graph of y = f(x) to the right “c” units y = f(x + c) (c > 0), shifts the graph of y = f(x) to the left “c” units
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This note was uploaded on 05/20/2010 for the course MUSIC APPR 894885838 taught by Professor Kimberlyhousser during the Fall '10 term at LSU.

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Transformations - Transformations of functions 1 Objectives 1 Given a function describe the geometric transformations on that function 2 Given a

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