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Unformatted text preview: c circlecopyrt Kendra Kilmer January 4, 2012 Section 1.3  New Functions from Old Functions Example 1: Graph the following functions on the appropriate graph below and describe the transformation. a) g ( x ) = x + 4 b) g ( x ) = ( x − 3 ) 2 c) g ( x ) = 4 x 3 d) g ( x ) = − 1 2 √ x e) g ( x ) = √ − x f) g ( x ) = vextendsingle vextendsingle vextendsingle vextendsingle 1 2 x vextendsingle vextendsingle vextendsingle vextendsingle f ( x ) = x f ( x ) = x 2 f ( x ) = x 3 f ( x ) = √ x f ( x ) = √ x f ( x ) =  x  13 c circlecopyrt Kendra Kilmer January 4, 2012 Transformations Vertical and Horizontal Shifts: Suppose c > 0. To obtain the graph of • y = f ( x )+ c , shift the graph of y = f ( x ) a distance c units . • y = f ( x ) − c , shift the graph of y = f ( x ) a distance c units . • y = f ( x − c ) , shift the graph of y = f ( x ) a distance c units . • y = f ( x + c ) , shift the graph of y = f ( x ) a distance c units ....
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This note was uploaded on 04/01/2012 for the course MATH 131 taught by Professor Allen during the Fall '08 term at Texas A&M.
 Fall '08
 Allen

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