Transformations of Functions Math 220 Spring 09 Figure 1 The graph of the functionf x x3 3x 1 Figure 2 f x 2 on the left and f x 2 on the right 1 Figure 3 2f x on the left and 12 f x on the right Figure 4 f x2 on the left and f 2x on the right Notice that f cx squishes the graph when c 1 and stretches the graph when 0 c 1 If c 0 we take the graph of f c x and reflect it across the y axis Similarly for c 0 to graph cf x we take the graph of c f x and reflect it across the x axis 2 Figure 5 f 2x on the left and f 2x on the right 3
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