294 CHAPTER 2 Graphs and Functions 92. Concept Check What is the relationship between the graphs of ƒ1x2 = 0 x 0 and g1x2 = 0 -x 0 ? Work each problem. See Example 9. 93. Given the graph of y = g1x2 in the figure, sketch the graph of each function, and describe how it is obtained from the graph of y = g1x2. 3 –3 0 2 –2 x y y = g(x) (a) y = g1-x2 (b) y = g1x - 22 (c) y = -g1x2 (d) y = -g1x2 + 2 94. Given the graph of y = ƒ1x2 in the figure, sketch the graph of each function, and describe how it is obtained from the graph of y = ƒ1x2. 3 0 –3 –1 2 4 –2 x y y = f(x) (a) y = -ƒ1x2 (b) y = 2ƒ1x2 (c) y = ƒ1-x2 (d) y = 1 2 ƒ1x2 97. 1 x y –3 –1 5 0 98. 4 2 4 0 x y Connecting Graphs with Equations Each of the following graphs is obtained from the graph of ƒ1x2 = 0 x 0 or g1x2 = 2x by applying several of the transformations discussed in this section. Describe the transformations and give an equation for the graph. 95. 1 4 1 4 0 x y 96. x y 1 1 0 80. ƒ1x2 = -31x -222 +1 81. ƒ1x2 = 2x + 2 82. ƒ1x2 = 2x - 3 83. ƒ1x2 = -2x 84. ƒ1x2 = 2x - 2 85. ƒ1x2 = 22x + 1 86. ƒ1x2 = 32x - 2 87. g1x2 = 1 2 x3 - 4 88. g1x2 = 1 2 x3 + 2 89. g1x2 = 1x + 323 90. ƒ1x2 = 1x - 223 91. ƒ1x2 = 2 3 1x - 222
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