292 CHAPTER 2 Graphs and Functions 14. Concept Check Match each equation with the sketch of its graph in A–I. (a) y = 0 x - 20 (b) y = 0 x 0 - 2 (c) y = 0 x 0 + 2 (d) y = 2 0 x 0 (e) y = -0 x 0 (f) y = 0 -x 0 (g) y = -2 0 x 0 (h) y = 0 x - 20 + 2 (i) y = 0 x + 20 - 2 A. x y 0 –2 2 2 B. x y 0 –2 (–2, –2) –2 C. x y –2 0 –2 2 D. x y –1 0 2 1 E. x y 0 –1 –2 1 F. x y 0 (2, 0) 2 4 G. x y 0 –2 2 –2 H. x y 0 –2 2 4 (0, 2) I. x y 0 2 4 (2, 2) 16. Concept Check Describe how the graph of ƒ1x2 = 21x + 123 - 6 compares to the graph of y = x3. Graph each function. See Examples 1 and 2. 17. ƒ1x2 = 3 0 x 0 18. ƒ1x2 = 4 0 x 0 19. ƒ1x2 = 2 3 0 x 0 20. ƒ1x2 = 3 4 0 x 0 21. g1x2 = 2x2 22. g1x2 = 3x2 23. g1x2 = 1 2 x2 24. g1x2 = 1 3 x2 25. ƒ1x2 = - 1 2 x2 26. ƒ1x2 = - 1 3 x2 27. ƒ1x2 = -30 x 0 28. ƒ1x2 = -20 x 0 15. Concept Check Match each equation in Column I with a description of its graph from Column II as it relates to the graph of y = 23 x. I (a) y = 423 x (b) y = -23 x (c) y = 23 x + 4 (d) y = 23 x - 4 (e) y = 23 x - 4 II A. a translation to the right 4 units B. a translation down 4 units C. a reflection across the x-axis D. a translation up 4 units E. a vertical stretching by a factor of 4
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