Please do 6, 14, 24, 38 and 40

(a) f(x) = 1x| +c (b) f(x) = 1x-cl 6. Shifting the Graph of a Function For each function, sketch the graphs of the function when c = -3, -2, 2, and 3 on the same set of coordinate axes. ( a) f ( x) = Vx+ c ( b) f (x) = \x-c - 14. Writing Equations from Graphs Use the graph of f(x) = x to write an equation for the function represented by each graph. (a) ( b ) 2 4 5 8 10 2 -10- -10- maHmm Writing Fanations from Granhs In Describing Transformations In Exercises 21-38, g is related to one of the parent functions described in Section 1.6. (a) Identify the parent function f. (b) Describe the sequence of transformations from f to g. (c) Sketch the graph of g. (d) Use function notation to write g in terms of f. 21. g(x) = x2 + 6 22. 8(x) = x2 - 2 23. 8(x) = -(x - 2)3 24. 8(x) = - (x + 1)3 25. g(x) = -3 - (x + 1)2 26. 8(x) = 4 - (x - 2)2 27. g(x) = x - 1+2 28. g(x) = |x + 31 - 2 29. g(x) = 2 x 30. 8 31. g(x) = 2[x] - 1 32. g(x) = -[x] + 1 33. 8(x) = 12x 34. 8(x) = 2x 35. g(x) = -2x2 + 1 36. 8(x) = 5x2 - 2 37. g(x) = 3/x - 1| + 2 38. g(x) = - 2/x + 11 - 3 Writing an Equation from a Description In Exercises 39-46, write an equation for the function whose graph is described. 39. The shape of f(x) = x2, but shifted three units to the right and seven units down 40. The shape of f(x) = x2, but shifted two units to the left, nine units up, and then reflected in the x-axis 41. The shane of f(r) = 13 but shifted 13 units to the right