need help with the following with explanations

. . . X Page 69: problems 2, 16, 18, 36, 40, 42, 44, 48, and 50 42. y = -2f(x - 1) In Problem 2, find the following: For the functions f in Problem 44, graph: 2. f(x) = x - 2 and g(x) = x2 + 8 (a) f(x + 2) (b) f (x - 1) Simplify the quantities in Promblems 16, 18 using m(z) = z^2. (c) f(x) - 4 16. m(z + 1) - m(z) (d) f(x + 1) + 3 18. m(z) - m(z - h) (e) 3f(x) 36. The Heaviside step function, H, is graphed in Figure 1.93. Graph the following functions. (f) -f (x) + 1 H(x) X Figure 1.93 x (a) 2H(x) -2 -10 1 2 (b) H(x) + 1 In Problems 48,50, use Figure 1.95 to graph the function (c) H(x + 1) (d) -H(x) y = f(x) (e) H(-x) In Problems 40-42, use Figure 1.94 to graph the function. y -5 -4 -3 -2 -1 1 2 3 4 5 Figure 1.95 y = f(x) 48. y = f(x - 1) X 50. y = 2f(x) - 1 -3 -2 -1 2 3 Figure 1.94 End of document 40. y = f(x + 1) - 2