Directions
Answer the following questions on a SEPARATE piece of paper. Be sure to explain your work. (Using your calculator is not an appropriate explanation).
1. For the following, assume the you are given the graph of f. Describe how you would graph the function described.
(a) f(x) + 1
(b) 4f(-x)
(c) (1/10) f(x - 3) - 20
(d) -3f(-x + 7) + 10
(e) 8 - f(4x - 2)
2. Solve 3x4 - 24x3 - 54x2 = 57x + 30.
3. Completely factor f(x) = 3x4 - 24x3 - 54x2 - 57x - 30.
4. Graph by hand g(x) = -2(x + 4)2(x - 1)3 (x - 3). Be sure to include all key features and describe how you got your graph for g. Graph paper is attached.