In each exercise 1-8 below you are given two plots and each plot contains two graphs, a red reference function f(x) , and a blue shifted function g(x) .

Plot 1. On the first plot of each exercise, your red reference function f(x) is an unshifted sine function, your blue function g(x) is a shifted sine function (obtained from the red function), and you are to write down the correct expression (formula) for each one.

Plot 2. On the first plot of each exercise, your red reference function f(x) is an unshifted  cosine function, your blue function g(x) is a shifted cosine function (obtained from the red function), and you are to write down the correct expression (formula) for each one.

Exercise 1. Sine Model  

Exercise 1. Cosine Model

Exercise 2. Sine Model  

Exercise 2. Cosine Model

Exercise 3. Sine Model  

Exercise 3. Cosine Model

  Exercise 4. Sine Model

Exercise 4. Cosine Model

  Exercise 5. Sine Model

Exercise 5. Cosine Model

  Exercise 6. Sine Model

Exercise 6. Cosine Model

  Exercise 7. Sine Model

Exercise 7. Cosine Model

Exercise 8. Sine Model

Exercise 8. Cosine Model

In each exercise 9-16 below you are given only one plot and each plot contains two graphs, a red reference function f(x) , and a blue shifted function g(x) . In each of these exercises you need find the functions for only one model, sine or cosine, and the one you should use is indicated in each exercise.

  Exercise 9. Sine Model

  Exercise 10. Cosine Model

  Exercise 11. Sine Model

  Exercise 12. Cosine Model

  Exercise 13. Cosine Model

  Exercise 14. Sine Model

  Exercise 15. Cosine Model

  Exercise 16. Cosine Model