​ This problem is a checkpoint for writing equations of and graphing trigonometric functions.  

1. Write an equation for the graph below.
   

2. Graph two cycles of $y=-2\cos(x)+1$.

3. Write the equation of your graph from part (b) as a transformation of the sine function.

Check your answers by referring to the selected answers.

Ideally at this point you are comfortable working with these types of problems and can complete them correctly. If you feel that you need more confidence when completing these types of problems, then review the Graphs of Trigonometric Functions Checkpoint materials and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.