Question

Graphs of two trigonometric functions are shown below.

http://assets.openstudy.com/updates/attachments/500db539e4b0ed432e102e76-mathfreak106-1343075661004-capture.png

Answer 1

Part I: Compare the periods of the two functions. (4 points)






Part II: The solid graph is the graph of one of the six main trigonometric functions. Which of the six is it? How do you know this? (4 points)





Part III: The dotted graph is a transformation of the solid graph. It shows a vertical stretch and a horizontal stretch. What are the two stretch factors for the dotted graph? (4 points)





Part IV: Take your answers to Part I and Part II and apply the transformation from Part III to generate the function that produces the dotted graph. (6 points)