Transforming Sine and Cosine Functions

Question

1. Create a graph that represents your height relative to the ground as a function of time, using the image below as a guide. Replace the image with your graph. (5 points)

2. Now create a function that represents your height from the ground as a function of time. (5 points)

3.Compare the function from the previous practical and the one above. Explain what the two functions have in common and what is different. Specifically mention the amplitude, period, and any transformations to map the first function to the second. (5 points)

4.If the Ferris wheel stops after 8.5 minutes, how high from the ground would you be? Use the appropriate function from above and show work. (5 points)

5.The Ferris wheel starts again from the position you had in question 4, resetting to time = 0. Create a graph that represents your height relative to the ground as a function of time, using the image below as a guide. Replace the image with your graph. (5 points)

6.Create a new function of the height from the ground as a function of time for the situation in question

Answer 1

Wow this a lot to type. I can help you figure these problems out if you message me for a private tutoring session.

Answer 2

Audrey,

These are fun problems, though there's definitely a lot involved! Here's an example of what this type of problem might look like. I hope it helps!

Ross