Preview - Modeling U.S. Census Housing Data With Sinusoidal Functions

Activity 2: Transformations of Sinusoidal models

The purpose of this activity is to understand how the parameters A, B, C, and D impact the graph of y = Asin(Bx+C)+D and how replacing D with a linear expression in the form mx+b affect the shape of the curve.

Questions

Please answer the questions below.

Go to the website https://www.desmos.com/calculator.  In the upper left hand corner, type in the equation y = Asin(Bx+C)+D as shown below. 

Sliders can be created for all the parameters.  Change the value of the parameters to see how they affect the shape of the graph.  Record your observations:

1)  How does the graph change as you change the value of parameter A?

2)   How does the graph change as you change the value of parameter B?

3)   How does the graph change as you change the value of parameter C?

4)   How does the graph change as you change the value of parameter D?

Replace parameter “D” with the expression “mx + b” into the Desmos calculator as shown below. 

Adjust the values of “m” and “b”.  How does modifying the parameters m and b impact the shape of the curve?

Notes

These notes will appear on every page in this lesson so feel free to put anything here you'd like to keep track of.