Today’s mini-problem:
Develop a plan or formula for determining the equation of any sinusoidal function from a diagram/graph.
To help us communicate with one another, let’s use the following standard format for discussing sine/cosine transformations. The general form of a transformed sinusoidal curve will look something like:
y = a sinb(x–c) + d or y = a cosb(x–c) + d
- Post your group’s conclusions about what the letters a, b, c and d represent to the Moodle discussion forum. Remember: your conclusions won’t necessarily be perfect but you must explain your rationale for arriving at them. Where possible, try to link your rationale back to transformations of other curves.
- As a group, come up with one relatively straight forward graph and one whacky one that the other groups will have to solve tomorrow. Post them in the Moodle question bank. Use any method you want to post them – a description in words, a screen shot, a picture of the screen of your graphing calculator.
- Tonight at home, read through some of the other group’s conclusions and respond to at least two of them.
- Tomorrow in class we will be collaborating as a whole class and then practicing our new skills on a variety of questions so come prepared to think and learn.