How it works ?
Interact with the applet below for a few minutes. Then answer the questions that follow.
Questions:
1) Consider the function f(x) = sin(x). What are the values of a, b, c, and d for this parent sine function? What is its period? Amplitude?
2) What do the parameters a, b, c, and d do to the graph of the function f(x) = sin(x) under the transformation y = a*sin(bx – c) + d? Explain.
3) Consider the function g(x) = cos(x). What are the values of a, b, c, and d for this parent cosine function? What is its period? Amplitude?
4) What do the parameters a, b, c, and d do to the graph of the function f(x) = cos(x) under the transformation y = a*cos(bx – c) + d? Explain.
5) Try some examples on this worksheet.