# Graphing Sine & Cosine Functions (II)

- Author:
- Tim Brzezinski

- Topic:
- Cosine, Functions, Function Graph, Sine, Trigonometric Functions

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.