Chapter 5.3 Graphing Trig Functions

Chapter 5.3 Graphing Trig Functions

Basic Sine and Cosine Functions

•  $y=a\sin k\left(x-b\right)+d$  

•  $y=a\sin k\left(x-b\right)+d$  

•  $a\ \ \ \ \left|a\right|=amplitude$  

•  $k\ \ \ \ k=number\ of\ cycles\ from\ 0\ to\ 2\pi$ 

•  $b\ \ \ \ b=horizontal\ shift$  

•  $d\ \ \ \ \ d=vertical\ shift$  

•  $Period=\frac{2\pi}{k}$  

Open Ended

What is the difference between k and the period?