In this section you will learn to sketch the graphs of sine and cosine functions. To graph the function it is easiest to find the intercepts, the maximum points, and the minimum points in one period (there should be 5 key points). By doing this, it will help you find the amplitude and period of the function as well. In this section you will also learn the effects of each constant in the parent functions. To make all this more clear there is definitions and the parent functions located below.

PWL 4.5 and AM 8.2 and 8.3

Graphing Trig Functions
Graphing Techniques

- period: the distance it takes to complete one cycle (period=2pi/B)
- amplitude: the distance from the axis of wave to the maximum or minimum (lAl)
- 1/4 period: where each key point is located (label on x axis)
- reflected: a reflection in x-axis [y=f(x)]

Parent Function:
A is the amplitude
B is used to find the period of the graph
H is the horizontal shift
K is the vertical shift

Sin Graph:
sin, intercept, high, intercept, low, intercept
reflected: SILIHI

Cos Graph:
cos, high, intercept, low, intercept, high
reflected: CLIHIL