1. More Trig – Graphing Trig Functions
Learning Objective: To graph the sin, cos and tan functions and their transformations
Warm-up (IN)
Evaluate. Give exact values.

2. Learning Objective: To graph the sin, cos and tan functions and their transformations
Notes
Cool graphs!

3. Trig functions are periodic - they repeat
Learning Objective: To graph the sin, cos and tan functions and their transformations
Trig functions are periodic
- they repeat
Cycle -
A portion of the graph of the function from one point on the graph to the point at which the graph starts to repeat itself
Period -
The number of degrees taken to complete one cycle
The period of the sin and cos graphs are
360˚
Amplitude -
The distance from its axis to the highest or lowest point
The amplitude of the sin and cos graphs is 1

4. b = horizontal stretch/ compression (phase shift)
Learning Objective: To graph the sin, cos and tan functions and their transformations
h = horizontal shift
a = amplitude
b = horizontal stretch/
compression
(phase shift)
k = vertical shift
(changes period by a
factor of )

5. Learning Objective: To graph the sin, cos and tan functions and their transformations
Ex 1 -
Describe the transformations, then graph at least one period with its parent function.
The amplitude is 1/2

6. Learning Objective: To graph the sin, cos and tan functions and their transformations
The period is

7. Learning Objective: To graph the sin, cos and tan functions and their transformations
Shifts right 45˚

8. Learning Objective: To graph the sin, cos and tan functions and their transformations
Shifts down 2

9. Out – Compare and contrast the graph of with the graph of .
Summary – I have a question about…or… Wow! I…
HW – p. 864
#11-39 ODD