1. 6.5Notes.notebook April 05, 2013
Apr 5­12:26 PM
Apr 5­12:30 PM
1

2. 6.5Notes.notebook April 05, 2013
6.5 Graphing Trigonometric Functions
Now that we have studied transformations we can
apply these rules to trigonometric functions.
Review:
y=sin(x)
Domain:_________
Range: _________
Period: ________
Maximum: ______
Minimum: ______
Amplitude: ______
x intercepts: ______
Apr 12­5:31 PM
Apr 5­12:28 PM
2

3. 6.5Notes.notebook April 05, 2013
Review:
y=cos(x)
Domain:_________
Range: _________
Period: _________
Maximum: ______
Minimum: ______
Amplitude: ______
x intercepts: ______
Apr 12­5:31 PM
Apr 5­1:00 PM
3

4. 6.5Notes.notebook April 05, 2013
Review:
y=tan(x)
Domain:_________
Range: _________
Period: _________
Maximum: ______
Minimum: ______
Amplitude: ______
x intercepts: ______
Apr 12­5:45 PM
Apr 12­6:07 PM
4

5. 6.5Notes.notebook April 05, 2013
Draw quick sketches of the above. Notice that b) also has a reflection!
Apr 12­6:09 PM
Remember for y=f(bx) that b results is a compression by 1/b.
Therefore y=sin(bx) means the period of 2 (or for tan)
is compressed or stretched into (again for tan) . If b is >1 the period is
compressed. If 0<b<1 then the period is stretched.
b represents the number of complete cycles (periods) in 2 (or )
Apr 12­6:10 PM
5

6. 6.5Notes.notebook April 05, 2013
Extra practice on this very important
concept:
Apr 12­6:10 PM
Other transformations follow earlier rules:
Apr 12­6:07 PM
6

7. 6.5Notes.notebook April 05, 2013
Note the x axis on this
graph uses number values
that relate to
Apr 13­8:39 AM
Apr 13­8:39 AM
7

8. 6.5Notes.notebook April 05, 2013
HOMEWORK: Pg. 521 #3,4,5
#6,8 (both in class)
#7,9
Mult. Ch #1,2
Apr 12­6:26 PM
Apr 12­6:27 PM
8