Answer the
following questions dealing with graphs of trigonometric functions.
Double check using your graphing calculator.
1. 
Determine an equation for this
graph:



2. 
Determine an equation for this
graph:



3. 
Determine an equation for this
graph:



4. 
Determine an equation for this
graph:



5. 
On the same set of axes from 0 to
, graph:



6. 
On an axes from 0 to
, graph:
.
Where on the graph does the graph reach its
maximum value(s)?



7. 
On the same set of axes from 0 to
, graph:
How many points satisfy the equation
?



8. 
On the axes from 0 to
, graph:
.
State the amplitude, frequency and period of this
graph.



9. 
On the same set of axes,
, graph:
.
Find all values for which
.



10. 
A small toy attached to the end of a slinky
(or spring) bobs up and down according to an equation of the
form
d = a cos(bt).
The motion of the toy starts at its highest position of 5 inches above
its rest point, bounces down to its lowest position of 5
inches below its rest point, and then bounces back to its
highest position in a total of 4 seconds. Write an equation that
represents this motion.Graph your
equation from t = 0 seconds to t = 12 seconds.





