If
is any real number and
, then the graphs of
and
will have the following characteristics :
Amplitude :
.
Period :
.
Horizontal shift :
.
Phase :
.
The trigonometric function is
.
Consider
.
Compare the function with
.
and
.
Amplitude :
.
Period :
.
Horizontal shift :
.
Phase :
.
Draw a coordinate plane.
\Graph the function
. \ \
Graph :
\.gif\")
Amplitude :
.
Period :
.
Horizontal shift :
.
Phase :
.
Graph of the function
is :
.gif\")