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 :
\Amplitude : .
Period : .
Horizontal shift : .
Phase : .
Graph of the function is :