The function is .
Rewrite the function.
\.
The standard form of the cosine function is .
Where is the amplitude,
is the vertical shift and
.
Compare the function with
.
and midline is
.
The Amplitude of the Function is .
The period of a cosine function is .
Phase shift of a function is .
The function is .
The amplitude of the function is , so the graph
is in between
and
on
-axis.
The period of the function is .
Therefore, the cosine wave starts from to
The interval of the function is .
Divide the interval into four subintervals, each of length
.
The points are ,
,
,
The end points of the subintervals are
Locate the key points:
\.
Locate few more points for second cycle:
\.
Graph:
\Graph the function .
Draw a coordinate plane.
\Plot the points on the graph.
\Connect the points using smooth curve.
\.
The amplitude of the function is .
The period of the function is .
The phase shift of the function is .
Graph of the function is
.