#### Answer

Refer to the graph below.

#### Work Step by Step

Write the given equation in the form $y=c+a\cdot \cos{[b(x-d)]}$ to obtain:
$y=4+[-3\cos{(x-\pi)}]$
Find one interval of the given function whose length is one period:
\begin{array}{ccccc}
&0 &\le &x-\pi&\le &2\pi
\\&0+\pi &\le &x-\pi+\pi &\le &2\pi+\pi
\\&\pi &\le &x &\le &3\pi
\end{array}
Thus, one interval of the given function is $[\pi, 3\pi]$.
Dividing this interval into four equal parts yield the key x-values $\pi, \frac{3\pi}{2}, 2\pi, \frac{5\pi}{2},$ and $3\pi$.
To graph the given function, perform the following steps:
(1) Create a table of values for the function $y=4+[-3\cos{\left(x-\pi\right)}]$ using the key x-values listed above.
(Refer to the table below.)
(2) Plot each point in the table then connect them using a sinusoidal curve.
(Refer to the attached graph in the answer part above.)