Answer
please see image
Work Step by Step
15
1. Start with the parent function $f_1(x)=\cos x$
(Graph:red dashed , amplitude 1, period $ 2\pi$)
If plotting by hand, use Table 2 on page 420 to plot 13 points on $[0,2\pi]$,
2. The graph of $g(x)=3+3f_{1}(x)$ is obtained by
vertically stretching by factor 3, (green, dashed)
and shifting upwards by 3 units.
The new amplitude is 3. Period remains same.
Using the table in step 1,
multiply each y-coordinate with 3 and add 3.
Plot the points $(x, 3+3f_{1}(x))$
and join points with smooth curve (black).
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Graphing utility used: online calculator desmos.com.
The "wrench" button is used to set viewing window settings:
radians, step $\pi/4$, ...
The accompanying table gives a sufficient number of points for graphing by hand.