Answer
Refer to the graph below.
Work Step by Step
RECALL:
The function $y=a \cdot \cos{x}$ has:
period = $2\pi$
amplitude = $|a|$
The given function has $a=-2$.
Thus, it has:
period = $2\pi$
amplitude = $|-2|=2$ (which means that the values of the function vary from $-2$ to $2$
One period of this function is in the interval $[0, 2\pi]$.
Divide this interval into four equal parts to obtain the key x-values $0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi$.
To graph the given function, perform the following steps:
(1) Create a table of values using the key x-values listed above. (Refer to the table below.)
(2) Plot the points from the table of values and connect them using a sinusoidal curve. (Refer to the graph in the answer part above.)
