Answer:
See attachment
Step-by-step explanation:
We want to graph
[tex]y = 2 \cos(x) - 1[/tex]
on the interval (-2π, 2π)
First we graph
[tex]y = \cos(x)[/tex]
Then we stretch vertically by a factor of 2 and shift down 1 unit.
Since the amplitude is 2 and the graph is shifted down 1 unit, the range of the transformed graph is
[tex] - 3 \leqslant y \leqslant 1[/tex]
The graph is shown in the attachment
