Question

Use transformation (-2pie,2pie) with Y=2cos(x)-1

Answer 1

See attachment

Explanation:

We want to graph

`y = 2 \cos(x) - 1`

on the interval (-2π, 2π)

First we graph

`y = \cos(x)`

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

`- 3 \leqslant y \leqslant 1`

The graph is shown in the attachment