Question

Find the period of f(x)=4 cos(x-2)-1

Answer 1

the horizontal shift doesn't affect the period
the only thing that affects the period is the number x is multiplied by

Answer 2

$$ period = \cfrac{regular period}{x \ \ coefficient} $$

Answer 3

the number in front of the x is 1 so..
\[\frac{ 2\Pi }{ 1 }\]

Answer 4

\(\cdots = 2\pi\)