Question

What is the period of the function `y= -2 cos(4x-pi) -5`?

Answer 1

`pi/2`

Explanation:

In a sinusoidal equation

`y = a cos(bx+c) + d`,

the amplitude of the function will equal `|a|`, the period will equal `(2pi)/b`, the phase shift will equal `-c/b`, and the vertical shift will equal `d`.

So when `b = 4`, the period will be `pi/2` because `(2pi )/4 = pi/2`.