Determine the amplitude, period, and phase shift of the function f(x)=cos (8(x-1))+2

We have been given a function . We are asked to find the amplitude, period and phase shift of the function

We can see that our given function is in form , where,

= Amplitude.

Period =

C = Horizontal shift,

D = Vertical shift.

We can see that value of a is 1, therefore, the amplitude of given function would be 1.

We can see that B is equal to 8, so we will get:

Therefore, the period of given function is .

Since the value of C is 1, therefore, horizontal shift is 1.

Since the value of D is 2, therefore, vertical shift would be 2.

its line 2 i just added the rest or else it wouldn't let me answer