state the period amplitude if applicable and vertical shift

state the period, amplitude, if applicable), and vertical shift (if applicable) for each function. don\'t not show graph.
9. y=16cos(10x-2pie)-8.
what is amplitude
period
phase shift
vertical shift?

Solution

We can have all of them in one equation:

y = A sin(Bx + C) + D or y = A cos(Bx + C) + D ----------> (1)

given  y=16cos(10x-2pie)-8

Therefore A= 16 and period P = 2/B = 2/10 ==> /5

phase shift = C/B =-(- 2)/10 = /5

vertical shift is D = -8