What is the amplitude, period, phase shift and vertical displacement of y=2sin(2x-4)-1?

1 Answer
Feb 20, 2018

See below.

Explanation:

When y = asin(bx+c)+d,

amplitude = |a|
period = (2pi)/b
phase shift = -c/b
vertical shift = d

(This list is the kind of thing that you have to memorize.)

Therefore, when y=2sin(2x-4)-1,

amplitude = 2
period = (2pi)/2 = pi
phase shift = -(-4/2) = 2
vertical shift = -1