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

1 Answer
lechugamaestro19
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

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