What is the amplitude, period and the phase shift of #y=cos2x#?

1 Answer
Mar 29, 2018

Amplitude is 1
Period is halved and is now #pi#
No phase shift has happened

Explanation:

#Asin(B(x-C))+D#

A~Vertical stretch (Amplitude)
B~Horizontal stretch (period)
C~Horizontal translation (phase shift)
D~Vertical translation

So the A is 1 which means the amplitude is 1
So the B is 2 which means the period is halved so it is #pi#
So the C is 0 which means it hasn't been phase shifted
So the D is 0 which means it hasn't been upwards