Question

amplitude period and phase shift of y=5cos(3x-pi/4)

Answer 1

Amplitude is 5

Answer 2

Is there any brackets

Answer 3

thanks....
yes before 3x and after pi/4

Answer 4

Then pi/12

Answer 5

ok is that the period

Answer 6

Yes

Answer 7

ok thank you

Answer 8

If y = Acos(Bx + C), then
A is the Amplitude
(2*pi) / B is the Period
-C/B is the phase shift.

y=5cos(3x-pi/4)
Amplitude = 5
Period = (2*pi) / 3 = \(\large \frac 23 \pi\)
Phase Shift = -(-pi/4)/3 = \(\large \frac {\pi}{12}\)