Question

y= - cos(pi/3(x) + pi)
Find the amplitude, period, and phase shift please

Answer 1

amplitude is easiest, it is the absolute value of the coefficient out front
since \(|-1|=1\) the amplitude is \(1\)

Answer 2

period is \(\frac{2\pi}{b}\)
in your case \(b=\frac{\pi}{3}\)

Answer 3

compute
\[\frac{2\pi}{\frac{\pi}{3}}\]to get your period

Answer 4

i don't know how to find the phase shift with a formula
maybe @freckles does

Answer 5

you can find it without a formula by setting
\[\frac{\pi}{3}x+\pi=0\] and solve for \(x\)

Answer 6

Thank you so much!!!

Answer 7

yw

Answer 8

@freckles could you help me find the phase shift?

Answer 9

the way satellite suggested is the way I would find phase shift

Answer 10

Okay thank you!!

Answer 11

Does -3 sound right?

Answer 12

@freckles or @satellite73

Answer 13

Nevermind