Question

Determine Amplitude/period/phase shift /graph function. over 1 period.
Indicate xintercepts and coordinates of Hi/low points on graph.

y = cos (2x - pi/3) +1
y = A ( Bx - C )
so Amplitude is 1
Period: 2pi/B--> 2pi/2 = Pi

Okay is my phase shift right?
Phaseshift = C/B
pi
----
3
--------------- = pi/6?
2

Answer 1

looks good to me
i never remember the formula, so i set \(2x-\frac{\pi}{3}=0\) and solve for \(x\)

Answer 2

this also help me remember whether the graph has moved left or right. in this case you get \(x=\frac{\pi}{6}\) so it is shifted to the right

Answer 3

oh!, okay so since it was positive it goes right, right?
I thought if if was negative it goes right?? i am still confused on how they shift.