Question

determine the amplitude, period, and phase shift of the following functions: y=3cos(2x-pi), y=3sin(2x-pi),y=-5sin(2x=pi over 2)

Answer 1

if a sine of cosine curve is of the form
y = a sin k(θ + c) + p
you should memorize what what each of the a, k, c, and p represent

None of your given functions have any verical shifts
for all of them |a| is the amplitude
the period is 2π/coefficient of x

the only difficulty I see is the phase shift.
Notice that in the general form we have
sin k(θ + c) , that is, the k must be divided out

So for y=3cos(2x-pi)
we change it to
y=3 cos 2(x-π/2) , so the sphase shift is π/2 to the right.

the other equations present the same problem

Answer 2

reiny r u a tutor ?

Answer 3

Yes, I am one of the volunteer tutors on this site, we do not any definite time when you will find us.
I answer mostly Math questions