Question

y=3sin(2x-4) whats the amplitude, period, and shift

Answer 1

y = a sin(w (x-s))

Answer 2

amplitude 3
period pi
shift 4 (or negative 4, depending on how it's defined in your class)

Answer 3

where period = 2pi/w

Answer 4

you have to factor out the "2" in order to see the shift

Answer 5

... yeah, that depends, too; it may be 2. Good point.

Answer 6

factor the 2 to get the period? but how

Answer 7

I looked into it briefly, I think I had it right: the shift would be 4 (or negative 4, depending on the source), not 2.

Answer 8

I think amistre64 just meant by "factor out the '2'" to write 3sin(2(x-2)).

Answer 9

Just be sure to check the above carefully against your reference(s) (class notes and/or textbook). The shift amount could be defined according to a sum (sin(a+b)) or difference (sin(a-b)) argument to the sin. That will determine whether to say the shift is (b=) -4 or 4.

Answer 10

in my book the asnwer is 2

Answer 11

T = 2pi/ w
= 2pi/ pi = 2