00:01
This problem wants us to write the equation of a sine function that has the following characteristics.
00:04
An amplitude of 7, a period of 5pi, and a phase shift of 1 fourth.
00:09
And the thing we need to be careful about here is that the blanks that we're trying to fill in is y equals blank times sine.
00:16
And we do have the correct value for our amplitude, which is 7.
00:19
But what's a little tricky here is the blanks that we have to fill in for sine are showing our b value being multiplied through our input.
00:26
And we are going to get our answer to that point eventually, but if we accidentally find our b value and we just list our h value, phase shift is 1 fourth, we're going to get the wrong function because that is assuming that the b value has already been multiplied through.
00:42
And that's not what we're going to use to be able to write this function because when we write our function, we are going to replace a with 7.
00:49
And then we have times sine times our b value, and our b value comes from our period because the period in general of sine is 2pi over b.
01:00
And that is supposed to turn into 5pi...
