00:01
Okay, before i do any graphing, i'm going to pull that two -thirds out of the parentheses.
00:08
So dividing by two -thirds, it's like multiplying by three halves.
00:14
So this is going to become pi over two.
00:20
You obviously want to check that.
00:22
You want to multiply it back in.
00:23
Make sure that's right because that's your phase shift, and you don't want that to be wrong.
00:27
Now, your amplitude of this graph is just four.
00:30
The frequency is two -thirds, which means the period is 2 pi over 2 thirds.
00:40
So that's going to give you 2 pi times the reciprocal of 2 -thirds, 3 halves.
00:47
So your period is 3 pi.
00:50
You have a phase shift.
00:53
You're going to start at negative pi over 2.
00:57
And you're going to graph from negative pi over 2 to negative pi over 2 to negative pi over 2 plus three pi.
01:06
So that's negative pi over two to five pi over two.
01:11
We have a vertical shift.
01:16
We're going down three.
01:18
And last but not least, we have a reflection.
01:22
And that's because of that negative in front of the four...