00:01
Okay, so we want to graph a new sound function given the following conditions.
00:07
I've graphed the normal sound function.
00:10
Normal sign function has an amplitude of one, a period of 360.
00:13
So you'd start at 0 ,0.
00:16
At 90 degrees, you go up to 1, 180 you're back at 0, 270 you're back at negative 1, and 360 you're back at 0.
00:25
That is a period of 360.
00:27
We want our period to be 5, but we also are going to do a shade.
00:32
A phase shift of 2 .5 left.
00:35
So we need to figure out our divisions.
00:38
We have to have five equal partitions.
00:41
So it's the first thing that we're going to do.
00:45
So we would have normally started the origin is where our sign function normally starts.
00:50
We're going to go 2 .5 to the left.
00:53
One, two, that's negative three.
00:58
So 2 .5.
01:00
Actually, let me erase that.
01:07
We're just going to make one little number here and we're going to call that negative 2 .5.
01:12
We want our period to be 5.
01:14
So i need to go from 2 .5 and the total distance has to be 5.
01:19
So in your calculator, or just in your brain, you're going to take negative, you're going to take 5, sorry, minus 2 .5, be a positive 2 .5.
01:41
Okay.
01:42
So if you add the distance from 2 .5 to the origin and the origin to positive 2 .5, that's a distance of five.
01:49
That gets my period to my five.
01:51
That gets my phase shift of 2 .5 to the left.
01:55
So we're going to start and negative 2 .5.
01:57
We're going to end at positive 2 .5.
01:59
So we need five equal divisions.
02:01
Like i said, just a few minutes ago...