00:02
I'm going to pull out the important information from this graph and then graph it.
00:08
So before i do, that number two in front of the t or the x or whatever the variable is in your function, that needs to come outside the parentheses.
00:21
Okay, so factoring out two, dividing by two times a half, they all mean the same thing.
00:27
Just make sure, you know, do a quick double check of distributing it back and make sure, especially for whatever you're adding or subtracting to your variable, that that's correct.
00:38
Okay, so this is going to be the function i'm going to be pulling my information out of.
00:43
The amplitude is just three.
00:46
That's the number in front the function.
00:51
The period is 2 pi over the frequency.
00:56
In this case, the frequency is 2.
00:59
So the period is just 1 pi.
01:04
I have a vertical shift.
01:08
That's what i'm subtracting from that function so i'm going down one i have a phase shift that's whatever is being added or subtracted to the variable if it's adding that means you're going left so my graph is going to start at negative pi over four and one period is going to be the phase shift plus one period so i'm going to be stopping at 3 pi over 4 to show one period.
01:45
Okay, so let's get ready to graph.
01:48
I'm going to start with my x -axis.
01:51
So here's negative pi over 4, and 3 -pi over 4 would be like right here.
02:01
I need a halfway point.
02:04
So that's going to be the midpoint of the segment that joins the start and the stop.
02:12
So negative 1 -4th and 3 -4ths is 2 -4th.
02:16
Times a half is 2 eighths.
02:18
So this is just pi over four.
02:21
I'm going to move that over just a little bit.
02:24
It's annoying me that it's so close here.
02:26
So that should be right here and that's pi over four...