00:01
In your question, you're asked to find the period and the phase shift of y equals 2, tangent, parentheses, x plus pi over 2.
00:12
Now, the period formula for a tangent graph is to take pi divided by b, and b is the number that is right here, and if there wouldn't be any parentheses, it's the number multiplied to the x.
00:25
In our case, that's a 1.
00:27
So your period would be pi.
00:30
Pi divided by 1 is pi.
00:33
Now your phase shift is the number that's found here, and that's going to be pi over 2, and a positive causes the graph to move left.
00:45
So there's the two features that you need, and now we want to graph this.
00:50
To graph it, i want to use some formulas for asthmatodes.
00:55
There is a formula for two asthmatodes.
01:08
Bx equals negative pi over 2 and bx equals pi over 2.
01:16
Now since our b value, as stated earlier, is a 1, we have asthmatot locations at negative pi over 2 and x equals pi over 2.
01:28
But there was that phase shift, so we have to take that into account.
01:32
If i move this one, pi over 2 to the left, that's going to move it to x equals negative and if i move this one left, pi over two, it's going to go to x equals zero.
01:48
Now, we are asked to graph this over two periods.
01:53
So let's set this up.
01:57
What i would want to first show is negative pi...