00:01
Okay, we have here the function tan of x minus pi by 4, and the period of the tan function is tan of 1x is simply pi.
00:12
Sign and cosine are 2 pi, tan is 1 pi.
00:16
And the shift is going to be pi by 4 to the right.
00:23
It's counterintuitive.
00:25
You see here negative pi by 4, the whole graph moves right, pi by 4.
00:32
So what we say then is horizontal shift or translation and you just write it like this, pi by four, zero.
00:51
Indicates there's no vertical shift, just horizontal and plus pi by four means pi by four to the right.
01:01
Or just say pi by four to the right.
01:04
Now to graph this, what we do, here we have the x and y axes and normally it would cut here at the origin, but now it's going to cut at here pi by 4.
01:24
The first thing we do are the asymptotes.
01:28
Now is pi by 2 left and right of the centre point.
01:34
So pi by 4 plus pi by 2, well 1 1⁄2 is 1⁄2 is 3 quarters, so 3 pi by 4...