00:01
Let me just point out a few key points on this problem.
00:04
The 0, 0, the 2, negative 4, and then there's one more point of 4, negative 2.
00:18
And what you need to know in this problem as you go to graph, how do they name it, f of 2x, is that what's going to happen from up here to down here is you have a horizontal compression, or shrink, i like the word compression, by a factor of 1 half.
00:42
It's the reciprocal of this number.
00:44
So that 0, 0 actually isn't going to change, but this x value of 2 is going to go down to 1.
00:52
So the 0 stays the same, 1, and then you do half of 4, which takes me to 2.
01:00
Now those three y -coordinates, the 0, the negative 4, and the negative 2, they don't change.
01:06
0, negative 4, and negative 2.
01:09
Now let's just go ahead and connect those dots.
01:11
So it's a much narrower graph than what you saw up there.
01:15
And i would do something very similar with the next one, y equals 1 half g of x, except now the points are a little bit different...