00:01
All right, so with each of these ordered pairs that you would get with a, what i'm doing is taking each order pair that they give me.
00:08
I'm following the transformation.
00:10
So we're vertically compressed by a factor of one -half, so the y value is half.
00:16
And then we are compressed by one -fifth, so x is one -fifth.
00:22
And then it says to the left six, so minus six.
00:27
So i'm just going to write these order pairs at once.
00:35
I don't want to write them over and over again, but yeah.
00:38
So i'm doing each one of these.
00:40
So negative 1 5th minus 6.
00:43
I would just write it as negative 6 of 1 5th.
00:47
And then half of negative 1.
00:48
I'm just taking each of these and plugging them in for x and y.
00:52
So that's negative 1 .5.
00:54
So over here, 1 5th of 0 minus 6 is negative 6, and half of 0 is still 0.
01:01
And here i'm going to get two -fifths minus six, which would be negative five and, what i say, two -fifths would be three -fiths, and half of eight would be four.
01:14
So these would be mixed numbers.
01:17
I don't know if you like mixed numbers, but there you go.
01:20
So b, we're going to do the transformation where if we're reflected in the x, sorry, in the y -axis, that's negating x.
01:28
If it's horizontally stretched by a factor of 2, that would be 2x.
01:33
And then y needs to be up 3.
01:37
So i'm taking these points again.
01:40
So negative 1 times negative 2 is positive 2, and then negative 1 plus 3 would be positive 2.
01:46
And then the next 1, negative 2 times 0, 0 plus 3 is 3.
01:51
And then 2 times negative 2 is negative 4.
01:55
And then what is that? 8 plus 3 would give me 11.
02:00
So i just have to do this over and over again with the points that they give me.
02:04
So maybe i can go a little bit faster.
02:07
So if you're reflected over the x -axis, that's negating y.
02:13
Vertically stretched by a factor of 3.
02:15
So we should have left some room to put a 3 there.
02:18
Horizontally translated to the right 4, so x needs to be plus 4.
02:24
Vertically translated half a unit down, so minus 1 half here.
02:28
So remember the border pairs that we have...