00:01
Okay, so i have this graph over here, and we're going to call this f of x, and i want to make some changes to f of x and describe what the new graph will look like.
00:16
All right, so our first one that we have is f of x plus two, and i think of f of x as just y, which means we just want y plus two.
00:26
So to graph that new one, i would take each of my points, and each of my y values would need to go up by two.
00:35
And then i would graph my new one.
00:37
So this is a graph that is shifted up two.
00:41
Now for each of these, i'm going to have to erase so that i have room to show you.
00:49
But our next one, let's look at letter b, that's x plus 2.
00:54
Now, an x plus 2, that's going to be a left shift of 2.
01:00
So that means each of my x values needs to move over two.
01:11
And once they're all shifted over two, i can go ahead and graph.
01:16
All right, and that shows our left shift of two.
01:20
Okay, our next one that we have, we have a negative f of x.
01:26
And for that one, that's going to be a, all the ys are changing to their opposites.
01:31
So instead of a negative four here, it's going to be up here at the top.
01:36
Instead of a positive 4, we're going to shift that to the bottom.
01:39
So again, negative ys.
01:42
And so i graph that, and there is my new graph.
01:46
So just a reflection over the x -axis.
01:51
Okay, let's go to our next one.
01:53
So now we have some combos.
01:57
Let me go ahead and erase what i had here.
02:01
Okay, so the next one, i have a plus one, which means i want to go left one.
02:07
And then i have a minus one, which means i want to go down one.
02:11
So each one of my points, i need to go left one and down one.
02:15
Left one, down one, left one, down one, and then left one down one.
02:22
Okay, and then i go ahead and graph, and there's my new graph...