00:01
Sketch the function k of x is equal to x minus two cubed minus one as a series of transformations on a toolkit function.
00:13
So taking a look at our function and the list of our toolkit functions, we find that our toolkit function that we're going to look at is x cubed.
00:24
And looking at it, we see that it's going to look something like this.
00:27
We cross right through the origin, start in the third quarter.
00:33
Quadrant come up, level off at origin, and then go back up.
00:39
Okay? so when i do a transformation on this function, i like to consider that spot right where it goes through the origin as an anchor point.
00:46
Okay? so that's going to put us at zero, zero.
00:51
Okay? so i'm going to consider how the transformations affect that point and then the points around it.
00:58
Okay, so we come in on and look over at our transformed function and we see we've got a minus 2 on the inside of our parentheses here, we've got a minus 1 on the outside.
01:10
So we're going to take that minus 2 as a horizontal shift to the right two units...