And that will actually be really useful in the future when we talk about inverses and shifting functions.

Shift left

Shift up

Shift down

Shift right

Shift

Shift

And then I'll do another video where I actually shift the hyperbola.

Hatcher's got you working a double shift?

SHIFT and Enter! SHIFT and Enter!

You do x squared plus 1.

One out of every three, every other cycle.

What if there's no (c) and there's no (d), and we've reached the end?

And then let's have the square root of x plus 4.

(Applause)

It might be a little non intuitive that you say minus 4 to shift to the right and plus 2 to shift to the left.

The unit step function is zero until it gets to 2 times t, or of t, so, then it becomes 1 after t is equal to 2, times our function shifted by 2.

(Typing noise) (Typing noise)

But instead of its vertex, or its center or its starting point, or whatever you want to call it, to be at the origin, it's shifted now.

And so essentially, it will shift, it will change the entire demand curve.

I have an e here.

This is the Laplace transform of e to the and what's a? a is what we shifted by.

It's scaled up.

Your shift's over.

Your shift is over.

And that's a bit magical for now, but we'll see why we want to do it, real shortly.

And we established this was our f of t, so we just shifted it by c.

Notice it did exactly what I said. x minus 4 squared was shifted four to the right. x plus 2 squared, was shifted two to the left.

(Laughter)

Laplace transform of, and this one here?

Yes? The new man here worked the night shift.

If U equals 1, all the values are cyclically shifted to the right by 1.

I suspect he was late for his duty shift.

I'm set to open for lunch in 20 minutes and Dawn still hasn't shown up for her shift.

If U equals 3, they are cyclically shifted to the right by 3.

Mutiny. Mutiny.

So we're going to shift it to the left by 4.

Then the right scan line we get to see the following.

So chart 1 had a dot in front of a big (Q).

It's really a very simple algorithm.

But it actually makes a lot of sense.

Let's say, minus 5.

Well, what does she see in him?

But the way to recognize that is that you have this minus of the y squared term and then we actually have it shifted.

So that tells us the radius of the circle is 3.