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

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

Well, then this will just shift this Laplace transform by 1.

So when you take something to the negative times 10 to the negative power, you shift the decimal to the left.

It's scaled up.

I suspect he was late for his duty shift.

You do x squared plus 1.

I didn't give price why don't I just hold off a little bit and wait a little bit so it's going to lower demand so in this scenario the whole curve will shift to the left at any given price point the quantity demanded will go down at any point of that curve, so the entire demand curve will be shifted to the left, so because of senario two demand was decreased.

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.

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

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.

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.

Let's say, minus 5.

I have an e here.

Shift

Shift

(Typing noise) (Typing noise)

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.

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

Laplace transform of, and this one here?

We go over both of these fields or any number of fields that exists over here.

Well, let's just do this the fast way.

Shift left

Shift up

Shift down

Shift right

Hatcher's got you working a double shift?

SHIFT and Enter! SHIFT and Enter!

Dirac delta function.

Here, the next input token is a (b).

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

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

Then the Laplace transform of e to the 2t times t the third is going to be this shifted.

left, and you would have to add another 0.

But let's say e to the yeah I'll just write it e to the 1t times cosine of t?

So this point is equivalent to that point.

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

So 3.102 times 10 to the second power is the same thing as if I shift the decimal point 1, and then 2, because this is 10 to the second power it's same thing as 310.2.

That was a lot of fun.

Every time you multiply it by 10, you shift the decimal to the right by 1.

So this is actually changing our demand, it's changing our whole relationship.

I'm working on this hyperbola right here, not this one, and then I'm going to just shift it later.

And this inspired in my mind a shift from transplanting whole organs to perhaps transplanting cells.