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

It's scaled up.

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

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

Let's say, minus 5.

You do x squared plus 1.

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

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.

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

And remember, these are the asymptotes for this situation.

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.

Laplace transform of, and this one here?

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

But what if (C) is a terminal a token, final part of the input?

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

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

Let's say I want to just take the graph of x squared and I want to shift it four to the right.

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

And the same idea can be done with the principal square roots.

I have an e here.

So this point is equivalent to that point.

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

And remember ... when demand goes up, we're talking about the whole curve shifting to the right.

And that's where we said, hey, if we have e to the minus 2s in our Laplace transform, when you take the inverse Laplace transform, it must be the step function times the shifted version of that function.

So with x squared, I'm going to do two things.

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

Well, that matches up exactly with the token we were expecting, to the right of the red dot, so we get to shift over it.

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

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

So if the mean goes from 0 to let's say it goes to 5.

It's not just about terrorism, though.

What I do is I say, x minus 4. x minus 4 squared.

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.

Now we're going to look at the input again and see that the next token is actually (q).

Dirac delta function.

Let's see what we can do.

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