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But I think you get it at this point.

So a hyperbola, if that's the x, that's the y axis, it has two asymptotes.

And since you know you're there, you know it's going to be like this and approach this asymptote.

That's not the exact word, but it would look something like that where it's below the asymptote here.

And you notice that the sigmoid function, well, it asymptotes at one, and asymptotes at zero as

And here, it's going to keep getting closer and closer to the asymptote on that side and then on that side.

Asymptotes of a Hyperbola

So x is equal to 1 y is equal to minus 1.

100, you end up with about five thousand features.

So that's one asymptote.

So we're always going to be a little bit above the asymptote.

It's going to come down and then go off, and never quite touch the asymptote, but approach it.

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Video Okay, we have parachute aligned.

When you're taking the positive square root, we're always going to be slightly below the asymptote.

It just gets closer and closer and closer, arbitrarily close to the asymptote.

The two asymptotes of a hyperbola.

Oh woops, not using my line tool.

Let's draw our asymptotes.

Go out there.

I know you can't read that.

Which essentially b over a x, plus or minus b over a x.

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Because it will never, a hyperbola will never cross the asymptotes.

Hyperbola by Asymptotes Point

So that line would look like that.

Good enough.

Got to have a steady hand.

And then go like that.

So it'll go 3.

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optimus! incoming!

This is new.

Let's do that.

So if these are the axes, then if I were to draw let me draw some asymptotes.

And actually, just so you know, this equation right here, this is a particular hyperbola that opens to the left and the right.