So we've touched on every conic section.

Let's do another conic section identification problem.

If we said twice as far we would get another conic section.

Then you should be able recognize what kind of conic section it is.

You should watch the conic section videos if this sounds unfamiliar to you.

Let's see if we could do a couple more of these conic section identification problems.

Conic Sweep

Conic Type

Supporting Conic

conic arc

All right, and they say what is the standard form of the equation of the conic section above?

But hopefully if you've watched the conic section videos, you can already recognize that this is starting to look

Intersect this Conic

with this Conic

Select this conic

Remove a Conic

Add a Conic

Move a Conic

Show a Conic

Hide a Conic

Conic by Five Points

Directrix of a Conic

Intersect with this conic

Tangent to This Conic

Attach to this conic

Select this conic arc

Remove a Conic Arc

Add a Conic Arc

Move a Conic Arc

Show a Conic Arc

Hide a Conic Arc

So the first thing to recognize is that this is a hyperbola and we'll in a few videos, do a bunch of problems where the first point is just to identify what type of conic section we have and then the second step is actually graph the conic section.

Conic by Directrix, Focus Point

Conic Arc by Five Points

Attach to this conic arc

And so, the first thing I like to do is just try to figure out what type of conic section this will be.

A conic constructed through five points

The directrix line of a conic.

Center of Curvature of This Conic

Construct a conic through this point

Construct a conic with this asymptote

Construct the directrix of this conic

Construct the asymptotes of this conic

So that's just a general sense of what the conic sections are and why frankly they're called conic sections.

Conic Arc by Center and Three Points