Reducing a quadric surface equation to standard form (KristaKingMath)

Learn how to simplify an equation into an equation of a quadric surface in standard form.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[LoveneBigBang]

You're so articulate and very precise with every single detail, you're simply the best!

[CDinkle]

Krista, Sal, Grant, and Patrick: our Calculus saviours.

[eduardo]

This was the video I was looking for. Thanks a lot.

[Donutshop]

the center point for the last quadratic equation should be (2, -1, 1)

[daragebczak]

You are an amazing teacher!!! Thank you for your videos!

[hg.]

45 years after learning Completing the Square, it's actually applied! Bravo Krista!

[NNHarvey]

Excellent! I get it now.  Wish my professor explained it as good as you! Great lecture!

[MattiaRighetti]

Great explanation, from an Italian student! Made my life a lot easier

[hayleywilliams]

Awesome explanation! Never understood it until now.

[newyorkguy]

It's good as far as it goes and I love your videos, but I wish that you would add the procedure for drawing these figures, like finding the intercepts, etc. So we would both be able to identify the figure from the equation and know how to draw it.

[AN-bwim]

Thank you! Your videos are saving my life

[justbrechtt]

Great video! where can I find the full chart?

[Urnreadsbookz]

this was so helpful thank you!!! I was wondering where I can get that exact chart you use because it's a lot simpler than most I've seen thanks :)

[alexabadjon]

what do u do when u have xy, xz, and x^2 + y^2 - 3z^2 - 6xy +2xz+xyz-4x-4y+4z=5

[nnenone]

I've a problem when additional term in the equation gets introduced like "equation 3rd + 2xy".. how to go through with that?.. ty

[presidentevil]

This doesn't show how to eliminate xy yz and yz to make a new form.
Could you please upload this one?

[nicodemusmd]

I'm having trouble writing the equation on a quadric surface that is defined as having the same distance from a point, P (-1, 0, 0) and the plane x=1. I know that it's a parabaloid centered on the x-axis in the negative direction. Any suggestions?

[stacymatassa]

how can i get acopy of the cheat sheet?

[talha.rehman]

Please provide us the table, will be thankful ❤️

[aslam]

Thank you so can i also get a copy of the cheat sheet?