Sketching the quadric surface (KristaKingMath)

Learn how to sketch a quadric surface and its traces.

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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?!”

[joshp]

i feel as though you're very underrated, You and The Organic Chemistry Tutor. You both help Millions of people easily, and deserve far more credit. Excellent videos thank you for what You do.

[LocalMultiplex]

You have a very relaxing voice, it makes the video easy to listen to. 

[ChiccinTendies]

Very very well done. I cannot exactly put into words how well you explained this, but it clicked instantly for me.

[EditorExion]

The way I think about the second one is as follows:
To start, I obviously look at the equation, and I see it has two variables. At first, I think about this in a two-dimensional space, in this case the yz-plane (I know we are graphing in 3 dimensions, but I'll get to that later). So I graph the equation there and see that it is a downward-facing parabola. Now, because we are graphing in 3-space and because I don't see an "x" in the equation, I think of it as "x" can be anything because no matter what "x" is, the equation essentially never shows any change except a shift along the x-axis. To me, this represents the "main" (I just call it that) parabola shape in the yz-plane extending along the x-axis to create the resulting figure that was drawn in the video.

[waqaralikhan]

Very beautiful and very clear illustration. Amazing. Now I have understood this stunning 3D geometry.

[guitarttimman]

Your videos never fail. You are very smart. Thank you.

[connorashton]

Very helpful with a smooth voiced delivery. I think I just found my new math tutor. Thanks

[ElectroSonic]

Hi Krista! May you please share the link with the "types of surfaces" chart at 0:24?

[GraphicGreed]

THANK YOU! 
Your video helped me loads. I missed a class and the book didn't help at all. Your explanations are very easy to understand.
Thank you for doing what you're doing!! You're awesome! :D

[ambassador_in_training]

What a great explanation and most importantly understandable!!!
Thanks Krista.

[xxxSolidShrimpxxx]

Thank you a lecture that is in unbroken english. Thank you. So much.

[louisavila]

I'll be honest these videos save my life in cal. They are easy to understand and it makes sense without giving unnecessary information. This is way better than khan academy and you have earned my subscription. Thanks for all the help.

[aaronearl]

Where did you find that Quadric Surface chart at?? Very helpful video, thanks!!

[nebim]

Your videos are all amazing. Very concise and straight to the point. Also not hard to understand. Do you have that chart available by any chance?

[asmaiqbal]

Please also make a video on how to draw a sin or cosine graph in 3 space when one variable is missing

[mightymeta]

Better to learn this without referring to a chart, at least at first

[girardidonatoni]

you are simply great!!!! thanks for explaining in a easy way!

[jamiumuritala]

FIrstly, thanks for explaining this,
Secondly, please what material did you share the surface pictures from or is part of your lesson note

[thaboquinton]

love you im at best varsity in africa now and 90% in math nw bcz of u!!

[danielsd]

where can I find the pdf with all the 3D geometric surfaces that you used in the beginning of the video? Thanks for another helpful video!