How to find the vertices and foci of an ellipse

Learn how to graph vertical ellipse not centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major radius (a) and the minor radius (b) and the center. These properties enables us to graph the ellipse.
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[@brianmclogan]

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From 8:06 to the end, the minor axis includes (1, 5) and (-7,5). You only went a distance of 2 in each direction instead of 4 (square root of b).

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you are very welcome, I have worked on doing that as I always found it hard to keep up with a teacher when they worked so fast.

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Brian McLogan we are all very thankful for a person that can explain things crystal clear. Thank you seriously

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[@brianmclogan]

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very happy to be able to help you out!

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I just finished precalc, not understanding this at all, and it really bit me in the but now that I'm in college algebra and am having to do ellipses again. this video helped soso much. thank you!!

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I just finished watching this video as well as the one you did on parabolas and I was worried about my upcoming final exam until I watched these. Your students are lucky to have you as a teacher. Crystal clear explanation. Thanks so much for the help!

[@brianmclogan]

Matt Nieschwitz you are very welcome! and thank you

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[@brianmclogan]

you are very welcome! happy to help

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I'm taking a multidimensional math course this semester and it has started with parabola, elliptic, and hyperbola equations and graphs. I haven't seen these in over twenty-five years. Thank you very much for posting your easy to follow instructions. Your videos related to parabolas and ellipses have proven much helpful and I'm able to complete my homework assignment. I'm looking forward to finding your videos concerning hyperbolas.

[@brianmclogan]

that is great to hear Keith. Keep up the hard work. I do have plenty of videos on hyperbolas. Let me know if there is anything else I can do to help

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Rose Meyers awesome! so happy to be there to help you with your work!

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25(X+3)^2--------16(y--5)^2 (X++3)^2/16------(Y--5)^2/25 16X^2++48^2----25y^2--125^ 8X^2+++24^2----5y^2-----25^2 x^2+++++3^-------y^2-----5^2 X^2++++++9------Y^2----25 X^2==9---------------Y^2==25 X=3____________Y=5 (3+3)^2/16---(5-5)^2/25 9^2/16-----------0/25 81/16--0

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Everyone in these comments be complimenting the teacher while I'm over here in the middle of a math test not knowing what a foci is

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[@brianmclogan]

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[@cjcraig2554]

This is a great video! Do you have any videos of calculating the overlap of two ellipses (non-rotated and rotated)? I'm wondering if you can do this without sin and cosin.

[@brianmclogan]

ohhh okay got cha

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What's weird is that when I saw the thumbnail for this video, I swear it was the equation of a hyperbola with a minus instead of a plus. Part of the reason I clicked on this was to see how Mr. McLogan would get around this. Great video. Glad I watched.

[@brianmclogan]

appreciate it, need to fix that thumbnail, thank you!!

[@dariusr.3051]

I only needed to know the first part about the a and b because I was confused about the vertices and co-vertices and how to know if the ellipse is vertical or horizontal for my test tomorrow, but I continued to watch and you explained it so simple and perfect. THANK YOU!!! 👍

[@brianmclogan]

Darius R. you are very welcome! so happy to be able to help you out! good luck tomorrow

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Thanks!

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[@brianmclogan]

awesome! happy to be able to be able to help you! best of luck tomorrow

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I couldn't understand this in (Clac II) class today even though it was a review from Trig. THANK YOU very much.

[@brianmclogan]

you are very welcome!

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perfect! happy to help

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ty teach, was stuck on how to find the vertices

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TheNumber1runner you are very welcome! so happy to be able to help you out

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