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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[@maia3210]

when a 2012 video is more informative than the college class u paid 1k for

[@brianmclogan]

and I have a lot more videos to help😀

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[@Vibertex]

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im in9th grade learning this bruh

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@@ronitjambekar6635 taking algebra 2 in 9th grade is not not even considered “good”...

[@brianmclogan]

this was for pre-calculus, thankfully we have a group of great teachers at my school

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I skipped precalculus and placed into calc 1. I'm now in calc 3, and your videos are saving me! THANK YOU!

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that one girl that kept spacing out in class came back to dislike this video

[@brianmclogan]

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Zedsy I commented this when I was in high school and I’ve graduated college now so I don’t remember specifically but it seems to have worked out

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as a grade 11 student, Sir, thank you very much, I learned a lot from what you taught about pre-calculus. From Philippines👋🏻👋🏻

[@brandonfelsted3186]

Thanks, been staring at my textbook for 30 minutes trying to make some sense of ellipses. Within the first 2 minutes of watching this video I've gotten more meaningful information than from my textbook

[@brianmclogan]

awesome! happy to be able to help you out!

[@justinbak3012]

thats a damn shame that you're such a good teacher and you have a class like that

[@jjwesker1061]

I have taken Pre-Calc Online over the summer. I never needed any tutors to come home. YOU were my "Tutor" Mr. McLogan. Thank you for Everything! Your videos will be used when I take AP Calculus AB this year.

[@barrydavis331]

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 great at teaching math

[@brianmclogan]

thank you!

[@helenamayj9361]

You are WAY more helpful than my math teacher! Thanks for this vid! I won't have any trouble doing my homework now! :-)

[@brianmclogan]

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[@helenamayj9361]

:-D

[@eliteleader4447]

Respect to Brian for caring enough to reply to 2020 comments in a video that’s 8 years old

[@brianmclogan]

your welcome, I really appreciate it

[@soursummer]

this 8 minute video taught me more than a week's worth of classes in preperation for my midterm tmr! thank you so much

[@brianmclogan]

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.

[@cosmicenergyedits]

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

[@neptune4200]

I think there's bit of error with the b stuff Should it be 4 in each side instead of 2 since squareroot of 16 is 4?

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Yeah, that's true.

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I would fail my class without this channel... Thanks!

[@brianmclogan]

I just try to do my best, glad they help you out

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im so glad i found this, you helped me more than my teacher thank you!!

[@SweetTeaKD]

I spent hours trying to learn this through my lecture notes and you taught it to me in less than 10 minutes, you are amazing!

[@brianmclogan]

very happy to be able to help you out!

[@mariamsandroshvili8868]

You are the best math teacher in the universe. Never have I ever watched your video and left it without full understanding of the subject! 🥰🥰🥰🥰

[@thenamelessking6896]

At 8:15 how is the radius of the minor axis 2 units left and right of x= -3 ? Isn't b= 4 so shouldn't it be 4 units left and right?

[@brianmclogan]

Sasuke Uchiha yes that is correct thank you I will put up an annotation with that change

[@brianmclogan]

you are welcome, happy to help!

[@Monasuniverse1993]

THANK YOU SO MUCH! I couldn’t understand this and was given more than 10 lecture videos to watch from our school. I found yours and it’s like.... mind blown- totally makes sense now! GOD BLESS YOUR LIFE!

[@jolicoeurhederlus6016]

Thank you you explained this so much easier than my professor. Because of your videos I will pass my finals. Thank you

[@cosmicenergyedits]

You can fall asleep during your lesson not because its boring because it’s relaxing in a good way😂 its like i can sleep and learn at the same time

[@brianmclogan]

that would be ideal,, just wake up and good to go

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Absolutely amazing! Math teachers need to attend your classes!

[@keithbunch8115]

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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I swear your videos have been really helpful these past few months. Not even this is enough to thank you for all the help you've given us.

[@brianmclogan]

That's what I am here for. Happy to help

[@MelonKing19]

Your lessons got me an A on my Trig Final. Thank you so much!

[@brianmclogan]

your very welcome, happy my explanation worked for you!

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Thanks for teaching in a way I can actually understand! You are such a help to me!

[@brianmclogan]

awesome! happy to be able to help

[@sassy_o_sushi6304]

I dunno but hearing the other students voices made me feel less lonely😅. It was all cozy and really nice and! I understand this better😁. Thank u sir🙇🏽‍♀️

[@zackaryh-iv8sc]

your tutorials are saving me, i currently have an F in math, but i see that turning around really fast

[@RealSlopeDude]

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!!

[@joanmarielara4476]

Thank you for sharing your knowledge with us mister! It really helped me many times most especially in my assignments, where i couldn't understand the way my teacher teaches the pre calculus. God bless you more

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Never stop making videos

[@MueedVI]

You look like you are a serious and unfunny person but seriously you have a great sense of humor.

[@ahmednuralkali7204]

Brian you are a legend to me I literally understood all the chapters that will be out in our exam except for ellipse now I got 80% of it

[@Angel-VTek]

This is more helpful than my analytic geometry class. Even i'm not a native english speaker (im from México), but i can even understand this way better than my "teach'a". Thx

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I love how he dumbs down the theories. Makes it A LOT easier to grasp concepts

[@brianmclogan]

I would prefer the term breaks down the theories 😀

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By far, your teaching abilities are way better than my math professor. Thx for the vid.. really helped!

[@brianmclogan]

you are very welcome! happy to be able to assist you

[@brianmclogan]

what is a CP class?

[@brianmclogan]

you are very welcome! really happy to help!

[@natsibm2488]

man you are a good teacher but you have teach you're students some respect

[@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

[@dariusr.3051]

Thanks!

[@bribrilloyd2964]

This really helped thank you!

[@Mukachi-ur1ik]

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!!

[@LlamaLogic]

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

[@brianmclogan]

your very welcome!

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bruh this video is 9 years old and is still good

[@ville0]

You are the Best Teacher.

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Your teaching method is extremely convenient.

[@brianmclogan]

happy to help

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Best. Explanation. Ever. You sir know how to teach YAY! Thank you

[@brianmclogan]

: ) thank you! cheers to you

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Thank you!! Your a great teacher that was really helpful

[@brianmclogan]

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

[@zyrazyrinchavez3263]

Omg i was crying because i need to pass my module tommorrow and i did not understand my teacher because his explanation is hard to understand ...he literally explained this topic in 1 hour ... its so fucked up ... i dont know what to do ....im so glad i found this. . I already finished my schoolworks ... thank you very much ... i learned a lot of things in pre calculus because of ur videos

[@mattnieschwitz4727]

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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Thanks a lot.One of the best teacher I've ever seen.

[@brianmclogan]

appreciate it

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thanks! I appreciate it, let me know how I can help!

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i need help

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Sir Brian, I'am really thankful that I saw this video, it's easy for me to understand your explanation.. May the Lord bless you more😀

[@brianmclogan]

appreciate it, and happy to be able to help you

[@DunyaHyuga]

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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i am a enginering student from brazil, you help me a lot! just want to say thanks. keep up with this videos you are amazing

[@brianmclogan]

happy to be able to help you! keep up the hard work!

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Your videos are extremely helpful! I've learned so much in this one video then I have the entire semester of my math class!

[@brianmclogan]

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

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Your are the best teacher i ever seen and it was very helpful thanks McLogan

[@brianmclogan]

wor dar that you very much! I greatly appreciate your comment

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genuinely the best video ever

[@yunie8190]

Help me😭 What if I can't square root the a² and b², should it stay the same?

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I have a test in less than 12 hours and this just saved my grade, thanks a lot :D

[@brianmclogan]

you are very welcome! let me know how you do!

[@jannadayinthelife]

this was so helpful, studying for my final tomorrow and i've never been more confused until this video!!! THANK YOU

[@kfjfkeofitorhf9520]

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

[@specialUnicorn98]

Thank you so much for this! I have a test in three days and had no idea how to do this. Now it makes so much sense!!! Very helpful!

[@brianmclogan]

you are very welcome! happy to help

[@clarkfaithobod1062]

You're better than my math teacher. Keep up the good work!

[@brianmclogan]

you are very welcome Clark!!

[@codyshi4743]

Then how do you find the vertices with with foci and an eccentricity? And how do you find an endpoint with only a foci and an eccentricity?

[@petermaffei8687]

Thank you for such a clear and concise explanation!

[@gaetanom5242]

Taking my algebra 2 final tomorrow thank you so much ive been binge watching a lot of your videos and they are really helping thank you so much!!!

[@brianmclogan]

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

[@brandonlouieisla4117]

ty teach, was stuck on how to find the vertices

[@JsMoto7]

Thank you sir! you're better teacher than my math professor!

[@brianmclogan]

you are very welcome! happy to be able to help

[@lucamarin5421]

I feel like that one girl may bump into this again and come back to this video and remember and remove her dislike from this video lol.

[@anilkumarsharma8901]

perimeter of triangle and perimeter of oval are having fix ratio or not ???

[@cierratrujillo1726]

So would the minor points be at (-7,5) (1,5)?? Thank you so much!! Best teacher ever!!

[@brianmclogan]

Cierra Trujillo yes exactly, you got it! let me know if there is anything else I can help you further understand?

[@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.

[@drewchoos5750]

Hey man, great educational video. I think you had a graphing error at the end. I believe the minor axis should have been (-7,5) & (1,5).

[@brianmclogan]

yes great catch, I should have taken my time on that one

[@NORLIZASILVATsubusu]

You teach good than my teacher.

[@brianmclogan]

happy to be able to assist you, keep up the hard work

[@veekay4]

Thank you so much

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thank you soo much, you are really taking your time to explain things clearly to me

[@chadk8736]

That was very useful really helped me prepare for my test today thanks! Your class doesn't understand what its like having a bad calculus teacher

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thank you so much! i think you're gonna save me in my senior years:))

[@brianmclogan]

keep working hard Isabella! happy to be there for you

[@pardeepsingh302]

wow greet teacher and you answer all comments.

[@jeannygenson1219]

Determine the equation of the hyperbola with foci @(10,10) and (-10,10) and length of transverse axis of 12.

[@MontyBellroy]

I think it is extremely cool how, as a calc 3 student in college, I run across a video by my old high school teacher.

[@brianmclogan]

Hi!! I am still hear teaching. Congrats to you on working up the Calc 3. And you are?????????

[@MontyBellroy]

Noah, the short kid who made games on his calculator

[@brianmclogan]

Noah!!!! Very proud of you, keep up the hard work and great to hear from you

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You are WAY more helpful than my teacher! Thanks for this vid! I can do my homework now! :-)

[@brianmclogan]

: )

[@prodaugust]

this man is goated, thank you. very well explained and made it easy to learn

[@brianmclogan]

You are very welcome!!

[@johnpaypa4100]

thanks bro.... i now finally understand hahahahah Goodluck to me! midterm tomorrow

[@JunkPileFool]

This has really helped me with my homework. Thank you!

[@anilkumarsharma8901]

what is corresponding wave with oval ???

[@msviiettbabexo]

Extremely helpful and to the point. Thanks

[@brianmclogan]

yu are very welcome!

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Thank you so much. You're a great teacher.

[@brianmclogan]

happy to be able to help

[@Nick.Ackerman]

talent in teaching here!

[@brianmclogan]

: )

[@MrGamer21]

You are a hero.

[@brianmclogan]

😍😍😍

[@chriscastro6824]

what is the co vertices

[@Mark-tv6mx]

Chris castro co vertices is the 2b

[@benedictolaplanajr.6377]

what is the significance of getting the foci?