How to find the vertices and foci of an ellipse

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  • เผยแพร่เมื่อ 9 ก.พ. 2025
  • 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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ความคิดเห็น • 339

  • @brianmclogan
    @brianmclogan  11 ปีที่แล้ว +108

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

    • @nevaehssleepy
      @nevaehssleepy 5 ปีที่แล้ว +1

      Must be nice lol

    • @lauren_elise89
      @lauren_elise89 4 ปีที่แล้ว +4

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

  • @maia3210
    @maia3210 6 ปีที่แล้ว +694

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

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +81

      and I have a lot more videos to help😀

    • @Vibertex
      @Vibertex 5 ปีที่แล้ว +1

      @@brianmclogan does anyone else have Promethean boards now?

    • @ronitjambekar6635
      @ronitjambekar6635 4 ปีที่แล้ว +5

      im in9th grade learning this bruh

    • @edmondmeng8205
      @edmondmeng8205 4 ปีที่แล้ว +1

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

    • @kylewalkins5112
      @kylewalkins5112 4 ปีที่แล้ว +12

      @@edmondmeng8205 this isnt algebra 2, its pre calc, and pre calc in 9th grade is 3 levels above standard lol I'd say thats pretty good

  • @brandonfelsted3186
    @brandonfelsted3186 6 ปีที่แล้ว +84

    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
      @brianmclogan  6 ปีที่แล้ว +11

      awesome! happy to be able to help you out!

  • @sarahbeaver5328
    @sarahbeaver5328 10 ปีที่แล้ว +133

    You are the only reason I feel confident about my test tomorrow. Thank you so much.

    • @brianmclogan
      @brianmclogan  10 ปีที่แล้ว +20

      Adrianna Wade puts a smile on my face hope you did well

    • @MansEatinBeans
      @MansEatinBeans 5 ปีที่แล้ว +2

      Well? how did you do?

    • @georgeanderson751
      @georgeanderson751 5 ปีที่แล้ว +2

      @@MansEatinBeans XD

    • @pooron
      @pooron 4 ปีที่แล้ว +1

      How’d you do bro

    • @sarahbeaver5328
      @sarahbeaver5328 4 ปีที่แล้ว +11

      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

  • @sccm100
    @sccm100 7 ปีที่แล้ว +241

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

  • @jjwesker1061
    @jjwesker1061 5 ปีที่แล้ว +4

    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.

  • @princessannedungog8632
    @princessannedungog8632 4 ปีที่แล้ว +30

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

  • @justinbak3012
    @justinbak3012 6 ปีที่แล้ว +47

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

  • @helenamayj9361
    @helenamayj9361 11 ปีที่แล้ว +37

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

  • @eliteleader4447
    @eliteleader4447 3 ปีที่แล้ว +5

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

  • @nicogallardo7670
    @nicogallardo7670 8 ปีที่แล้ว +87

    You are great at teaching math

  • @soursummer
    @soursummer ปีที่แล้ว +1

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

  • @Attyff
    @Attyff 4 ปีที่แล้ว +1

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

  • @SweetTeaKD
    @SweetTeaKD 7 ปีที่แล้ว +2

    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
      @brianmclogan  7 ปีที่แล้ว

      very happy to be able to help you out!

  • @freefall8265
    @freefall8265 5 ปีที่แล้ว

    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
    @brianmclogan  12 ปีที่แล้ว +11

    your welcome, I really appreciate it

  • @mariamsandroshvili8868
    @mariamsandroshvili8868 4 ปีที่แล้ว

    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! 🥰🥰🥰🥰

  • @Monasuniverse1993
    @Monasuniverse1993 4 ปีที่แล้ว

    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!

  • @littyyasff
    @littyyasff 6 ปีที่แล้ว +5

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

  • @aarongetachew4191
    @aarongetachew4191 3 ปีที่แล้ว +1

    Never stop making videos

  • @LlamaLogic
    @LlamaLogic 3 ปีที่แล้ว +5

    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

  • @barrydavis331
    @barrydavis331 6 ปีที่แล้ว +10

    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).

  • @MelonKing19
    @MelonKing19 6 ปีที่แล้ว +2

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

  • @michealramzy1.1
    @michealramzy1.1 6 ปีที่แล้ว +3

    Absolutely amazing! Math teachers need to attend your classes!

  • @152mmapfsds
    @152mmapfsds 3 ปีที่แล้ว +1

    bruh this video is 9 years old and is still good

  • @brianmclogan
    @brianmclogan  12 ปีที่แล้ว +5

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

  • @brianmclogan
    @brianmclogan  11 ปีที่แล้ว +11

    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
      @cosmicenergyedits 6 ปีที่แล้ว +1

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

  • @joanmarielara4476
    @joanmarielara4476 5 ปีที่แล้ว +1

    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

  • @brianmclogan
    @brianmclogan  12 ปีที่แล้ว +4

    your very welcome, happy my explanation worked for you!

  • @ahmednuralkali7204
    @ahmednuralkali7204 5 ปีที่แล้ว

    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

  • @RealSlopeDude
    @RealSlopeDude 6 ปีที่แล้ว

    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
      @brianmclogan  6 ปีที่แล้ว

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

  • @jolicoeurhederlus6016
    @jolicoeurhederlus6016 3 ปีที่แล้ว +1

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

  • @rachelkobes6446
    @rachelkobes6446 3 ปีที่แล้ว

    genuinely the best video ever

  • @brianmclogan
    @brianmclogan  11 ปีที่แล้ว +4

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

  • @keithbunch8115
    @keithbunch8115 7 ปีที่แล้ว

    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
      @brianmclogan  7 ปีที่แล้ว +1

      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

  • @brianmclogan
    @brianmclogan  11 ปีที่แล้ว +3

    you are welcome, happy to help!

  • @lemueleianaves5127
    @lemueleianaves5127 8 ปีที่แล้ว

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

  • @osamabilal5582
    @osamabilal5582 7 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

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

  • @rizviwarrior1
    @rizviwarrior1 7 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      I would prefer the term breaks down the theories 😀

  • @ville0
    @ville0 5 ปีที่แล้ว

    You are the Best Teacher.

  • @MueedVI
    @MueedVI 5 ปีที่แล้ว

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

  • @schwitz2621
    @schwitz2621 10 ปีที่แล้ว

    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
      @brianmclogan  10 ปีที่แล้ว

      Matt Nieschwitz you are very welcome! and thank you

  • @daghanabi
    @daghanabi 2 หลายเดือนก่อน

    math makes me suffocate, but it is teachers like these whom are passionate that save the day

  • @zyrazyrinchavez3263
    @zyrazyrinchavez3263 4 ปีที่แล้ว

    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

  • @dariusr.3051
    @dariusr.3051 10 ปีที่แล้ว

    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
      @brianmclogan  10 ปีที่แล้ว

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

    • @dariusr.3051
      @dariusr.3051 10 ปีที่แล้ว

      Thanks!

  • @rosemeyers5783
    @rosemeyers5783 9 ปีที่แล้ว +1

    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
      @brianmclogan  9 ปีที่แล้ว

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

  • @The30031981
    @The30031981 7 ปีที่แล้ว

    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
      @brianmclogan  7 ปีที่แล้ว

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

  • @Angel-VTek
    @Angel-VTek 5 ปีที่แล้ว

    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

  • @clarkfaithobod1062
    @clarkfaithobod1062 6 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      you are very welcome Clark!!

  • @sassy_o_sushi6304
    @sassy_o_sushi6304 2 ปีที่แล้ว +1

    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🙇🏽‍♀️

  • @brianmclogan
    @brianmclogan  11 ปีที่แล้ว +2

    you are very welcome! really happy to help!

  • @specialUnicorn98
    @specialUnicorn98 11 ปีที่แล้ว

    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
      @brianmclogan  11 ปีที่แล้ว

      you are very welcome! happy to help

  • @mindoverbread1213
    @mindoverbread1213 10 ปีที่แล้ว +1

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

    • @brianmclogan
      @brianmclogan  10 ปีที่แล้ว

      : ) thank you! cheers to you

  • @zackaryh-iv8sc
    @zackaryh-iv8sc ปีที่แล้ว

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

  • @dreyandonera7977
    @dreyandonera7977 7 ปีที่แล้ว

    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
      @brianmclogan  7 ปีที่แล้ว

      appreciate it, and happy to be able to help you

  • @jannadayy
    @jannadayy 5 ปีที่แล้ว

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

    • @kfjfkeofitorhf9520
      @kfjfkeofitorhf9520 ปีที่แล้ว

      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

  • @Mukachi-ur1ik
    @Mukachi-ur1ik 3 ปีที่แล้ว

    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!!

  • @natsibm2488
    @natsibm2488 3 ปีที่แล้ว

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

  • @bribrilloyd2964
    @bribrilloyd2964 10 ปีที่แล้ว +8

    This really helped thank you!

  • @wordar2383
    @wordar2383 9 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

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

  • @cosmicenergyedits
    @cosmicenergyedits 6 ปีที่แล้ว +23

    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
      @brianmclogan  6 ปีที่แล้ว +6

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

  • @aneebamalik1102
    @aneebamalik1102 7 ปีที่แล้ว

    Your teaching method is extremely convenient.

  • @gaetanom5242
    @gaetanom5242 7 ปีที่แล้ว

    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
      @brianmclogan  7 ปีที่แล้ว

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

  • @thepancakepony
    @thepancakepony 11 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  11 ปีที่แล้ว

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

  • @brianmclogan
    @brianmclogan  12 ปีที่แล้ว +2

    your very welcome!

  • @prodaugust
    @prodaugust 2 ปีที่แล้ว

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

  • @lunlib6149
    @lunlib6149 6 ปีที่แล้ว +6

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

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +2

      awesome! happy to be able to help

  • @JsMoto7
    @JsMoto7 7 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +1

      you are very welcome! happy to be able to help

  • @DunyaHyuga
    @DunyaHyuga 7 ปีที่แล้ว

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

  • @Nick.Ackerman
    @Nick.Ackerman 10 ปีที่แล้ว

    talent in teaching here!

  • @MontyBellroy
    @MontyBellroy 6 ปีที่แล้ว

    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
      @brianmclogan  6 ปีที่แล้ว +1

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

    • @MontyBellroy
      @MontyBellroy 6 ปีที่แล้ว

      Noah, the short kid who made games on his calculator

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

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

  • @isabelladeleon6111
    @isabelladeleon6111 6 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      keep working hard Isabella! happy to be there for you

  • @helenamayj9361
    @helenamayj9361 11 ปีที่แล้ว

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

  • @TheNumber1runner
    @TheNumber1runner 10 ปีที่แล้ว +6

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

    • @brianmclogan
      @brianmclogan  10 ปีที่แล้ว

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

  • @arthyvenkatesh8579
    @arthyvenkatesh8579 5 ปีที่แล้ว

    You are amazing. You just earned a new subscriber!!

  • @petermaffei8687
    @petermaffei8687 3 ปีที่แล้ว

    Thank you for such a clear and concise explanation!

  • @msviiettbabexo
    @msviiettbabexo 11 ปีที่แล้ว

    Extremely helpful and to the point. Thanks

  • @raymodmendoza4271
    @raymodmendoza4271 6 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      happy to be able to help

  • @MrGamer21
    @MrGamer21 ปีที่แล้ว

    You are a hero.

  • @chadk8736
    @chadk8736 11 ปีที่แล้ว

    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

  • @brianmclogan
    @brianmclogan  12 ปีที่แล้ว +3

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

  • @JustinKingOfSwag
    @JustinKingOfSwag 12 ปีที่แล้ว

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

  • @JunkPileFool
    @JunkPileFool 11 ปีที่แล้ว

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

  • @hillaryjacobs8627
    @hillaryjacobs8627 7 ปีที่แล้ว

    This guy is great!

  • @xlc6027
    @xlc6027 7 ปีที่แล้ว

    keep it up, you are a great teacher

  • @ReturnOfJah
    @ReturnOfJah 4 ปีที่แล้ว

    Your the greatest.

  • @DodoDude07
    @DodoDude07 19 วันที่ผ่านมา

    Here in 2025 in 10th grade! You could say this is outdated but I think that the new books are too updated, everything is more complicated and inefficient than how you are teaching it. Thank you!

  • @niki-dh4bx
    @niki-dh4bx 5 ปีที่แล้ว

    I was crying because I have a test tomorrow , after watching your video I’m not crying anymore

  • @NORLIZASILVATsubusu
    @NORLIZASILVATsubusu 8 ปีที่แล้ว +3

    You teach good than my teacher.

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว

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

  • @arronharo964
    @arronharo964 12 ปีที่แล้ว

    thank you ,many thanks you are a great teacher

  • @brianmclogan
    @brianmclogan  12 ปีที่แล้ว +2

    what is a CP class?

  • @태형김-m8d
    @태형김-m8d 4 ปีที่แล้ว

    Thank you so muchhh❤ This was a big help.

  • @mr_cod3
    @mr_cod3 2 ปีที่แล้ว

    Ty sir that really helped a lot

  • @brandonlouieisla4117
    @brandonlouieisla4117 3 ปีที่แล้ว

    ty teach, was stuck on how to find the vertices

  • @jmop12
    @jmop12 5 ปีที่แล้ว

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

  • @pardeepsingh302
    @pardeepsingh302 5 ปีที่แล้ว

    wow greet teacher and you answer all comments.

  • @saimummahmud4599
    @saimummahmud4599 4 ปีที่แล้ว

    Man you are awesome!

  • @1121jitseng
    @1121jitseng 6 ปีที่แล้ว

    Great video !

  • @ManofFrench45
    @ManofFrench45 6 หลายเดือนก่อน

    This video is 12 years old but you saved me for this exam

  • @lauren_elise89
    @lauren_elise89 4 ปีที่แล้ว

    I love his class dynamic, it's so cute lol