How to find the foci, center and vertices, and asymptotes of a hyperbola

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  • Опубликовано: 15 дек 2024

Комментарии • 264

  • @noahpierce5205
    @noahpierce5205 7 лет назад +276

    Shout out to brian for making my grade go from a 73 to a 94 in pre-cal. These videos are a NECESSITY

    • @brianmclogan
      @brianmclogan  7 лет назад +37

      Happy to be able to help you out, keep up the hard work

    • @christina-mz1lp
      @christina-mz1lp Год назад

      I’m trying precalc so hard :(

  • @brianmclogan
    @brianmclogan  11 лет назад +85

    AHHHH thank you for catching the mistake. I think I may have been confused working from another ellipse problem and state incorrectly. For a hyperbola the foci are not between the verticies but out side them! Thank you so much for catching this mistake

    • @malachibooth2549
      @malachibooth2549 5 лет назад +3

      Brian McLogan ty in helping me with my hw and keep making more videos! Btw I think you graphed the foci wrong because the square root of seven is larger than two (the vertices)

    • @johnibrahimbabangida-co3sw
      @johnibrahimbabangida-co3sw Год назад

      Thanks so much for this video

  • @brianmclogan
    @brianmclogan  11 лет назад +25

    thanks, just trying my best to help out students like yourself. Keep up the hard work and let me know how I can help you further

  • @tranquilitypeace-quiet-med8225
    @tranquilitypeace-quiet-med8225 5 лет назад +19

    I wonder why majority of the people in this world cannot appreciate the beauty of math, keep it up sir

    • @jasonyntig717
      @jasonyntig717 4 года назад +3

      It’s just so hard... but I do appreciate the beauty of literature

    • @BOSS-nz2hw
      @BOSS-nz2hw 4 года назад +4

      Becasue teachers are not letting us appreciate it. Just Stating facts

  • @MrDubs
    @MrDubs 6 лет назад +13

    I love being able to search ANYTHING math related this semester and having multiples of your videos pop up. Hope your archive of all things great are there for me next semester for my 7:30am calc class.

    • @brianmclogan
      @brianmclogan  6 лет назад

      yes I have plenty of calc videos, hoping to make more

  • @ikennao5299
    @ikennao5299 7 лет назад +12

    im from nigeria and youre a blessing
    youve saved my gpaa!

    • @brianmclogan
      @brianmclogan  7 лет назад +4

      happy to be able to help you out, all the way in nigeria

  • @claramutsakanyi3790
    @claramutsakanyi3790 7 лет назад +39

    i like the fact that i feel like im in class ,when watching your videos .

    • @brianmclogan
      @brianmclogan  7 лет назад +4

      I like that too

    • @irehman7
      @irehman7 6 лет назад

      Then why don't you pay attention in class and come here watch XD.....just kidding

  • @madeleinekreger8309
    @madeleinekreger8309 7 лет назад +20

    Forever wishing you were my pre-calc teacher👌🏼 Learned so much from you!

    • @brianmclogan
      @brianmclogan  7 лет назад +1

      awesome! happy to be able to help you out

    • @hoshimiazami18
      @hoshimiazami18 6 лет назад +1

      Madeleine Kreger yeah me too

  • @tyhararain7856
    @tyhararain7856 10 лет назад +10

    Thank you, thank you, thank you! This is my first year of being homeschooled and the onsite classes only went up to geometry at my schools site. I've been teaching myself Precalc this entire year and it has been the sole cause of all my sleepless nights and grumpy attitude in the morning. Some how ( I have no idea how) I managed to keep up my A in the class but i think waaay too much crying and headaches was put into it. I love math and not understanding it was making me seriously hate it. Thank you soooo much for taking the time to make/edit these videos, they are sooo helpful. I wish i had learned about them much sooner but i will definitely keep watching your videos the last 6 weeks of school i have left!

  • @luxus20
    @luxus20 7 лет назад +26

    bro u are better than my teacher in room LOL ...I understand a lot thank you bro this really help me ^.^

  • @MugeSheldon-w8z
    @MugeSheldon-w8z 3 месяца назад

    am from kenya and am really appreciative to this soul for improving my mathematical skills

  • @ryanjayreyes7019
    @ryanjayreyes7019 7 лет назад +6

    Thank God !! Your a Life saver!! I survived pre cal with high marks because of you..!! Thank you..!! I'm from philippines by the way..😊😊😊

    • @brianmclogan
      @brianmclogan  7 лет назад

      great job Ryan! I am happy to have been able to help you and see your hard work pay off

    • @ryanjayreyes7019
      @ryanjayreyes7019 7 лет назад

      +Brian McLogan Yeah! You can count on it..😊😊 Hope you still continue to upload videos

    • @brianmclogan
      @brianmclogan  7 лет назад +1

      ohhh yes

  • @BasketballPownage
    @BasketballPownage 9 лет назад +2

    I just wanted to thank you so much! I take pre calc and am doing all of it from home and teaching myself. You help by giving a very clear explanation and it feels very similar to a classroom setting. Thanks a lot, you are helping thousands of struggling teens with hw.

    • @brianmclogan
      @brianmclogan  9 лет назад

      BasketballPownage thank you, very happy to be able to make a difference

  • @hiyashah2335
    @hiyashah2335 5 лет назад

    I’m an expat living in Saudi Arabia and your videos really do help! Thanks!

  • @Jan_ice
    @Jan_ice 7 месяцев назад

    i just recently found your videos and honestly its keeping me afloat in precalc these are really helpful

  • @ak-up8fg
    @ak-up8fg 3 года назад

    Absolutely You are awesome ! I see you as my maths teacher. Respect from ethiopia.

  • @ranjithraj36
    @ranjithraj36 4 года назад +2

    Namasthe Sir I'm from india. Actually I takes online tuitions for NRI students your videos helping me alot thank you so much sir

  • @brianmclogan
    @brianmclogan  11 лет назад +3

    you are welcome!

  • @1121jitseng
    @1121jitseng 6 лет назад

    You're much better than my teacher in lucture class. She just briefly explained to us and gave us lots of exercises. Thank you so much Sir ;)

    • @brianmclogan
      @brianmclogan  6 лет назад

      you are very welcome and happy to be able to help

    • @1121jitseng
      @1121jitseng 6 лет назад

      Can sir do more discussion on stpm maths level?

  • @michaeldickson36
    @michaeldickson36 7 лет назад

    your students have a remarkable ability to ask the questions exactly as i think them in my head

  • @kalebrizer6829
    @kalebrizer6829 5 лет назад +2

    i just discovered the channel thanks for the help because my current teacher honestly just doesnt teach this well and most of my class is having trouble.

  • @GlennEmmanuelPMardo
    @GlennEmmanuelPMardo 6 лет назад

    Tomorrow is our examination in Pre-Calculus regarding conic sections
    I've watched all of your videos regarding conic sections and I learned a lot from you. Thank you so soooo much I really admire/appreciate your intelligence in Mathematics
    God bless you and your family💖🙂

    • @brianmclogan
      @brianmclogan  6 лет назад

      you are very welcome Glenn! Wish you the best of luck!

  • @ricaprincesstonga712
    @ricaprincesstonga712 5 лет назад +1

    You just save me from failing my quiz! I think I learn more watching your video tutorial than listening to my pre-cal teacher...

  • @themegachan1
    @themegachan1 10 лет назад +2

    Thank you a lot. I watch your videos every time I have new homework lol... The way you teach is super super easy to understand. Thank you so much :)

  • @JasleenKaur-ht5km
    @JasleenKaur-ht5km 7 лет назад +67

    this was a hyperbola, you put the foci on the wrong spots. Other than that good video

    • @brianmclogan
      @brianmclogan  7 лет назад +17

      good catch, thanks! I will update on the video

    • @keenanweind1780
      @keenanweind1780 6 лет назад

      I was about to put the same reply, you beat me to it...

    • @jamesruwe5566
      @jamesruwe5566 6 лет назад +1

      a^2-b^2=c^2

    • @carlmina4287
      @carlmina4287 5 лет назад +1

      @@jamesruwe5566 no, on hyperbola its addition bruv

  • @cocoabunny13
    @cocoabunny13 10 лет назад +1

    Thank you so much, this helped me a ton! The way you teach is super easy to understand, please keep making videos :)

    • @brianmclogan
      @brianmclogan  10 лет назад

      Merina Simone thank you very much for your kind words, happy to keep making videos

  • @parhama1388
    @parhama1388 7 лет назад

    shout out to Brian from Melbourne, Australia. Your videos are very helpful.

  • @morganjones616
    @morganjones616 4 года назад

    Thank you so much! My math teacher makes connections that I can't yet, so your videos really round it out.

  • @hook8033
    @hook8033 11 лет назад +1

    So if a=2 and c=sqrrt of 7 which is 2.65 roughly wouldnt that put the foci on the outside of the vertices not in between? at 8:52

  • @STONEAJE
    @STONEAJE 10 лет назад

    I would just like to say thank you for this. You are an awesome teacher. My teacher is great too (this time at least) but she doesn't have her lectures online for me to check after class! These videos have been helping me a ton.

    • @brianmclogan
      @brianmclogan  10 лет назад

      STONEAJE awesome! that is why I post them for students like you. happy to be there to help

  • @aidengluck261
    @aidengluck261 4 года назад

    This guy is carrying me through my classes

  • @darrell3806
    @darrell3806 7 лет назад

    I'm from Philippines and you sir helped me out. thanks sir

    • @brianmclogan
      @brianmclogan  7 лет назад +1

      awesome! happy to be able to do so. Keep up the hard work

    • @sadgurusachhivani7171
      @sadgurusachhivani7171 7 лет назад

      really helpful
      but one problem is that letters are nt clear

  • @brianmclogan
    @brianmclogan  11 лет назад +3

    you are very welcome! Go Detroit

  • @nozzerjuice
    @nozzerjuice 7 лет назад +22

    who ever doesn't raise their hand to ask a question must sit in the corner wearing a dunce cap!

  • @josuedavid6584
    @josuedavid6584 6 лет назад

    I got test tomorrow and this video saved me.

  • @gakerenyingi6063
    @gakerenyingi6063 7 лет назад

    from Kenya your videos are very awesome
    thank you

    • @brianmclogan
      @brianmclogan  7 лет назад

      that is awesome! happy to be able to help you out!

  • @bbank5782
    @bbank5782 2 года назад +1

    The foci (-1, 0 +/- root 7) has to be further away from the center than the verticies (-1, 0 +/- 2). Root 7 is greater thatn 2.

  • @magikyle252
    @magikyle252 4 года назад +1

    How dafaq did you get the 2x ! You didn't explain it

  • @Emma-pv6xd
    @Emma-pv6xd 5 лет назад

    really out here saving my algebra II grade like that

  • @killer0200318
    @killer0200318 6 лет назад +1

    Where are the foci supposed to be

  • @kllyjrd
    @kllyjrd 11 лет назад

    I am the 100th Viewer! Thanks so much for helping me with math, I wish my teacher was like you.

  • @itnolongerexists2877
    @itnolongerexists2877 5 лет назад

    How do you when you have xy terms

  • @pro-films9920
    @pro-films9920 4 года назад +1

    That class room vibe ♥️

  • @jullianwoodard535
    @jullianwoodard535 6 лет назад +1

    man my pre-calc teacher an indian lady wit a strong indian accent and idk what shawty be sayin but this saved me thanks fam

  • @islamic_diariesbysidra..8466
    @islamic_diariesbysidra..8466 6 лет назад

    sir , i learned so much from your videos .. thank u

  • @trey6419
    @trey6419 6 лет назад

    1:52 I don't get where that "1" is coming from.. Why does it suddenly get added to (x²+2x) at 2:00 ?

    • @ivanpallino2605
      @ivanpallino2605 6 лет назад

      It was created to a perfect square trinomial

  • @arjungrover1451
    @arjungrover1451 7 лет назад

    jesus these vids help so much thanks Brian

  • @victorgabrielsioson6528
    @victorgabrielsioson6528 5 лет назад

    can you make a tutorial on how to get the latera recta of hyperbola?

  • @bryonsegunto8901
    @bryonsegunto8901 6 лет назад

    Is it possible to comeup with these asymptotes? 2x+sqrt3y-2=0 and -2x+sqrt3y+2=0

  • @marklista8221
    @marklista8221 5 лет назад

    This vid is so helpful to recall my knowledge about this. I don't understand what i wrote on my notes xD. Thanks sir!

  • @Madmun357
    @Madmun357 6 лет назад +2

    Another great video. Don't lose patience with your students. You're good at this, but it's their first time seeing this.

    • @brianmclogan
      @brianmclogan  6 лет назад +3

      Sometimes, sometimes a video I make is the 5th time they have seen it, however point well taken

  • @adbeellopez4792
    @adbeellopez4792 7 лет назад +1

    You're so nice that you don't get irritated with the dumb questions those kids be asking haha

    • @brianmclogan
      @brianmclogan  7 лет назад +3

      I am just trying to do my part to help, I was once in those shoes

  • @chessabelledablo3535
    @chessabelledablo3535 6 лет назад

    The method that he used in the beginning is that completing the square?

  • @PeterTandayu
    @PeterTandayu 3 месяца назад

    how about x²-4y²+8×=16y=31?

  • @sanamsanamrani6206
    @sanamsanamrani6206 Год назад +1

    Mashallh very good work

  • @HossG8
    @HossG8 7 лет назад

    How do you know which equation to use ???

    • @brianmclogan
      @brianmclogan  7 лет назад

      I hope this helps ruclips.net/video/UEA3kc2m3UQ/видео.html

  • @shelomithpotayre1114
    @shelomithpotayre1114 7 лет назад

    Is that one example of general equation of hyperbola?

  • @TheSSgator15
    @TheSSgator15 11 лет назад

    but what was the mustang news?

  • @infamousprince88
    @infamousprince88 7 лет назад

    how do you determine your a and b values? Because I watched and followed the steps but it looks like my equations were backwards. Not sure why though because my equation looks pretty much the same

    • @brianmclogan
      @brianmclogan  7 лет назад

      A and B are the coefficients of x and y squared.

  • @ryankandy
    @ryankandy 7 месяцев назад

    wow these are some legendary comments Im taking pre calc right now I wonder where all these people are at in their lives now.

  • @crissellshey7585
    @crissellshey7585 4 года назад

    besssssttttt teacherrrrr🥺✨

  • @MJ-nf5zh
    @MJ-nf5zh 5 лет назад

    this is a blessing

  • @AJ-et3vf
    @AJ-et3vf Год назад

    Great video. Thank you

  • @revenevren3344
    @revenevren3344 6 лет назад

    Wish you could be my pre-cal teacher. I do understand the way you discuss.

    • @brianmclogan
      @brianmclogan  6 лет назад +1

      Happy to help! I have plenty more videos to come

  • @letsgobuffalo19
    @letsgobuffalo19 11 лет назад

    This helps so much! thank you

  • @momalzahid4577
    @momalzahid4577 6 лет назад +1

    Can you teach integration and calculus too? Would mean a lot. Amazing videos thou.

    • @brianmclogan
      @brianmclogan  6 лет назад

      "#integration mclogan" give it a search, plenty of videos. Thanks

    • @momalzahid4577
      @momalzahid4577 6 лет назад

      Brian McLogan Thanks a lot. Keep guiding us.

    • @brianmclogan
      @brianmclogan  6 лет назад

      always😀

  • @alfredo19987
    @alfredo19987 7 лет назад

    what is the focus in an ellipse? please help

    • @brianmclogan
      @brianmclogan  7 лет назад

      an ellipse has two foci, they lie on the major axis and have a distance of c from the center

    • @imeprezime1285
      @imeprezime1285 3 года назад

      @@brianmclogan And what are TWO most important properties of these two points in an ellipse?

  • @georgeferman761
    @georgeferman761 3 года назад

    this dude really approximated the square root of 7 on the spot, wow

  • @nicolesteinmetz5363
    @nicolesteinmetz5363 7 лет назад

    Thank you so much! Helped a lot

  • @KinsGlory
    @KinsGlory 9 лет назад

    what happened with the 2x at 2:00?

    • @brianmclogan
      @brianmclogan  9 лет назад

      KinsGlory I completed the square

    • @KinsGlory
      @KinsGlory 9 лет назад

      Mr. McLogan's Math Channel ahh i see. thank you! Helping me study for my placement tests. Do me a favor and tell your hs students to not put it off! The only thing more tedius than taking them is having to re-learn everything two years later.

  • @jakemoody4464
    @jakemoody4464 10 лет назад

    THANK YOU MR.MCLOGAN!

    • @brianmclogan
      @brianmclogan  10 лет назад +1

      you are very welcome! happy to help!

  • @mutinyonline10
    @mutinyonline10 5 лет назад

    This lesson was a mess! Reminded me of my initial maths teacher this year, managed to change lecturer but stay in the same course and I actually learn things in class now. When it comes to maths it’s all up to the effort you put in and the teacher you have.

  • @miguelbanana220
    @miguelbanana220 5 лет назад

    How do you identify the center pleas i have test tomorrow???😭😭

  • @bubbybeefcakegaming3403
    @bubbybeefcakegaming3403 4 года назад +1

    amazing video, but that girl need to learn to raise her hand lol

  • @star9129
    @star9129 6 лет назад

    Mid-term exams tomorrow. pray for me!

  • @speciesunspecified2199
    @speciesunspecified2199 7 лет назад

    after getting the standard formula, what if there's a value beside (x-h)^2 .... the equation's like this, y^2 / 1 - 3(x-7)^2 / 2 = 1

    • @brianmclogan
      @brianmclogan  7 лет назад

      divide it out so that the (x-2)^2 is isolated

    • @speciesunspecified2199
      @speciesunspecified2199 7 лет назад

      Brian McLogan how can I divide it when there's already a denominator? And do I have to divide the other variable too?

  • @johnpatrickclemente547
    @johnpatrickclemente547 10 лет назад

    Thank you very much. This really helped a lot. :) keep it up.

  • @erikpogosyan7736
    @erikpogosyan7736 8 лет назад

    how is square root of 7 3.65???

    • @brianmclogan
      @brianmclogan  8 лет назад

      +Erik Pogosyan it is not it is approximately 3.65

  • @areyouchoking1471
    @areyouchoking1471 7 лет назад +5

    Those students who doesn't know how to raise their hand before asking a question. UGH!!! 😫😫

    • @brianmclogan
      @brianmclogan  7 лет назад +2

      haha seriously, I will take blame for allowing it

  • @Gogathebrains
    @Gogathebrains 4 года назад

    wow pure genius

  • @venczchannel
    @venczchannel 9 лет назад

    Thanks sir you help me alot new subscriber here :D

    • @brianmclogan
      @brianmclogan  9 лет назад +1

      Jace Cz Alexandersson perfect! happy to have you

  • @spencerfitz6023
    @spencerfitz6023 6 лет назад

    What if you’re given (y-4)squared=-12x

    • @brianmclogan
      @brianmclogan  6 лет назад

      then you do not have to complete the square, I have plenty of videos similar

  • @farahhamoudeh1368
    @farahhamoudeh1368 9 лет назад

    thank you so much ..you helped me a lot :)

    • @brianmclogan
      @brianmclogan  9 лет назад

      +Farah Hamoudeh you are very welcome! happy to be able to help

  • @katiecheng6551
    @katiecheng6551 5 лет назад +1

    7:50 brian mclogan snapped

  • @jayarciga5880
    @jayarciga5880 8 лет назад +1

    you da real MVP

  • @orggienyasoka2712
    @orggienyasoka2712 2 года назад

    Thanks very much

  • @Boyhoody
    @Boyhoody 5 лет назад

    THANK YOU THANK YOU THANK YOU!!!

  • @caitlinnorris5608
    @caitlinnorris5608 10 лет назад

    Be careful, this actually is mixed up. There is a comment box to the side, but in case you didn't notice, foci should go outside of the vertices, because the branches of a hyperbola should wrap around the foci, similar to a parabola. In an ellipse, the foci will be between the vertici, and in a hyperbola, it's outside.

    • @brianmclogan
      @brianmclogan  10 лет назад

      Did I mix that up or say it wrong, I would be surprised if I showed that but if so I will correct with an annotation because you are absolutely correct

    • @samdwight3504
      @samdwight3504 5 лет назад

      You can not maths as not well as your teacher.

  • @abdallahmusleh5613
    @abdallahmusleh5613 3 года назад

    love you man

  • @deograciascorderoii7299
    @deograciascorderoii7299 5 лет назад

    Thank you Sir!!!

  • @tianlam5394
    @tianlam5394 7 лет назад

    Wait so for Hyperbola c^2=a^2+b^2 is the equation used to find 'c' for the foci. But for a Ellipses you use a^2=b^2+c^2 to find 'c'. Is this correct?

  • @kafflechawds5660
    @kafflechawds5660 4 года назад

    ngl this be helping me in 2020 XD

  • @priMoN6
    @priMoN6 10 лет назад

    Very helpful!!!

    • @brianmclogan
      @brianmclogan  10 лет назад

      Fardin Islam perfect! happy to help

  • @nevergiveup7233
    @nevergiveup7233 4 года назад

    I'm from egypt master
    Where are you from

  • @Problem_Solvedorg
    @Problem_Solvedorg 4 года назад

    Amazing!

  • @nidhishgautam9043
    @nidhishgautam9043 8 лет назад

    is this video from school or the tuitions you take after the school?

    • @brianmclogan
      @brianmclogan  8 лет назад

      +nidhish gautam during school, but I also record after school and during the summer

  • @brianmclogan
    @brianmclogan  11 лет назад +1

    hahaha just our school news

    • @KnightzANT
      @KnightzANT 5 лет назад

      Do you teach at Mandarin high school in Jax FL? they're also the Mustangs.. !

  • @fairoozzahin4414
    @fairoozzahin4414 6 лет назад

    Can someone help me with this? thank you.
    The graph of y = −x4 + 12x − 18
    (A) intersects the x-axis at exactly one point.
    (B) intersects the x-axis at exactly two points.
    (C) intersects the x-axis at exactly three points.
    (D) intersects the x-axis at exactly four points.
    (E) does not intersect the x-axis.

    • @brianmclogan
      @brianmclogan  6 лет назад

      Sorry I am unable to focus on problems outside of class but hopefully someone can help

    • @fairoozzahin4414
      @fairoozzahin4414 6 лет назад

      Not nice for a teacher but thanks anyway

    • @brianmclogan
      @brianmclogan  6 лет назад +1

      not nice? I do what I can to help but there is simply not enough time in the day for me to answer specific questions I receive every day. I hope you would understand that

    • @fairoozzahin4414
      @fairoozzahin4414 6 лет назад

      Now hold on...you have the time to reply to a video over 5 years old but you don't have time to even
      bother reading the question seeing if it's possible to help. Why the heck would I ask if I wasn't soo desperate
      because I don't have anyone to ask . But no... go back to your business. This is the condition
      of things half way around the world. So much for asking for HeLp...LMAO BYE

    • @brianmclogan
      @brianmclogan  6 лет назад +1

      I did read your question, and was unable to determine a quick answer that I could provide. I try to help as much I can but do received a lot of questions and just simply unable to help everyone that has a question.

  • @thevegetableaddict4625
    @thevegetableaddict4625 10 лет назад

    As Jim Carey said... B e autiful!

  • @halwestnoraden3957
    @halwestnoraden3957 11 лет назад

    thank you