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

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  • Опубліковано 17 гру 2024

КОМЕНТАРІ • 264

  • @noahpierce5205
    @noahpierce5205 7 років тому +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 років тому +37

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

    • @christina-mz1lp
      @christina-mz1lp Рік тому

      I’m trying precalc so hard :(

  • @brianmclogan
    @brianmclogan  11 років тому +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 років тому +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 Рік тому

      Thanks so much for this video

  • @brianmclogan
    @brianmclogan  11 років тому +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 років тому +19

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

    • @jasonyntig717
      @jasonyntig717 4 роки тому +3

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

    • @BOSS-nz2hw
      @BOSS-nz2hw 4 роки тому +4

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

  • @MrDubs
    @MrDubs 6 років тому +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 років тому

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

  • @claramutsakanyi3790
    @claramutsakanyi3790 7 років тому +39

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

    • @brianmclogan
      @brianmclogan  7 років тому +4

      I like that too

    • @irehman7
      @irehman7 6 років тому

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

  • @ikennao5299
    @ikennao5299 7 років тому +12

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

    • @brianmclogan
      @brianmclogan  7 років тому +4

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

  • @MugeSheldon-w8z
    @MugeSheldon-w8z 3 місяці тому

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

  • @madeleinekreger8309
    @madeleinekreger8309 7 років тому +20

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

    • @brianmclogan
      @brianmclogan  7 років тому +1

      awesome! happy to be able to help you out

    • @hoshimiazami18
      @hoshimiazami18 6 років тому +1

      Madeleine Kreger yeah me too

  • @luxus20
    @luxus20 7 років тому +26

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

  • @hiyashah2335
    @hiyashah2335 5 років тому

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

  • @ryanjayreyes7019
    @ryanjayreyes7019 7 років тому +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 років тому

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

    • @ryanjayreyes7019
      @ryanjayreyes7019 7 років тому

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

    • @brianmclogan
      @brianmclogan  7 років тому +1

      ohhh yes

  • @tyhararain7856
    @tyhararain7856 10 років тому +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!

  • @BasketballPownage
    @BasketballPownage 9 років тому +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 років тому

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

  • @ak-up8fg
    @ak-up8fg 3 роки тому

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

  • @kalebrizer6829
    @kalebrizer6829 5 років тому +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.

  • @Jan_ice
    @Jan_ice 7 місяців тому

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

  • @ranjithraj36
    @ranjithraj36 4 роки тому +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

  • @michaeldickson36
    @michaeldickson36 7 років тому

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

  • @JasleenKaur-ht5km
    @JasleenKaur-ht5km 7 років тому +67

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

    • @brianmclogan
      @brianmclogan  7 років тому +17

      good catch, thanks! I will update on the video

    • @keenanweind1780
      @keenanweind1780 6 років тому

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

    • @jamesruwe5566
      @jamesruwe5566 6 років тому +1

      a^2-b^2=c^2

    • @carlmina4287
      @carlmina4287 5 років тому +1

      @@jamesruwe5566 no, on hyperbola its addition bruv

  • @GlennEmmanuelPMardo
    @GlennEmmanuelPMardo 6 років тому

    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 років тому

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

  • @1121jitseng
    @1121jitseng 6 років тому

    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 років тому

      you are very welcome and happy to be able to help

    • @1121jitseng
      @1121jitseng 6 років тому

      Can sir do more discussion on stpm maths level?

  • @brianmclogan
    @brianmclogan  11 років тому +3

    you are welcome!

  • @ricaprincesstonga712
    @ricaprincesstonga712 5 років тому +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...

  • @morganjones616
    @morganjones616 4 роки тому

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

  • @themegachan1
    @themegachan1 10 років тому +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 :)

  • @bbank5782
    @bbank5782 2 роки тому +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.

  • @parhama1388
    @parhama1388 7 років тому

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

  • @nozzerjuice
    @nozzerjuice 7 років тому +22

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

  • @brianmclogan
    @brianmclogan  11 років тому +3

    you are very welcome! Go Detroit

  • @darrell3806
    @darrell3806 7 років тому

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

    • @brianmclogan
      @brianmclogan  7 років тому +1

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

    • @sadgurusachhivani7171
      @sadgurusachhivani7171 7 років тому

      really helpful
      but one problem is that letters are nt clear

  • @aidengluck261
    @aidengluck261 4 роки тому

    This guy is carrying me through my classes

  • @gakerenyingi6063
    @gakerenyingi6063 7 років тому

    from Kenya your videos are very awesome
    thank you

    • @brianmclogan
      @brianmclogan  7 років тому

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

  • @STONEAJE
    @STONEAJE 10 років тому

    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 років тому

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

  • @cocoabunny13
    @cocoabunny13 10 років тому +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 років тому

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

  • @josuedavid6584
    @josuedavid6584 6 років тому

    I got test tomorrow and this video saved me.

  • @Emma-pv6xd
    @Emma-pv6xd 5 років тому

    really out here saving my algebra II grade like that

  • @Madmun357
    @Madmun357 6 років тому +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 років тому +3

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

  • @islamic_diariesbysidra..8466
    @islamic_diariesbysidra..8466 6 років тому

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

  • @marklista8221
    @marklista8221 5 років тому

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

  • @trey6419
    @trey6419 6 років тому

    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 років тому

      It was created to a perfect square trinomial

  • @ryankandy
    @ryankandy 7 місяців тому

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

  • @jullianwoodard535
    @jullianwoodard535 6 років тому +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

    • @brianmclogan
      @brianmclogan  6 років тому

      happy to be able to help you out!

  • @kllyjrd
    @kllyjrd 11 років тому

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

  • @crissellshey7585
    @crissellshey7585 4 роки тому

    besssssttttt teacherrrrr🥺✨

  • @pro-films9920
    @pro-films9920 4 роки тому +1

    That class room vibe ♥️

  • @chandlerpartee7477
    @chandlerpartee7477 6 років тому +175

    His students are so annoying lmao

    • @brianmclogan
      @brianmclogan  6 років тому +76

      well some are trying to learn, some are............

    • @Timthespy
      @Timthespy 6 років тому +2

      welp then can you participate better than them? I bet you wont be able to focus on the start with that attitude and personality, no one will try to teach you

    • @shayakibnafaruqui7745
      @shayakibnafaruqui7745 6 років тому +1

      they are teens i bet..

    • @descout6474
      @descout6474 5 років тому +10

      Chandler Partee you are pretty dang rude. They are trying to learn too, just as you are. Don't make silly comments about people who try their best. So low.

    • @tranquilitypeace-quiet-med8225
      @tranquilitypeace-quiet-med8225 5 років тому +2

      @@brianmclogan hahahahahahaha

  • @revenevren3344
    @revenevren3344 6 років тому

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

    • @brianmclogan
      @brianmclogan  6 років тому +1

      Happy to help! I have plenty more videos to come

  • @mutinyonline10
    @mutinyonline10 5 років тому

    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.

  • @arjungrover1451
    @arjungrover1451 7 років тому

    jesus these vids help so much thanks Brian

  • @adbeellopez4792
    @adbeellopez4792 7 років тому +1

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

    • @brianmclogan
      @brianmclogan  7 років тому +3

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

  • @hook8033
    @hook8033 11 років тому +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

  • @infamousprince88
    @infamousprince88 7 років тому

    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 років тому

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

  • @star9129
    @star9129 6 років тому

    Mid-term exams tomorrow. pray for me!

  • @sanamsanamrani6206
    @sanamsanamrani6206 Рік тому +1

    Mashallh very good work

  • @momalzahid4577
    @momalzahid4577 6 років тому +1

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

    • @brianmclogan
      @brianmclogan  6 років тому

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

    • @momalzahid4577
      @momalzahid4577 6 років тому

      Brian McLogan Thanks a lot. Keep guiding us.

    • @brianmclogan
      @brianmclogan  6 років тому

      always😀

  • @victorgabrielsioson6528
    @victorgabrielsioson6528 5 років тому

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

  • @KinsGlory
    @KinsGlory 9 років тому

    what happened with the 2x at 2:00?

    • @brianmclogan
      @brianmclogan  9 років тому

      KinsGlory I completed the square

    • @KinsGlory
      @KinsGlory 9 років тому

      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.

  • @AJ-et3vf
    @AJ-et3vf Рік тому

    Great video. Thank you

  • @areyouchoking1471
    @areyouchoking1471 7 років тому +5

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

    • @brianmclogan
      @brianmclogan  7 років тому +2

      haha seriously, I will take blame for allowing it

  • @bubbybeefcakegaming3403
    @bubbybeefcakegaming3403 4 роки тому +1

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

  • @nicolesteinmetz5363
    @nicolesteinmetz5363 7 років тому

    Thank you so much! Helped a lot

  • @georgeferman761
    @georgeferman761 3 роки тому

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

  • @chessabelledablo3535
    @chessabelledablo3535 6 років тому

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

  • @jakemoody4464
    @jakemoody4464 10 років тому

    THANK YOU MR.MCLOGAN!

    • @brianmclogan
      @brianmclogan  10 років тому +1

      you are very welcome! happy to help!

  • @halamadridjm
    @halamadridjm 10 років тому

    My teacher said everything you said but with addition\subtraction. Like the c^2=a^2-b2or [(x-h)^2÷a^2]+[(y-k)^2÷b^2]

    • @brianmclogan
      @brianmclogan  10 років тому +1

      Juan Maturino it is different for hyperbolas then ellipses

    • @halamadridjm
      @halamadridjm 10 років тому

      Thanks! I just noticed that

  • @MJ-nf5zh
    @MJ-nf5zh 5 років тому

    this is a blessing

  • @katiecheng6551
    @katiecheng6551 5 років тому +1

    7:50 brian mclogan snapped

  • @venczchannel
    @venczchannel 9 років тому

    Thanks sir you help me alot new subscriber here :D

    • @brianmclogan
      @brianmclogan  9 років тому +1

      Jace Cz Alexandersson perfect! happy to have you

  • @bryonsegunto8901
    @bryonsegunto8901 6 років тому

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

  • @johnyzerbation1623
    @johnyzerbation1623 2 роки тому +1

    0:19 there's nothing terrible there though

  • @magikyle252
    @magikyle252 4 роки тому +1

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

  • @farahhamoudeh1368
    @farahhamoudeh1368 9 років тому

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

    • @brianmclogan
      @brianmclogan  9 років тому

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

  • @johnpatrickclemente547
    @johnpatrickclemente547 10 років тому

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

  • @speciesunspecified2199
    @speciesunspecified2199 7 років тому

    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 років тому

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

    • @speciesunspecified2199
      @speciesunspecified2199 7 років тому

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

  • @shelomithpotayre1114
    @shelomithpotayre1114 7 років тому

    Is that one example of general equation of hyperbola?

  • @caitlinnorris5608
    @caitlinnorris5608 10 років тому

    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 років тому

      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 років тому

      You can not maths as not well as your teacher.

  • @letsgobuffalo19
    @letsgobuffalo19 11 років тому

    This helps so much! thank you

  • @HossG8
    @HossG8 7 років тому

    How do you know which equation to use ???

    • @brianmclogan
      @brianmclogan  7 років тому

      I hope this helps ua-cam.com/video/UEA3kc2m3UQ/v-deo.html

  • @killer0200318
    @killer0200318 6 років тому +1

    Where are the foci supposed to be

  • @jayarciga5880
    @jayarciga5880 8 років тому +1

    you da real MVP

  • @miguelbanana220
    @miguelbanana220 5 років тому

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

  • @Boyhoody
    @Boyhoody 5 років тому

    THANK YOU THANK YOU THANK YOU!!!

  • @Gogathebrains
    @Gogathebrains 4 роки тому

    wow pure genius

  • @itnolongerexists2877
    @itnolongerexists2877 5 років тому

    How do you when you have xy terms

  • @jonathans.219
    @jonathans.219 16 днів тому

    Boys I’m boutta get a 100 on this next test

  • @alfredo19987
    @alfredo19987 7 років тому

    what is the focus in an ellipse? please help

    • @brianmclogan
      @brianmclogan  7 років тому

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

    • @imeprezime1285
      @imeprezime1285 3 роки тому

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

  • @fairoozzahin4414
    @fairoozzahin4414 6 років тому

    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 років тому

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

    • @fairoozzahin4414
      @fairoozzahin4414 6 років тому

      Not nice for a teacher but thanks anyway

    • @brianmclogan
      @brianmclogan  6 років тому +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 років тому

      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 років тому +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.

  • @abdallahmusleh5613
    @abdallahmusleh5613 3 роки тому

    love you man

  • @orggienyasoka2712
    @orggienyasoka2712 2 роки тому

    Thanks very much

  • @deograciascorderoii7299
    @deograciascorderoii7299 5 років тому

    Thank you Sir!!!

  • @PeterTandayu
    @PeterTandayu 3 місяці тому

    how about x²-4y²+8×=16y=31?

  • @kafflechawds5660
    @kafflechawds5660 4 роки тому

    ngl this be helping me in 2020 XD

  • @earldavidbasal8362
    @earldavidbasal8362 Рік тому

    solid lods

  • @abasidoferdinand3295
    @abasidoferdinand3295 7 років тому

    You are making sense but it is not clear from the board

    • @brianmclogan
      @brianmclogan  7 років тому

      do you have a question?

    • @abasidoferdinand3295
      @abasidoferdinand3295 7 років тому

      what is the equation of a shape of an ellipse

    • @brianmclogan
      @brianmclogan  7 років тому +1

      The equation for an ellipse? It depends if it has a vertical or horizontal major axis. Is that what you asking about?

  • @thevegetableaddict4625
    @thevegetableaddict4625 10 років тому

    As Jim Carey said... B e autiful!

  • @priMoN6
    @priMoN6 10 років тому

    Very helpful!!!

    • @brianmclogan
      @brianmclogan  10 років тому

      Fardin Islam perfect! happy to help

  • @akisahmarmaya7368
    @akisahmarmaya7368 7 років тому

    hoping someday u can teach me how to solve hyperbola

    • @brianmclogan
      @brianmclogan  7 років тому

      WHAT DO YOU MEAN "SOLVE HYPERBOLA"

    • @akisahmarmaya7368
      @akisahmarmaya7368 7 років тому

      what i mean is solving because im really weak in math

  • @tianlam5394
    @tianlam5394 7 років тому

    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?

  • @nevergiveup7233
    @nevergiveup7233 4 роки тому

    I'm from egypt master
    Where are you from