How to write an ellipse in standard form to find the center, foci and vertices

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  • Опубликовано: 15 дек 2024

Комментарии • 179

  • @brianmclogan
    @brianmclogan  11 лет назад +121

    happy to help!

  • @janeiffellafable272
    @janeiffellafable272 4 года назад +72

    who's watching dis 2020?????!!!
    BECAUSE OF ONLINE CLASS? is it me only?!?!

  • @chatalola96
    @chatalola96 9 лет назад +57

    You are amazing! Learned SO much, I wish you were my teacher. I love how detailed you are in your explanations of why you are doing what you are doing in each step. :)

    • @sebastianryder8311
      @sebastianryder8311 3 года назад +1

      i know im asking the wrong place but does any of you know of a tool to log back into an instagram account?
      I was stupid forgot my login password. I would appreciate any tips you can give me!

    • @walkerleonel6233
      @walkerleonel6233 3 года назад

      @Sebastian Ryder instablaster ;)

    • @sebastianryder8311
      @sebastianryder8311 3 года назад

      @Walker Leonel thanks for your reply. I found the site thru google and I'm trying it out now.
      Seems to take quite some time so I will reply here later when my account password hopefully is recovered.

    • @sebastianryder8311
      @sebastianryder8311 3 года назад

      @Walker Leonel it worked and I finally got access to my account again. Im so happy:D
      Thank you so much you saved my account!

    • @walkerleonel6233
      @walkerleonel6233 3 года назад

      @Sebastian Ryder Glad I could help =)

  • @aliciadevlinder
    @aliciadevlinder Год назад

    Thank you for posting these sessions publicly! They are a great help for me, while starting a math major with plenty of catching up to do. You explain really well and the fact that it's not just an explainer has helped me learn from the questions in your audience as well. Thank you so much!

  • @SophieSquid
    @SophieSquid 4 года назад +19

    I wish we did stuff like this instead of inverted classrooms where we just watch videos and work in class

  • @AintNobody890
    @AintNobody890 3 года назад +1

    YOUR THE BEST TEACHER EVER! I Learned a ton

  • @mickay7199
    @mickay7199 3 года назад +1

    Your videos save my study. ❤️

  • @anaramirez-pinto8305
    @anaramirez-pinto8305 2 года назад

    My teacher spends so long explaining how we get proofs and never teaches us how to apply them thank you so much for teaching them so well and in a reasonable time! Thank you!

  • @izu1489
    @izu1489 3 года назад

    Since grade 8, I always check your yt for math lessons!! and now I'm in grade 11 and still learning from you, tysm sir!!

  • @shabaanqureshi5403
    @shabaanqureshi5403 10 лет назад +10

    This is so much helpful. Would definitely recommend it to others. Thank you!

    • @brianmclogan
      @brianmclogan  10 лет назад +3

      Shabaan Qureshi awesome! happy to be able to assist you

  • @rinopaulbadillagacita5396
    @rinopaulbadillagacita5396 5 лет назад +39

    Johnny sins is now teaching conic sections ,what the Fuç3

  • @agathernakiweewa3934
    @agathernakiweewa3934 Год назад

    you are a wonderful lecturer, i have been struggling thank u so much.

  • @Chrisymcmb
    @Chrisymcmb 4 года назад +1

    This is exactly what I was looking for, thanks Professor McLogan!

  • @axolotlm1094
    @axolotlm1094 Год назад

    God bless you Mr McLogan.

  • @moecrosby7587
    @moecrosby7587 2 года назад +1

    I do these problems on paper before I watch the video. I was tripped-up on the 25/16 part and got the wrong answer. But I know I won't make that same mistake next time. It was good seeing you have to pause to check things in the book too. If it was stretching your thinking, then it was also stretching your students' thinking.

  • @lukasismissing6176
    @lukasismissing6176 4 года назад +1

    I don't understand around 6:55. How did he get the binomial things? I might've missed something or got confused, I'm not sure, but it feels like you're just dropping the middle number?

    • @MrPerry435
      @MrPerry435 4 года назад +1

      I’m probably too late, but it’s because he completed the square. You drop the exponent value because it’s squared. and he got x-1 because b/2^2 equaled -1.

  • @mickay7199
    @mickay7199 3 года назад +1

    Ahhhhh So helpful Sir. Thank you.

  • @emmaconlon7417
    @emmaconlon7417 4 года назад

    DUDE IM WATCHING THIS IS IN 2020 AND ITS SAVING ME

  • @GreaterDeity
    @GreaterDeity 9 лет назад +1

    Always incredibly helpful. Find myself coming back here all the time to relearn things so I can help others. lol The Circle of Math.

    • @brianmclogan
      @brianmclogan  9 лет назад

      ***** great to hear from you Sheane, hope all is well

    • @frimadona541
      @frimadona541 9 лет назад

      Mr. McLogan's Math Channel thank you mr Mclogan's
      I am indonesia

  • @mehtabahmed5331
    @mehtabahmed5331 8 лет назад +1

    after two months i'm watching this again because i would never get bored.

  • @ShrutikaDongre-q5c
    @ShrutikaDongre-q5c 6 месяцев назад

    U literally saved my life

  • @animeash92
    @animeash92 4 года назад +18

    hi, I'm studying to become an educator and I've noticed you made some minor mistakes and the students corrected you. Is this a strategy to ensure their engagement in the material? If so I think that is a brilliant idea!

  • @ashercrix1858
    @ashercrix1858 4 года назад +1

    Sir what if my perfect square trinomial is a fraction? What should I do??

  • @faithisabel25
    @faithisabel25 7 лет назад +5

    Thank you for your informative lecture, Sir Brian :-)

  • @cartilo2619
    @cartilo2619 3 года назад

    2021 and this video saved my homework, thank you so much Sir McLogan!

  • @jettbonjibod9962
    @jettbonjibod9962 2 года назад +1

    one question, Sir. At 11:15 - how did you get 4 as the value of b? thanks for all your math videos, really helpful

    • @ggplayz14
      @ggplayz14 2 года назад +1

      someone cleared it up, and the prof probably just misread the b as 4 instead of 1.

  • @ma.lourdesumpad9170
    @ma.lourdesumpad9170 4 года назад

    HOW CAN SOMEONE BE SO GOOD AT MATH ? HUHUYU THANK YOU SIR!

  • @patricianeo2953
    @patricianeo2953 5 лет назад +2

    Sir can you teach me how to find the perfect ,foci in x -axis?

  • @pouletdelamer3930
    @pouletdelamer3930 6 лет назад

    You are saving my life, sir.

  • @dsp4ir
    @dsp4ir Год назад

    at 6:59 how did you get 16(x-1)^2+25(y+1)^2 ?? that's the exact part i needed help on for my work and i have no clue what to do

  • @rohanraj4909
    @rohanraj4909 2 года назад

    Sir love your solutions ..... I wish u would be my teacher 🥺 in INDIA 💛

  • @anthonymanuel8403
    @anthonymanuel8403 6 лет назад

    You are teaching us the way that we cant understand . Thabk god there are some people there who ask question

    • @brianmclogan
      @brianmclogan  6 лет назад

      and reteach I do and rerecord I do. I have plenty of examples and videos to help explain each topic

  • @hiyamadnan4421
    @hiyamadnan4421 2 года назад

    Thanks a million...you've really helped me💥

  • @hahadakota4111
    @hahadakota4111 6 лет назад +1

    Thanks my guy, I actually got this one down. I feel less stupid now 👏🏽

    • @brianmclogan
      @brianmclogan  6 лет назад

      haha you are very welcome! happy to be able to help

  • @missy3041
    @missy3041 3 года назад +1

    What if instead of -32x, it is a -8x? My teacher gave me that problem but I noticed that the second term is smaller, that’s why I don’t know how to proceed.

  • @maveejanebasan7109
    @maveejanebasan7109 4 года назад +1

    Hello sir! I wanna ask if what is maximum and minimum point on the major and minor axis represnts??
    Thank you in advance

  • @lillybumsroblox6367
    @lillybumsroblox6367 6 лет назад +5

    why does ellipse have many formula? i thought its just x squared over a squared plus y squared over b squared

  • @VTsimpingSan
    @VTsimpingSan 6 лет назад +4

    Omg thank you for this.

  • @Legendfound-x8e
    @Legendfound-x8e 7 месяцев назад

    Sir, you are so smart and above all, so funny.

  • @dahelmang
    @dahelmang 4 года назад

    How do I find the video before this where you explain what all these things mean?

  • @austinszone8025
    @austinszone8025 2 года назад

    Mad respect sir+ tysmmm! Love from st Xavier's College Mumbai, india .....wish i could attend ur live lec

  • @NIKS-sy1fh
    @NIKS-sy1fh 8 лет назад +4

    sir will u show the reduced form of 7x^2+8xy+y^2+6x+6y-9=0 &find its eccentricity,lengths of axes?.........plz

    • @brianmclogan
      @brianmclogan  8 лет назад +2

      +BLIND DATE you will need to know how to complete the square, search my channel for completing the square and ellipse and I have plenty of videos for that

    • @edwinrajoo6874
      @edwinrajoo6874 7 лет назад +1

      Brian McLogan but sir that equation has an xy term how do we complete the square for that?

    • @davidzhu3525
      @davidzhu3525 6 лет назад

      Rickey Zee if there is a xy then it’s not an ellipse

  • @monkeypolicd
    @monkeypolicd 9 лет назад +29

    college lectures sucks they skip so much work.

    • @brianmclogan
      @brianmclogan  9 лет назад +4

      +monkeypolicd understand, hopefully my videos can help fill in the holes for you

    • @monkeypolicd
      @monkeypolicd 9 лет назад +3

      +Mr. McLogan's Math Channel well high school teachers do go in details which helps alot thx man.

    • @lizzie8084
      @lizzie8084 5 лет назад

      I’m learning this is 8th grade you rly shouldn’t be talking..

    • @imlegit8325
      @imlegit8325 5 лет назад

      Eli lmao I’m in the 6th grade learning this. You REALLY shouldn’t be talking

  • @iitsLuminous
    @iitsLuminous 6 лет назад

    Just have to say thank you for the help

  • @jamescastro2929
    @jamescastro2929 6 лет назад

    Great video man. Thanks

  • @edbrown4553
    @edbrown4553 4 года назад

    How did it become 16/16 at 12:00 pls

  • @bigbrain779
    @bigbrain779 6 лет назад

    Wow this video actually helped so much!

  • @wisewise7396
    @wisewise7396 Год назад

    Thank you very much

  • @marquezjerichoc.8258
    @marquezjerichoc.8258 4 года назад

    Thank you Thank you Big Help

  • @jeremyrobin2434
    @jeremyrobin2434 6 лет назад

    How can we get an area of that equation of ellipse sir. Can you help me?

  • @mohameddara839
    @mohameddara839 3 года назад

    🔥🔥🔥😻😻i like your explannation

  • @トリホスチャールズ
    @トリホスチャールズ 3 года назад

    thank u for helping me.

  • @asj2749
    @asj2749 Год назад

    good video
    Thank you!!

  • @mekdestsegaye9825
    @mekdestsegaye9825 2 года назад

    Thank you

  • @wig5684
    @wig5684 2 года назад

    Truly the reason for my passing grade

  • @patriciakate9097
    @patriciakate9097 5 лет назад

    this video is helpful 👌❤

  • @malikmohamed4217
    @malikmohamed4217 10 лет назад +1

    thank you, you are a great help!

  • @calebevans5607
    @calebevans5607 11 лет назад

    Great Video, thanks for the help.

  • @armanmomin6165
    @armanmomin6165 7 лет назад +2

    i have a question what state are u in

  • @pillowyflunky9931
    @pillowyflunky9931 2 года назад

    thank you sir

  • @francisnyendwa5550
    @francisnyendwa5550 2 года назад

    Wonderful 😊

  • @JymLacs
    @JymLacs 4 года назад

    The formula of the pythagorean theorem is a^2+b^2=c^2, right?
    Why is his formula when finding the c^2, is a^2=b^2+c^2???

  • @ravenslade8638
    @ravenslade8638 2 года назад

    i don’t understand how you find whether h and k are positive or negative. im doing this rn to study for a test and i cant seem to figure it out

  • @Cscottrun53
    @Cscottrun53 7 лет назад

    what if in the equation I get a coefficient on the x term?

    • @brianmclogan
      @brianmclogan  7 лет назад

      then rewrite it as a fractional denominator like I did in this example

  • @Lavos5181
    @Lavos5181 8 лет назад

    how do you find the general equation
    from the standard formula

    • @brianmclogan
      @brianmclogan  8 лет назад +1

      so the same problem I did but working backwards?

  • @mehtabahmed5331
    @mehtabahmed5331 9 лет назад +1

    you rock.

  • @tellurmumgotohell
    @tellurmumgotohell 5 лет назад

    What happened to "doing the same thing on the other side".?

  • @paulusmaongo9455
    @paulusmaongo9455 4 года назад

    can you help me out with 9x^2+4y^2+27x-8y-126=0

  • @guyhi1234567899
    @guyhi1234567899 10 лет назад

    Thanks!

  • @porittoe
    @porittoe 4 года назад

    thank you very much for this

  • @killuazoldyck841
    @killuazoldyck841 5 лет назад +1

    I'm lost at 10:04 pls help me
    -Sorry im a slow learner person

  • @songjiho5148
    @songjiho5148 7 лет назад

    what if the given is not complete ,for example 4x^2 + 3x^2-16x+4=0

    • @brianmclogan
      @brianmclogan  7 лет назад +1

      Here is a playlist I created with more examples of completing the square
      ruclips.net/p/PL0G-Nd0V5ZMooC5Z-Xy9z3msyS3fr61F7

  • @lugawplain1117
    @lugawplain1117 8 лет назад +1

    Hi there :D
    im looking for the standard form of my ellipse with the center at the origin :)
    and the problem is :
    Major axis on y-axis, length of the minor axis is 20 and the distance of foci from center is Square root of 70 or √70
    i wish you could help me thank you

    • @brianmclogan
      @brianmclogan  8 лет назад +1

      so based on what you know b is 10 c is sqrt 70. Use the formula c^2=a^2-b^2 to find a. Then plug into the equation for a vertical ellipse x^2/b^2 - y^2/a^2 = 1 since h and k are zero. That help?

  • @giottovongolaprimo4146
    @giottovongolaprimo4146 8 лет назад

    mr.mclogan sir how to compute the second eccentricity of an ellipse if the farthest distance of the earth from the sun(apogee) is 24 million miles and its nearest distance from the sun (perigee) is 6 million miles.assume the earth's orbit is an ellipses with the sum a one of the foci. i dont know the second eccentricty my teacher didnt discuss that to us.

    • @brianmclogan
      @brianmclogan  8 лет назад

      +Yielding Brute I am only aware of one eccentricity of an ellise

    • @edwinrajoo6874
      @edwinrajoo6874 7 лет назад

      Giotto Vongola Primo eccentricity is just the ratio between the distance of a point from a fixed point to the distance of the point from a fixed line so you can't have more than one

  • @pardillaangelo7964
    @pardillaangelo7964 6 лет назад

    how'd you get that 5/4? T.T

  • @deerhunterr99
    @deerhunterr99 7 лет назад +1

    I thought you had to divide each side by the coefficient to cancel the coefficients out and also equal 1. Instead of dividing both sides by 25, divide the opposite side by 25 and the other side by 16.

    • @brianmclogan
      @brianmclogan  7 лет назад

      no what you do to one side you have to do to the other, so by dividing by 25 I make one side 1 and simplify the coefficients on the other side

  • @nezyha
    @nezyha 8 лет назад +1

    I still don't get how to tell if the equation's graph is horizontal or vertical.

    • @brianmclogan
      @brianmclogan  8 лет назад +4

      +Aphotic a^2 is always larger than b^2 for an ellipse. If the larger number or a^2 is under (x-h)^2 then it has a horizontal major axis. If a^2 is under the (y-k)^2 then it has a vertical major axis. This is because a is the distance from the center to the vertices on the major axis

    • @nezyha
      @nezyha 8 лет назад

      aha thanks I was really confused because i came to a problem in which a^2 was the same as b^2, and I still don't understand that part. But the video was really great and helped with everything else.

    • @edwinrajoo6874
      @edwinrajoo6874 7 лет назад +2

      Nezyha I know this is kinda late but when a^2=b^2 it is a circle

    • @yeeman421
      @yeeman421 5 лет назад

      @@edwinrajoo6874 2 years late smh

  • @jasmacalam9772
    @jasmacalam9772 4 года назад

    Hello kababayang taga-Duero, Skwela ta tarung paytiiiiiing!!!!❤

  • @jrgatica26
    @jrgatica26 6 лет назад

    Thanks! Randy Orton

  • @andra2257
    @andra2257 4 года назад

    nagbayad parents ko for the tuition para matuto pero pupunta ako sa youtube para matuto, YES TO ACADEMIC FREEZE

    • @edwardgaming466
      @edwardgaming466 4 года назад

      Online class gaming ka rin??? Hahahaha

    • @andra2257
      @andra2257 4 года назад

      @@edwardgaming466 oo kaistress!

    • @edwardgaming466
      @edwardgaming466 4 года назад +1

      @@andra2257 kayang kaya mo yan! Goodluck!!!😊😉

    • @andra2257
      @andra2257 4 года назад +1

      @@edwardgaming466 thank youuu sayo din! fightinggg!!

    • @edwardgaming466
      @edwardgaming466 4 года назад

      @@andra2257 Welcome!!!😉😊❤

  • @dominicringoma1520
    @dominicringoma1520 5 лет назад

    Thank yu

  • @FortNite-gw8pk
    @FortNite-gw8pk 3 года назад

    Sir how a solve 4x²+y²-8x+6y thank you for answer❤️

  • @maxsfakeaccount1158
    @maxsfakeaccount1158 7 лет назад +5

    4:00 Great informative vide-- mother of god why would you write the number 6 like that

    • @brianmclogan
      @brianmclogan  7 лет назад +2

      haha you are not the first to tell me I am crazy for how I write my sixes

  • @ibnameyr
    @ibnameyr 7 лет назад

    Please I'm in need of this solution ,am taking bachelor's degree in education, you tutorials are fundamental to me,interested

  • @jervishhidalgo8342
    @jervishhidalgo8342 3 года назад

    where did you get the 2x and 2y😭😭

  • @patricianeo2953
    @patricianeo2953 5 лет назад

    4x²+9y²-16x+18y-11=0 find the center ,foci,vertices

  • @andreimiguelserundo816
    @andreimiguelserundo816 7 лет назад

    The a^2 would be 1.56

  • @tonetterala2377
    @tonetterala2377 7 лет назад

    How come
    a^2 = b^2 + c^2
    isn't it c^2=a^2+b^2
    ???

    • @brianmclogan
      @brianmclogan  7 лет назад

      that is for a hyperbola ellipse is c^2=a^2-b^2 or how it is first written

  • @bianivan
    @bianivan 4 года назад

    STEM paaaa!!!

  • @nkebeshaclaudine3719
    @nkebeshaclaudine3719 3 года назад

    I did not see that you have replaced 36x by 32x I beg your pardon.

  • @satyabantasanjenbam
    @satyabantasanjenbam 4 года назад

    my brain just broke. equation i have is 6xsqare+25ysq-512x+150y-351=0. here i cnt take common between the x (suppose i take it fraction) then in trinomial as in the video 7:10 (b/2)sq=1819.02 nw who wants to solve my problm?

  • @chupacabra9357
    @chupacabra9357 5 лет назад

    This guy's face slightly resembles Ben Shapiro.

  • @zeno3068
    @zeno3068 5 лет назад

    Where's your lr 1 2 3 4

  • @cxmxcl
    @cxmxcl 2 года назад

    O7

  • @techsupport7273
    @techsupport7273 3 года назад

    How did you know at first glance that this is an ellipse not a circle?

  • @aidoru3414
    @aidoru3414 6 лет назад

    There is a god

  • @parungaokenangelo3497
    @parungaokenangelo3497 5 лет назад

    Stem pa hahahaha!

  • @veronicaa9176
    @veronicaa9176 2 года назад

    so hard to catch up 😭

  • @najlafaisal_
    @najlafaisal_ 3 года назад

    wala parin ako nagets

  • @Roblox_gamer-jy4kw
    @Roblox_gamer-jy4kw 4 года назад

    H