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

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  • เผยแพร่เมื่อ 27 ก.ย. 2024

ความคิดเห็น • 179

  • @janeiffellafable272
    @janeiffellafable272 4 ปีที่แล้ว +73

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

    • @smile1278
      @smile1278 3 ปีที่แล้ว +3

      dont worry bruh im on the same boat as you lmao

    • @jokerlegend7168
      @jokerlegend7168 3 ปีที่แล้ว

      Yea. I'm here for the same reason too.

    • @aldoleon7540
      @aldoleon7540 3 ปีที่แล้ว

      2021 here!

    • @TshepoMokgokong
      @TshepoMokgokong 6 หลายเดือนก่อน

      2024😂

  • @brianmclogan
    @brianmclogan  11 ปีที่แล้ว +120

    happy to help!

    • @yuufz
      @yuufz 4 ปีที่แล้ว +1

      Ok

    • @johnbertmalinis3356
      @johnbertmalinis3356 4 ปีที่แล้ว

      hi sir i can't understand this problem
      4x²+4y²-16x+40y+67=0
      pls help me

    • @ashkhan2501
      @ashkhan2501 3 ปีที่แล้ว

      Zucc
      Devide the whole equation by 4 to convert it in genral form

    • @makaampelio4335
      @makaampelio4335 3 ปีที่แล้ว

      Thank you 💖 for the love ❤️😘

    • @karolstevenvillacarillo1036
      @karolstevenvillacarillo1036 2 ปีที่แล้ว

      thanks

  • @chatalola96
    @chatalola96 9 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว

      @Sebastian Ryder instablaster ;)

    • @sebastianryder8311
      @sebastianryder8311 3 ปีที่แล้ว

      @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 ปีที่แล้ว

      @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 ปีที่แล้ว

      @Sebastian Ryder Glad I could help =)

  • @anaramirez-pinto8305
    @anaramirez-pinto8305 2 ปีที่แล้ว

    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!

  • @animeash92
    @animeash92 4 ปีที่แล้ว +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!

  • @AintNobody890
    @AintNobody890 3 ปีที่แล้ว +1

    YOUR THE BEST TEACHER EVER! I Learned a ton

  • @izu1489
    @izu1489 3 ปีที่แล้ว

    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!!

  • @rinopaulbadillagacita5396
    @rinopaulbadillagacita5396 5 ปีที่แล้ว +39

    Johnny sins is now teaching conic sections ,what the Fuç3

  • @moecrosby7587
    @moecrosby7587 2 ปีที่แล้ว +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.

  • @mickay7199
    @mickay7199 2 ปีที่แล้ว +1

    Your videos save my study. ❤️

  • @Chrisymcmb
    @Chrisymcmb 3 ปีที่แล้ว +1

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

  • @agathernakiweewa3934
    @agathernakiweewa3934 11 หลายเดือนก่อน

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

  • @GreaterDeity
    @GreaterDeity 9 ปีที่แล้ว +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 ปีที่แล้ว

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

    • @frimadona541
      @frimadona541 9 ปีที่แล้ว

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

  • @mehtabahmed5331
    @mehtabahmed5331 8 ปีที่แล้ว +1

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

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว

      +Mehtab Ahmed haha, happy to help

  • @cartilo2619
    @cartilo2619 3 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  3 ปีที่แล้ว +1

      Yes you are very welcome!!

  • @ShrutikaDongre-q5c
    @ShrutikaDongre-q5c 3 หลายเดือนก่อน

    U literally saved my life

  • @axolotlm1094
    @axolotlm1094 ปีที่แล้ว

    God bless you Mr McLogan.

  • @missy3041
    @missy3041 3 ปีที่แล้ว +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.

  • @mickay7199
    @mickay7199 2 ปีที่แล้ว +1

    Ahhhhh So helpful Sir. Thank you.

  • @jettbonjibod9962
    @jettbonjibod9962 2 ปีที่แล้ว +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 ปีที่แล้ว +1

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

  • @rohanraj4909
    @rohanraj4909 2 ปีที่แล้ว

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

  • @lukasismissing6176
    @lukasismissing6176 4 ปีที่แล้ว +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 ปีที่แล้ว +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.

  • @hahadakota4111
    @hahadakota4111 6 ปีที่แล้ว +1

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

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

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

  • @austinszone8025
    @austinszone8025 2 ปีที่แล้ว

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

  • @ashercrix1858
    @ashercrix1858 3 ปีที่แล้ว +1

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

  • @lillybumsroblox6367
    @lillybumsroblox6367 5 ปีที่แล้ว +5

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

    • @raiden21913
      @raiden21913 5 ปีที่แล้ว

      It's a general form

  • @VTsimpingSan
    @VTsimpingSan 5 ปีที่แล้ว +4

    Omg thank you for this.

  • @maveejanebasan7109
    @maveejanebasan7109 4 ปีที่แล้ว +1

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

  • @dsp4ir
    @dsp4ir ปีที่แล้ว

    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

  • @Legendfound-x8e
    @Legendfound-x8e 5 หลายเดือนก่อน

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

  • @NIKS-sy1fh
    @NIKS-sy1fh 8 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว +1

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

    • @davidzhu3525
      @davidzhu3525 6 ปีที่แล้ว

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

  • @marquezjerichoc.8258
    @marquezjerichoc.8258 4 ปีที่แล้ว

    Thank you Thank you Big Help

  • @wisewise7396
    @wisewise7396 ปีที่แล้ว

    Thank you very much

  • @pillowyflunky9931
    @pillowyflunky9931 2 ปีที่แล้ว

    thank you sir

  • @mekdestsegaye9825
    @mekdestsegaye9825 2 ปีที่แล้ว

    Thank you

  • @dahelmang
    @dahelmang 4 ปีที่แล้ว

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

  • @bigbrain779
    @bigbrain779 6 ปีที่แล้ว

    Wow this video actually helped so much!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      happy to be able to help

  • @JymLacs
    @JymLacs 4 ปีที่แล้ว

    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???

  • @jamescastro2929
    @jamescastro2929 6 ปีที่แล้ว

    Great video man. Thanks

  • @deerhunterr99
    @deerhunterr99 6 ปีที่แล้ว +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  6 ปีที่แล้ว

      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

  • @calebevans5607
    @calebevans5607 11 ปีที่แล้ว

    Great Video, thanks for the help.

  • @ravenslade8638
    @ravenslade8638 2 ปีที่แล้ว

    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

  • @patriciakate9097
    @patriciakate9097 5 ปีที่แล้ว

    this video is helpful 👌❤

  • @ibnameyr
    @ibnameyr 6 ปีที่แล้ว

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

  • @jeremyrobin2434
    @jeremyrobin2434 5 ปีที่แล้ว

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

  • @mohameddara839
    @mohameddara839 3 ปีที่แล้ว

    🔥🔥🔥😻😻i like your explannation

  • @edbrown4553
    @edbrown4553 4 ปีที่แล้ว

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

  • @maxsfakeaccount1158
    @maxsfakeaccount1158 7 ปีที่แล้ว +5

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

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +2

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

  • @porittoe
    @porittoe 3 ปีที่แล้ว

    thank you very much for this

  • @francisnyendwa5550
    @francisnyendwa5550 ปีที่แล้ว

    Wonderful 😊

  • @FortNite-gw8pk
    @FortNite-gw8pk 3 ปีที่แล้ว

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

  • @mehtabahmed5331
    @mehtabahmed5331 8 ปีที่แล้ว +1

    you rock.

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว

      +Mehtab Ahmed : ) thanks

  • @armanmomin6165
    @armanmomin6165 7 ปีที่แล้ว +2

    i have a question what state are u in

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +2

      FLORIDA

    • @ibnameyr
      @ibnameyr 6 ปีที่แล้ว +1

      Brian McLogan wow good

    • @Theo-mz8um
      @Theo-mz8um 6 ปีที่แล้ว

      Same, what university/college?

  • @nezyha
    @nezyha 8 ปีที่แล้ว +1

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

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว +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 ปีที่แล้ว

      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 ปีที่แล้ว +2

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

    • @yeeman421
      @yeeman421 5 ปีที่แล้ว

      @@edwinrajoo6874 2 years late smh

  • @nkebeshaclaudine3719
    @nkebeshaclaudine3719 3 ปีที่แล้ว

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

  • @Lavos5181
    @Lavos5181 8 ปีที่แล้ว

    how do you find the general equation
    from the standard formula

    • @brianmclogan
      @brianmclogan  8 ปีที่แล้ว +1

      so the same problem I did but working backwards?

  • @Cscottrun53
    @Cscottrun53 7 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

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

  • @guyhi1234567899
    @guyhi1234567899 10 ปีที่แล้ว

    Thanks!

  • @songjiho5148
    @songjiho5148 7 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +1

      Here is a playlist I created with more examples of completing the square
      th-cam.com/play/PL0G-Nd0V5ZMooC5Z-Xy9z3msyS3fr61F7.html

  • @giottovongolaprimo4146
    @giottovongolaprimo4146 8 ปีที่แล้ว

    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 ปีที่แล้ว

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

    • @edwinrajoo6874
      @edwinrajoo6874 7 ปีที่แล้ว

      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

  • @dominicringoma1520
    @dominicringoma1520 5 ปีที่แล้ว

    Thank yu

  • @jrgatica26
    @jrgatica26 6 ปีที่แล้ว

    Thanks! Randy Orton

  • @techsupport7273
    @techsupport7273 3 ปีที่แล้ว

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

  • @jervishhidalgo8342
    @jervishhidalgo8342 3 ปีที่แล้ว

    where did you get the 2x and 2y😭😭

  • @satyabantasanjenbam
    @satyabantasanjenbam 4 ปีที่แล้ว

    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?

  • @tonetterala2377
    @tonetterala2377 7 ปีที่แล้ว

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

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

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

  • @jasmacalam9772
    @jasmacalam9772 4 ปีที่แล้ว

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

  • @bianivan
    @bianivan 3 ปีที่แล้ว

    STEM paaaa!!!

  • @pardillaangelo7964
    @pardillaangelo7964 6 ปีที่แล้ว

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

  • @andra2257
    @andra2257 4 ปีที่แล้ว

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

    • @edwardgaming466
      @edwardgaming466 4 ปีที่แล้ว

      Online class gaming ka rin??? Hahahaha

    • @andra2257
      @andra2257 4 ปีที่แล้ว

      @@edwardgaming466 oo kaistress!

    • @edwardgaming466
      @edwardgaming466 4 ปีที่แล้ว +1

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

    • @andra2257
      @andra2257 4 ปีที่แล้ว +1

      @@edwardgaming466 thank youuu sayo din! fightinggg!!

    • @edwardgaming466
      @edwardgaming466 4 ปีที่แล้ว

      @@andra2257 Welcome!!!😉😊❤

  • @AlishaLurvy
    @AlishaLurvy 3 ปีที่แล้ว

    Hello sir, your video is incredible! But can you explain me why we need to add 16 and 25 at the right side? It’s confusing 🥲. Thank you.

    • @1mayadefender
      @1mayadefender 2 ปีที่แล้ว +1

      hi! you added 16 and 25 on the left side so you need to do the same on the right side :)

    • @AlishaLurvy
      @AlishaLurvy 2 ปีที่แล้ว +1

      @@1mayadefender Thank youuu 💫

  • @Roblox_gamer-jy4kw
    @Roblox_gamer-jy4kw 4 ปีที่แล้ว

    H

  • @aidoru3414
    @aidoru3414 6 ปีที่แล้ว

    There is a god

  • @chupacabra9357
    @chupacabra9357 5 ปีที่แล้ว

    This guy's face slightly resembles Ben Shapiro.

  • @maylinissad8326
    @maylinissad8326 9 หลายเดือนก่อน

    Thanks so much 🫶 I was wondering how you get the numbers that add to the other side

  • @SophieSquid
    @SophieSquid 4 ปีที่แล้ว +19

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

  • @monkeypolicd
    @monkeypolicd 9 ปีที่แล้ว +30

    college lectures sucks they skip so much work.

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว +4

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

    • @monkeypolicd
      @monkeypolicd 9 ปีที่แล้ว +3

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

    • @lizzie8084
      @lizzie8084 5 ปีที่แล้ว

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

    • @imlegit8325
      @imlegit8325 5 ปีที่แล้ว

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

  • @faithisabel25
    @faithisabel25 6 ปีที่แล้ว +5

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

  • @killuazoldyck841
    @killuazoldyck841 5 ปีที่แล้ว +1

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

  • @patricianeo2953
    @patricianeo2953 5 ปีที่แล้ว +2

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

  • @nkebeshaclaudine3719
    @nkebeshaclaudine3719 3 ปีที่แล้ว

    It is not correct there is a mistake in this answer. you should find 45 not 25

  • @shabaanqureshi5403
    @shabaanqureshi5403 9 ปีที่แล้ว +10

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

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว +3

      Shabaan Qureshi awesome! happy to be able to assist you

  • @najlafaisal_
    @najlafaisal_ 3 ปีที่แล้ว

    wala parin ako nagets

  • @veronicaa9176
    @veronicaa9176 2 ปีที่แล้ว

    so hard to catch up 😭

  • @cxmxcl
    @cxmxcl 2 ปีที่แล้ว

    O7

  • @lugawplain1117
    @lugawplain1117 8 ปีที่แล้ว +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 ปีที่แล้ว +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?

  • @トリホスチャールズ
    @トリホスチャールズ 3 ปีที่แล้ว

    thank u for helping me.

  • @asj2749
    @asj2749 ปีที่แล้ว

    good video
    Thank you!!

  • @aliciadevlinder
    @aliciadevlinder 11 หลายเดือนก่อน

    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!

  • @paulusmaongo9455
    @paulusmaongo9455 4 ปีที่แล้ว

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

  • @hiyamadnan4421
    @hiyamadnan4421 2 ปีที่แล้ว

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

  • @patricianeo2953
    @patricianeo2953 5 ปีที่แล้ว

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

  • @malikmohamed4217
    @malikmohamed4217 10 ปีที่แล้ว +1

    thank you, you are a great help!

  • @wig5684
    @wig5684 2 ปีที่แล้ว

    Truly the reason for my passing grade

  • @emmaconlon7417
    @emmaconlon7417 4 ปีที่แล้ว

    DUDE IM WATCHING THIS IS IN 2020 AND ITS SAVING ME

  • @tellurmumgotohell
    @tellurmumgotohell 5 ปีที่แล้ว

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

  • @iitsLuminous
    @iitsLuminous 5 ปีที่แล้ว

    Just have to say thank you for the help

  • @ma.lourdesumpad9170
    @ma.lourdesumpad9170 3 ปีที่แล้ว

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

  • @parungaokenangelo3497
    @parungaokenangelo3497 5 ปีที่แล้ว

    Stem pa hahahaha!

  • @zeno3068
    @zeno3068 5 ปีที่แล้ว

    Where's your lr 1 2 3 4