Graphing Quadratic Functions (Precalculus - College Algebra 24)

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  • Опубликовано: 20 дек 2024

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  • @braanchh
    @braanchh 4 года назад +20

    Completely unrelated to this Lecture. I just found out I passed calc 2 which was the bane of my existence. I would like to give 90% of the credit to Professor Leonard. He explains everything better than the entire textbook. Not only that he has a sense of humor and cares about his students. I want to thank you for everything you have done Professor Leonard!

    • @Peter_1986
      @Peter_1986 4 года назад +7

      Textbooks often have this obsession of being extremely formal and extremely serious all the time, and that alone makes them hard to follow - especially if they also ramble on forever for like 10 pages before giving a single example problem.
      Professor Leonard is the complete opposite of that - he is much more like "alright, let's have some fun here, and let's cover the stuff that actually matters and then dive into a bunch of example problems".

  • @abhijeetsatpathy3382
    @abhijeetsatpathy3382 4 года назад +44

    Brilliant professor loved the way he teachs. Hats off. The superman of Maths.

    • @watsonzaire9081
      @watsonzaire9081 3 года назад +1

      I know I'm kinda off topic but do anyone know a good website to watch newly released movies online?

    • @ignaciofrancis8806
      @ignaciofrancis8806 3 года назад

      @Watson Zaire Try flixzone. You can find it on google :)

    • @sincereace6053
      @sincereace6053 3 года назад

      @Watson Zaire I watch on Flixzone. You can find it by googling =)

  • @quirkysnake3555
    @quirkysnake3555 4 года назад +46

    Professor Leonardo: * teaching math *
    1st half of my brain: * trying to concentrate on what he's saying *
    other half of brain: 'how do you get your arms to be that wide'
    u da best at teaching math :D

    • @johnbiluke8406
      @johnbiluke8406 3 года назад

      I've had arms half that size at 13 but regardless, nice arms. ( Keep quiet )

    • @fredavastine2922
      @fredavastine2922 2 года назад

      Lots of silicon injections

    • @ricardocorrea9398
      @ricardocorrea9398 2 года назад

      @@johnbiluke8406 That's not that impressive lol ( im quiet)

    • @magic5992
      @magic5992 2 года назад

      @@fredavastine2922 dam ur stupid, try to go to the gym for a year or so, youll see major improvement, you wont get those arms jerking off, lmao

    • @ИринаНазарова-л6з
      @ИринаНазарова-л6з Год назад +2

      @@fredavastine2922 lolll, you clearly have never been to the gym

  • @Fjfcjcfjfjccjcjjkf
    @Fjfcjcfjfjccjcjjkf 4 года назад +9

    Professor Leonard had his gym sessions and suddenly he realized he has to take Maths class. He comes to class and nails the lecture like a walk in the park...🙏🙏🙏

  • @mashable8759
    @mashable8759 4 года назад +6

    Best teacher in the whole world. A true SUPERMAN

  • @georgesadler7830
    @georgesadler7830 2 года назад +6

    Professor Leonard thank you for a monster explanation of Graphing Quadratic Functions using the vertex, x intercepts, y intercepts, factoring and the old Quadratic Formula.

  • @vinayverma2578
    @vinayverma2578 4 года назад +9

    You are the best math teacher one can ever have. Thank you prof...Thank you for everything. 🙏

  • @AyisatLawalShittu
    @AyisatLawalShittu Год назад +2

    I’m sick right now but I love watching him teach math

  • @chericha
    @chericha 4 года назад +2

    Hands down the best math teacher on internet.

  • @zacharykahn8134
    @zacharykahn8134 2 года назад +2

    Dude your jacked and your smart. Thank you so much!

  • @kuanliu4253
    @kuanliu4253 4 года назад +4

    really great video, it helped me a lot. thank you so much professor Leonard

  • @pump-kin
    @pump-kin Месяц назад

    He’s smarter AND hotter than my current math teacher! Very useful!

  • @pinklady7184
    @pinklady7184 4 года назад +6

    I am watching lots of maths tutorials during lockdown. Thanks for this video.

  • @Devayearsago
    @Devayearsago 8 месяцев назад +1

    Professor you’re a lifesaver thank you 🙏🏻

  • @guidofeliz8384
    @guidofeliz8384 4 года назад +4

    Anxiously waiting for Linear Algebra and beyond.

  • @deepinderpalsinghdhillon5943
    @deepinderpalsinghdhillon5943 3 года назад +2

    Thankx Professor these videos are helping me a lot

  • @kingrenny
    @kingrenny 4 года назад +2

    I am all over this :). Can't wait for the trig one's!

  • @aryapramanda8163
    @aryapramanda8163 4 года назад +2

    Thank you very much professor leonard .. the explanation is very easy to understand greetings from indonesia university

  • @siennafalls
    @siennafalls 3 года назад +1

    Thank you, Professor Leonard!

  • @1Vice876
    @1Vice876 4 года назад +3

    Professor Leonard 🐐 GOAT

  • @studyhome895
    @studyhome895 4 года назад +1

    Thank you professor leonard I am in class 9 and it
    Helped me a lot

  • @icono__7136
    @icono__7136 4 года назад +1

    I have a question Pr about limits:
    lim [(theta^2) / (1 - cos (theta))] as theta approaches 0 = 2 (if we solve it by multiplying the expression by (1 + cos (theta))/(1 + cos (theta))).
    However, when reviewing my notes, I tried to solve the above by this:
    1. split factors
    lim [(theta^2)/(1 - cos (theta))] as x -> 0 = lim [ theta * (theta/(1 - cos (theta)))] as x -> 0
    2. Express the lim of my new product as a product of limits
    lim [theta * (theta/(1 - cos (theta)))] as x -> 0 = lim theta as x -> 0 * lim theta/(1 - cos (theta)) as x -> 0
    3. Use the fact that theta/(1 - cos (theta)) = ((1 - cos (theta))/theta)^-1
    lim theta as x -> 0 * lim (theta/(1 - cos(theta))) as x -> 0 = theta * 0
    -> lim [(theta^2) / (1 - cos(theta))] as x -> 0 = 0
    The steps seem sound, but I don't get the same result as if I'd multiplied by the chosen 1, and I can't understand why.

  • @falakzaki284
    @falakzaki284 4 года назад +21

    Any idea when trigonometry section is gonna start?

  • @techzoneplus
    @techzoneplus 28 дней назад

    Thanks for helping me to find my Vertex

  • @mekusha-graphics-mekushat6493
    @mekusha-graphics-mekushat6493 4 года назад +1

    the best teacher ever

  • @angajasonr.2422
    @angajasonr.2422 9 месяцев назад +1

    Thank you sir

  • @uzzyhaxxan9279
    @uzzyhaxxan9279 4 года назад +2

    Sir You are The best ♥️

  • @sharyarkhan690
    @sharyarkhan690 4 года назад +3

    Great profesor ever ♥️

  • @mohammedamansalih9123
    @mohammedamansalih9123 3 года назад +1

    Thank u so much leo

  • @TheThorRs
    @TheThorRs 2 года назад +1

    engaging teacher,

  • @quadraticfunction8045
    @quadraticfunction8045 4 года назад +6

    Quadratic functions are amazing lol

  • @classclownbeautyqueen4791
    @classclownbeautyqueen4791 4 года назад +5

    You are amazing. Can you do a video on synthetic division? :-(
    I love the way you teach.
    It makes sense.
    Before, all of this intimidated me and made me feel stupid.
    Thank you for everything.
    I bought a shirt from your shop!
    -V

  • @lovessorrow948
    @lovessorrow948 2 года назад +1

    5:55 correct one is not 2a it must be 4a square

  • @veronicasester4136
    @veronicasester4136 4 года назад +2

    when is the linear algebra segment coming up??

  • @Nova234432
    @Nova234432 4 года назад +9

    Why is this recommended to me?!
    I haven’t mathed in years...

    • @wexer82
      @wexer82 4 года назад +18

      Time to get back into it. It's the language of the universe.

    • @franciseylim11
      @franciseylim11 4 года назад +11

      You are in good luck, you have found the best channel in the world.

  • @jared1862
    @jared1862 Год назад

    I think I came up with a shortcut for finding 'a' when figuring out a formula. Take the two points you are given, (in the case of the video Vertex:(1, -5) and Y-int:(0, -3))
    and minus the y value of the Vertex (-5) from the y value of the Y-int (-3) [-3-(-5)=2]. This will be the numerator of your fraction and the denominator will be the x value of the vertex squared [1^2=1] [a=2/1].
    I'll give an example, let's say the Vertex is (-18, 7) and the Y-int is (0, -27).
    -27-7=-34 (numerator).
    -18^2=324 (denominator).
    We get -34/324.
    Now to verify -27=a(0+18)^2+7
    -34=a*324
    -34/324=a
    I guess it ain't that much of a shortcut lol, but it feels faster when doing it in your head.

  • @cabrecwla
    @cabrecwla 10 месяцев назад

    Please, could someone explain to me how proffesor got 0 in 40:50 as y in vertex?

  • @franciseylim11
    @franciseylim11 4 года назад +7

    It almost a month, and you haven’t upload new videos of Precalculus. 🤧😭

  • @sandratingalay
    @sandratingalay 4 года назад

    Prof, can we countercheck with desmos too? or, without calculating , can we use desmos right away?

  • @agh1750
    @agh1750 4 года назад +2

    will you ever be doing a linear algebra series?

  • @nicholasoneill9843
    @nicholasoneill9843 4 года назад +4

    Hi professor i was wondering if there was any youtuber you would recomend for physics lessons?

  • @ivoriankoua3916
    @ivoriankoua3916 4 года назад +1

    I was just doing Quadratic programming for SVM and see this!

  • @alialhameedi990
    @alialhameedi990 4 года назад +1

    Great Leonardo

  • @pinkman17_
    @pinkman17_ Год назад

    6:00

  • @nm1978
    @nm1978 4 года назад +1

    can you teach us the solutions for all polynomials, such as ax4+bx3+cx2+dx+e=0 and many others with higher roots?
    thank you.

  • @wexer82
    @wexer82 4 года назад +1

    Thank you.

  • @politicamenteincorrecto2547
    @politicamenteincorrecto2547 4 года назад +1

    well this is my guy now! is this high school math?

  • @malakkhamaiseh6410
    @malakkhamaiseh6410 4 года назад +1

    Thanks alot 😊

  • @TheAncientCodex
    @TheAncientCodex 4 года назад

    Hi professor ! I did not understand at 33.39 time where did the 2 in front of the equation disappeared ?You did not use it when finding the Discriminant .Thanks

  • @thangarajselvamani178
    @thangarajselvamani178 4 года назад

    Thanks Sir

  • @sumithk5754
    @sumithk5754 4 года назад

    to clarify doubts how can i get in touch with you sir.

  • @happymanhappy1002
    @happymanhappy1002 4 года назад

    Hi professor I need solutions to some questions in book mathematical arfekn, impossible?

  • @pinkman17_
    @pinkman17_ Год назад

    23:00

  • @Jackiebrat01
    @Jackiebrat01 4 года назад

    What set do you rep?

  • @mamtagoel1242
    @mamtagoel1242 4 года назад

    Proff. Could u clear my doubt. I was just wondering that what is the condition for area to be negative under a polar curve if their is? Is it only possible when dtheta is negative?

  • @aliozgul3906
    @aliozgul3906 4 года назад

    Very nice lesson techquie. More graphical interface, I most like. Best regards.

  • @simba6964
    @simba6964 4 года назад

    Excuse me there professor I was wondering why many mathematicians never get into PDE’s don’t they take this class? They usually teach upto ODEs and stop there.

  • @jeshmh
    @jeshmh 4 года назад

    My man looks like clark kent i cant

  • @tiborkemeny8644
    @tiborkemeny8644 4 года назад

    and after you learn calculus and you realise where the first derivative equals zero, there is your x coordinate...

  • @cocmastervivek4500
    @cocmastervivek4500 4 года назад

    He looks like the actor in superman🤔🤔

  • @antisocialboy818
    @antisocialboy818 6 месяцев назад

    16:33 HAHAHAHAHA

  • @hkanhai5094
    @hkanhai5094 4 года назад

    Good afternoon sir.. do u lecture at the masters degree level?

  • @jamalzahid2266
    @jamalzahid2266 4 года назад

    SIR FROM WHICH BOOK YOU ARE TEACHING CALCULAS AND MULTIVARIABLE CALCULAS.

    • @F4M05D4V35
      @F4M05D4V35 4 года назад

      He has said he doesn't recommend a certain book. He has said to use multiple books. I recommend Early Transcendentals by Stewart if you have to pick one.

    • @jamalzahid2266
      @jamalzahid2266 4 года назад

      @@F4M05D4V35 thanks

  • @jeetunisa6895
    @jeetunisa6895 4 года назад

    more

  • @sahildhingla
    @sahildhingla 4 года назад

    Your voice is echoing. You should probably use a collar microphone.

  • @TheSpasmer
    @TheSpasmer 4 года назад

    I'm going to stop supporting this channel as a patreon until he uploads trigonometry videos just like the title of this Playlist says.

  • @Game-mj4pb
    @Game-mj4pb 4 года назад

    Him:- calls this advanced algebra
    Me:- we do this in grade 10 here in Nepal and it’s one of the most easiest problem

    • @nuzhatazim8194
      @nuzhatazim8194 4 года назад +1

      bruh Americans really make a big deal out of small things lmao

    • @Game-mj4pb
      @Game-mj4pb 4 года назад

      @@nuzhatazim8194 truu

    • @sekhartimsina1534
      @sekhartimsina1534 2 года назад

      I'm nepali but live in the US. Learning this stuff in 6th grade.

    • @sekhartimsina1534
      @sekhartimsina1534 2 года назад

      US curriculum is trash tho.

    • @rickdecarlo
      @rickdecarlo 2 года назад

      I'm in Canada. We do this in 5th grade.