Using Transformations to Graph Quadratic Functions

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  • Опубликовано: 17 окт 2024

Комментарии • 85

  • @dankdew212
    @dankdew212 12 лет назад +6

    This makes everything about quadratics so much more clear than when my teacher taught me. thank you so much for posting this.

  • @tinao7551
    @tinao7551 7 лет назад +9

    You cant even understand how much this helped

  • @paulvoorheis2963
    @paulvoorheis2963 11 лет назад

    Even in college I always go back to your videos. You have been the biggest help to me! Thank you!

  • @ginamina407
    @ginamina407 5 лет назад +2

    This is so helpful. My math teacher gives quizzes every class and it’s not easy to understand math when no one in your class understands what’s going on

  • @theriffman7392
    @theriffman7392 7 лет назад +54

    Ok so what I'm getting from this comment section is that everyones teacher can't teach cuz thats the same story of why I'm here

    • @alieren5690
      @alieren5690 7 лет назад

      TheRiffMan 73 same

    • @0xbin
      @0xbin 6 лет назад +1

      Ur just not paying attention in class and/or not asking questions

    • @shwewin4762
      @shwewin4762 4 года назад

      I’m here because there’s a lockdown and teachers gave us a whole textbook for home.:(

  • @lizzieechan
    @lizzieechan 9 лет назад +13

    thank you so much. im on 9th grade... and this is our topic right now

    • @tobinclark8071
      @tobinclark8071 6 лет назад

      Reign thinklikeaQUEEN 8th for me. I'm one of the "smart kids". I hate math

    • @anikacummings7897
      @anikacummings7897 4 года назад

      Reign thinklikeaQUEEN congratulations!

  • @Squaly54
    @Squaly54 11 лет назад

    Thanks for the lesson. I even took notes, and now I understand it much better.

  • @adhithriraja3166
    @adhithriraja3166 7 лет назад

    Thanks for clearing this up for me, it makes a lot more sense now. Your examples were great!

  • @JesusMartinez-zu3xl
    @JesusMartinez-zu3xl 7 лет назад

    Hell yeah!!! My math teacher taught us the hard way but this way makes it so much easier.

  • @youreamonster280
    @youreamonster280 12 лет назад

    Awesome. I wish you were my math teacher, you explain it so easily!

  • @teemomooshrum7692
    @teemomooshrum7692 9 лет назад

    thank you thank you thank you! i wasn't able to understand anything in my textbook so this video helped me understand so much!

  • @ObeyThePapaya
    @ObeyThePapaya 12 лет назад +1

    mrbrand at 4:49 why did you chose -2 and -1 to add to the equation? thats something i dont understand... sometimes my teacher even uses 6 and 5. why is that and how do you get that?

    • @sa-yo-na-ra362
      @sa-yo-na-ra362 5 лет назад

      U can choose any number for x it won’t matter

  • @diditheslayer4854
    @diditheslayer4854 3 года назад

    Thanks I have a test on this in 30 minutes and I would have failed if it weren’t for this video 🙏

  • @MartyBrandl
    @MartyBrandl  12 лет назад +1

    Remember that the general form is negative, so x + 2 would be the same as x - (-2). Which would be a move of 2 to the left.
    I hope that helps! Keep working hard on your math! :-)

  • @fakenamelol527
    @fakenamelol527 10 лет назад

    I have a test today :') I hate to say it but I learned more from the first few minutes of this video than in the entire class year so far. Our teacher is (really) not the best ;v;
    Thank you so much for sharing this video, I'm sure you saved many student's grades!

  • @MartyBrandl
    @MartyBrandl  12 лет назад +2

    Remember that the shape of a quadratic function's graph is a parabola. If we know the vertex is at the x value of -3, we can find the points that are close to it. Doing so we'll get one side of the u-shape. Finally, we can use the fact that the parabola is symmetrical to get the points on the other side.
    When your teacher uses 6 and 5 it's probably because the vertex is at an x value of 4.
    I hope that helps! Keep working hard and let me know if you have other questions! :-)

  • @Cornellsims
    @Cornellsims 7 лет назад

    Thank you so much!!!! we currently have a sub for a whole month at the moment , and the sub doesn't know anything about algebra .....so I'm relying on your vids for a while

  • @ReyginaLiu1422
    @ReyginaLiu1422 11 лет назад +1

    Thank you so much! You explain better than my math teacher... I'm in accelerated so she goes super fast @__@ btw, thanks!

  • @aliaaltamimi8498
    @aliaaltamimi8498 7 лет назад

    thanks so much, i just realized that our teacher doesn't know how to teach, i wish that you were my teacher.

  • @JayJay-uc5cr
    @JayJay-uc5cr 4 года назад +1

    Ummm i know you did this like a year ago. But this helped alot. Im a year ahead because we had the option to. Anyway im confused on when you were solving (x+3)^2 when you found (-3,0) after you did this equation (-2+3)^2 where did you get the -2 from? Thats my only question. Thank you very much though this helped out well.

    • @MartyBrandl
      @MartyBrandl  4 года назад +1

      I just picked another x-value to plug in to get another ordered pair. You could use -4, 3, or 50! The key is just getting another point.
      I hope that helps! I'm glad to hear that you found the video helpful! 🙂

    • @JayJay-uc5cr
      @JayJay-uc5cr 4 года назад

      @@MartyBrandl I did. And thank you. This video was very helpful!

  • @MartyBrandl
    @MartyBrandl  11 лет назад

    Do you mean something like this? f(x) = ax^2
    If that's the case it would be a vertical stretch of compression from the parent function f(x) = x^2.
    I hope that helps! :-)

  • @lsslcsc
    @lsslcsc 11 лет назад

    I wish my teacher had your accent. I wouldn't fall asleep.

  • @XxDem0nicG4merxXPro
    @XxDem0nicG4merxXPro 11 лет назад

    On 4:49 could you also use 1 and 2 instead of -1 and -2 since in right next the zero?

  • @metallic480
    @metallic480 13 лет назад +1

    Thank you, this was very helpful for studying

  • @MartyBrandl
    @MartyBrandl  12 лет назад

    I'm sorry to hear that. :-( Is there a specific problem I can help with?

  • @rahimhussain1247
    @rahimhussain1247 9 лет назад

    very good explanation thanks dude🙌

  • @Jajakayxo
    @Jajakayxo 5 лет назад

    Where did you get the -2 from ?

    • @MartyBrandl
      @MartyBrandl  5 лет назад

      I knew the vertex had an x-value of -3 so I was just picking x-values that were close by (-2 and -1).
      I hope that helps! Please let me know if you have other questions! :-)

  • @Cindy-jy1lv
    @Cindy-jy1lv 7 лет назад

    A bit vague in some parts especially when you say in front of X ( like is it a negative # next to the x or outside of the parentheses)
    ,but it dose help, thanks!

    • @MartyBrandl
      @MartyBrandl  7 лет назад

      Unknown Person Sorry for the confusion. I was referring to the a term which could be outside the parentheses or with the x.
      For example: y = -(x+1)^2 or y = -x^2
      I hope that helps! Keep working hard on your math! :-)

  • @MartyBrandl
    @MartyBrandl  11 лет назад

    You could, but you're going to get out bigger numbers (1, 16), (2, 25). It's usually easiest to stay close to what we know is the vertex.
    I hope that helps! :-)

  • @ElisandroDeLeon
    @ElisandroDeLeon 10 лет назад

    Off topic question: are you from MI by any chance?

  • @ObeyThePapaya
    @ObeyThePapaya 12 лет назад

    thanks helped alot i took a test on it and hopefully i aced it :D

  • @SuprChfy
    @SuprChfy 7 лет назад +1

    Great video

  • @ElisandroDeLeon
    @ElisandroDeLeon 10 лет назад

    Ok, Im still lost on how movement to the right is illustrated by -3, in the equation
    h(x)=(x-3)^2 + 2

    • @MartyBrandl
      @MartyBrandl  10 лет назад +1

      Remember, the general vertex form is f(x) = (x - h)^2 + k. In your equation the h is actually 3.
      If it were (x + 3)^2, then it would be the same as (x - (-3))^2.
      So the positive really moves to the right and negative to the left as we would expect.
      You could also try going to desmos.com and creating some graphs there to see how the transformations work.
      I hope that helps! Keep after it, you can do it! :-)

    • @ElisandroDeLeon
      @ElisandroDeLeon 10 лет назад

      Marty Brandl Yeah I wasnt too familar with the vertex form until I started researching it a bit more after your video and yeah it helps when I think about the vertex itself being (h,k) = (3,2) meaning that the yes indeed, the x-coordinate is 3 movements to the right. Thank you for the encouragement by the way!!

    • @ElisandroDeLeon
      @ElisandroDeLeon 10 лет назад

      Marty Brandl oh I forgot to ask: Does this work for equations not in the y=x^2 form? for example would this video apply to variations on the y=|x| equation or y=1/X equation?

    • @deannae3825
      @deannae3825 9 лет назад

      Elisandro De Leon You can also think of this in terms of solving for x. For example x-3=0, the solution is 3! Similarly when you have factored form of something and you are finding the zeros, i.e. (x+2)(x-1)(x-4)=0, zeros/solutions would be -2, 1, 4.

  • @MartyBrandl
    @MartyBrandl  12 лет назад

    Awesome! Way to go! :-)

  • @llewgibson
    @llewgibson 6 лет назад

    Just found your video mate, really love the content. Subbed straight away, We should connect!

  • @chris2656
    @chris2656 7 лет назад

    you drew the parent function wrong on the first graph no?

  • @joemarmangubat2382
    @joemarmangubat2382 3 года назад

    What if the a is 5?

  • @27Juicygirl
    @27Juicygirl 10 лет назад +1

    thank you sooooooooooo much!!!!!!!!! :)

  • @vixelscoffeehouse
    @vixelscoffeehouse 5 лет назад

    8:00 wtf where did the (2-3)^2+2 come from?

    • @MartyBrandl
      @MartyBrandl  5 лет назад

      Since we know the vertex is located at (3, 2), we look for ordered pairs close by. One of them would be (2, ?). We can find that y-value by plugging 2 into the equation for x.
      I hope that helps! :-)

  • @salazarleop7881
    @salazarleop7881 5 лет назад

    wait....how did he find the k?

    • @MartyBrandl
      @MartyBrandl  5 лет назад

      The k is the movement up or down from the parent function on the graph. It is found outside the parentheses in the function.
      I hope that helps! Thanks for asking! 👍

  • @alieren5690
    @alieren5690 7 лет назад +1

    Ty so much helped me alot

  • @rykerpercival8931
    @rykerpercival8931 11 лет назад

    What if we only have A?

    • @tinao7551
      @tinao7551 7 лет назад

      Ryker Percival tht means ur vertex is the orgin but for it to be a parabola and even a quadratic equation it has to have x and an eponent. Which makes it a second degree and essentially a curve itself

  • @MartyBrandl
    @MartyBrandl  13 лет назад

    @gerardo95062
    That's alright! This is Algebra 2 stuff. You'll get there! :-)

  • @tyrich0799
    @tyrich0799 9 лет назад

    Thank you

  • @rxseqvartz5679
    @rxseqvartz5679 7 лет назад +1

    ohhhhhhhhhhhhh thnx so much❤️

  • @moallam7685
    @moallam7685 8 лет назад +9

    so canadian

  • @goljanfani1352
    @goljanfani1352 7 лет назад

    God bless you

    • @khaledjarrar315
      @khaledjarrar315 4 года назад

      May Allahs peace and blessings be upon you

  • @Nomadicstunner
    @Nomadicstunner 6 лет назад

    You’re Awesome 🧐

  • @lemuelwilson2899
    @lemuelwilson2899 8 лет назад

    I have no idea what ur saying

  • @TheKdfgato
    @TheKdfgato 12 лет назад

    i dont understand anything:(

  • @01Grytz
    @01Grytz 10 лет назад

    lol den in Australia we do everything different

  • @itsrandydandy4489
    @itsrandydandy4489 4 года назад

    Haha imagine having school rn

    • @forestellson3363
      @forestellson3363 4 года назад

      ItsRandy Dandy Haha right? . tries to understand for home school .

  • @one_bone_4_life647
    @one_bone_4_life647 10 лет назад

    whats 9+10?

  • @zeekjohnson3573
    @zeekjohnson3573 7 лет назад

    Don’t know why my teacher told me to listen to dis it’s way to long

    • @MartyBrandl
      @MartyBrandl  7 лет назад

      Zeek Johnson You don't have to watch the entire thing! Maybe just a few minutes will help! ;-)

    • @zeekjohnson3573
      @zeekjohnson3573 7 лет назад

      Okay thanks

  • @saraalharbi4644
    @saraalharbi4644 6 лет назад

    hiiii