How to write the equation of a parabola given three points

👉 Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and hence three points are needed to solve/obtain the equation of a parabola.
Given three points on a parabola, we use the standard form of a quadratic equation to set up a system of three linear equations which we solve to obtain: a, b, and c and hence, the equation of the parabola.
👏SUBSCRIBE to my channel here: kzread.info...
❤️Support my channel by becoming a member: / @brianmclogan
🙋‍♂️Have questions? Ask here: forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: / mrbrianmclogan
Organized Videos:
✅Write the Equation of a Quadratic
• Write the Equation of ...
✅Write the Equation of a Quadratic Given Vertex and a Point
• Write the Equation of ...
✅Write the Equation of a Quadratic Given Three Points
• Write the Equation of ...
🗂️ Organized playlists by classes here: / mrbrianmclogan
🌐 My Website - www.freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: www.brianmclogan.com/email-ca...
Connect with me:
⚡️Facebook - / freemathvideos
⚡️Instagram - / brianmclogan
⚡️Twitter - / mrbrianmclogan
⚡️Linkedin - / brian-mclogan-16b43623
👨‍🏫 Current Courses on Udemy: www.udemy.com/user/brianmclog...
👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
#Equationofquadratics #quadratics #brianmclogan

Пікірлер: 93

  • @priffu5160
    @priffu51604 жыл бұрын

    Dude you helped me understand something I spent a whole month trying to figure out. You brilliant madman.

  • @husseinsabrie3407

    @husseinsabrie3407

    3 жыл бұрын

    Factz

  • @aleksandrstinchcomb2840

    @aleksandrstinchcomb2840

    3 жыл бұрын

    @Weston Anthony May I ask why?

  • @pedrocodile5083

    @pedrocodile5083

    2 жыл бұрын

    brilliant mathman*

  • @lilxtasy4936

    @lilxtasy4936

    2 жыл бұрын

    they call him fireman cause he turns the hoes on

  • @starboii568
    @starboii5685 жыл бұрын

    My teacher explained for an hour i did not understand u did it in 4min😎

  • @amreenaym786

    @amreenaym786

    Жыл бұрын

    Now you’ve probably graduated 😎

  • @starboii568

    @starboii568

    Жыл бұрын

    @@amreenaym786 not yet I'm very close to graduating tho

  • @ow_.

    @ow_.

    10 ай бұрын

    @@starboii568 Graduate yet?

  • @starboii568

    @starboii568

    10 ай бұрын

    @ow_. nah bro but did a bridging course to get into engineering I'm only 3rd year now but I'll graduate soon🙏🏾

  • @cynthiaweber7623
    @cynthiaweber76235 жыл бұрын

    Sir... what if we dont have any points that have a zero, therefore we dont know the value of C?

  • @jssplrs

    @jssplrs

    4 жыл бұрын

    You'll have 3 equations, 3 unknowns. Number of equations = number of unknowns (which is a, b, c) It means you can solve it. For the first equation: Transfer c to the other side of the equation, you'll have this form: c = a + b Then on the second equation, plug in the c = a + b on c, you'll have an equation with a and b unknowns. Then choose if you want a or b, then transfer it to the other side of the equation again, you'll have a = b etc, or b = a Then plug in a and c (or b and c ) on the 3rd equation, you'll solve for 1 unknown. Hope this helps!

  • @jssplrs

    @jssplrs

    4 жыл бұрын

    @Flipping Around She's asking because she doesn't know.. why are you so rude? :((

  • @jssplrs

    @jssplrs

    4 жыл бұрын

    @Flipping Around Calm down.. it's alright. She wants to learn. 🙂

  • @stacyr4768

    @stacyr4768

    4 жыл бұрын

    @@jssplrs if you transfer c to the other side of the equation, won't it become -c?

  • @jssplrs

    @jssplrs

    4 жыл бұрын

    @@stacyr4768 If it will become -c, divide both sides by negative 1. Transferring a variable on the other side doesn't necessarily mean that it will be the one you'll "move". You can just "isolate" variables on one side --this is the right sentence for the explanation above, my bad.

  • @verysmartscholar
    @verysmartscholar3 жыл бұрын

    imagine having him as a teacher :0

  • @danielcostandi6745
    @danielcostandi67455 жыл бұрын

    awesome tutorial, helped soo much!

  • @4louisMC
    @4louisMC2 жыл бұрын

    Thanks. Tomorrow I have a math test, and am cramming. Thanks for having a clear title as well, so its easy to find on KZread

  • @EpicDragonBro
    @EpicDragonBro4 жыл бұрын

    Oh my god, you are literally a saint! I could never understand how to do these until I watched your video! Thank you so much! 😆

  • @eli.b.7559
    @eli.b.75592 жыл бұрын

    From the bottom of my heart thank you man!

  • @kasx
    @kasx5 жыл бұрын

    this helps a lot thanks

  • @oof8911
    @oof89114 жыл бұрын

    Thank you, helped a lot... Some how the problem that was given to me came out EXACTLY the same in the last two steps lol, so after that i could just copy it....

  • @jesuisravi
    @jesuisravi5 жыл бұрын

    Great! Thanks

  • @nimcaandayib6222
    @nimcaandayib62225 жыл бұрын

    Thank you teacher so much

  • @kochomohamud4441
    @kochomohamud44413 жыл бұрын

    super amazing dude you are on another level..much appreciated

  • @cooldudxyxy7611
    @cooldudxyxy76114 жыл бұрын

    i wish i had a teacher like you

  • @gatorscoops3861
    @gatorscoops38613 жыл бұрын

    Thanks man !

  • @user-uj7bf1bw1k
    @user-uj7bf1bw1k3 жыл бұрын

    brilliant explonation!

  • @roquebongalon7102
    @roquebongalon71024 жыл бұрын

    Most of your videos helps me a lot. Thank youuu so much

  • @brianmclogan

    @brianmclogan

    4 жыл бұрын

    You're welcome 😊

  • @brayton6683
    @brayton66834 жыл бұрын

    How do I find the equation of a parabola in the form of y=a(x+p)^2+q If the already did give us the equation as a trinomial

  • @albertomiguel9657
    @albertomiguel96573 жыл бұрын

    How abt if the x axis numbers are negative how will you find C ?

  • @-mwolf
    @-mwolf3 жыл бұрын

    thanks sm!

  • @arrietty1619
    @arrietty16193 жыл бұрын

    Best teacher in the world.

  • @christieng5166
    @christieng5166 Жыл бұрын

    Thanks for helping me out !!!!

  • @brianmclogan

    @brianmclogan

    Жыл бұрын

    You are very welcome

  • @abhirammarru2434
    @abhirammarru24343 жыл бұрын

    I need this for finals tysm

  • @blakelaner8326
    @blakelaner83263 жыл бұрын

    Literal hero right here!!

  • @isigh.
    @isigh.2 жыл бұрын

    Life saver quiz tomorrow and i had no clue how to do these ones

  • @umarmaitla7884
    @umarmaitla78842 жыл бұрын

    Very efficient way to solve a problem 😇

  • @iremsuco
    @iremsuco2 жыл бұрын

    so thank you from turkey you're amazing I was trying to understand this 🥺🥺🥺🥺

  • @jg6551
    @jg65515 жыл бұрын

    ohhhh i was using by instead of bx. thanks

  • @Loading.dot.
    @Loading.dot.3 жыл бұрын

    sir what if you have a fraction in the points?

  • @cres7015
    @cres70153 жыл бұрын

    How did you know that is the formula to be used and not the x=ay2+by+c?

  • @dodong2.99mllegend8
    @dodong2.99mllegend83 жыл бұрын

    Thanks sir

  • @mjeangriffin
    @mjeangriffin3 жыл бұрын

    you are my hero!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  • @rahafkwider7468
    @rahafkwider74683 жыл бұрын

    Thank you sir

  • @brianmclogan

    @brianmclogan

    3 жыл бұрын

    You are very welcome!

  • @hanatarek8816
    @hanatarek88162 жыл бұрын

    could this work for a 4th order polynomial

  • @khadijachambers4820
    @khadijachambers48202 жыл бұрын

    is the first equation always c or only if the number is 0? in my equation the numbers are -2=a(-1)^2+b(-1)+c will it be c is equal to -2

  • @franc1159
    @franc11595 жыл бұрын

    How would you deal with c if the points given dont have x=0

  • @jssplrs

    @jssplrs

    4 жыл бұрын

    You'll have 3 equations, 3 unknowns. Number of equations = number of unknowns (which is a, b, c) It means you can solve it. For the first equation: Transfer c to the other side of the equation, you'll have this form: c = a + b Then on the second equation, plug in the c = a + b on c, you'll have an equation with a and b unknowns. Then choose if you want a or b, then transfer it to the other side of the equation again, you'll have a = b etc, or b = a Then plug in a and c (or b and c ) on the 3rd equation, you'll solve for 1 unknown. Hope this helps!

  • @aryokharrati5600

    @aryokharrati5600

    4 жыл бұрын

    OhnoItsFranc you hope your teacher isn’t a moron or you have to do a 3 system

  • @grayscott8530
    @grayscott85303 жыл бұрын

    Ya seriously thx

  • @peebeeaguirre5858
    @peebeeaguirre58583 жыл бұрын

    thank you so much T_T

  • @JamJamIU
    @JamJamIU3 жыл бұрын

    What a legend

  • @bernicelin8045
    @bernicelin80453 жыл бұрын

    Can I ask please what school do you teach in ?

  • @mijahh
    @mijahh4 жыл бұрын

    What if the Y is 0?

  • @LynxMajic
    @LynxMajic3 жыл бұрын

    How did you get -1 from dividing a by -3, in a=a+b+3? How do you get to -1=a+b? Shouldn't you get -3a=a+b? Thanks!

  • @nolanh9

    @nolanh9

    3 жыл бұрын

    It was the top equation and he just subtracted it

  • @Lilly-to9hs
    @Lilly-to9hs3 жыл бұрын

    This guy sounds like my English teacher AND vice-principle.

  • @bernicelin8045
    @bernicelin80453 жыл бұрын

    Love u everisngle thing I class you know

  • @aleciasosa2941
    @aleciasosa29413 жыл бұрын

    THIS MAKES SO NO SENSE I WANNA DIE

  • @Cjade1011

    @Cjade1011

    3 жыл бұрын

    mood.

  • @jakemullins4866

    @jakemullins4866

    3 жыл бұрын

    same

  • @meowers2730
    @meowers27303 жыл бұрын

    What if its value is not 0?

  • @staaaaaa6183
    @staaaaaa6183 Жыл бұрын

    What if the parabola is already given you have to other parts, for example. Write the equation of the parabola where the vertex is (-4,-6) and it passes through the points (-3,-8) and (-2,-6) how would i solve that

  • @shrutiupadhyay5013
    @shrutiupadhyay50133 жыл бұрын

    Who do we know that none of them was vertex in the given points Please help

  • @redgefleming1535
    @redgefleming15355 жыл бұрын

    Hey the comments are recent

  • @gdbrickfilms4200
    @gdbrickfilms42003 жыл бұрын

    i bet this dudes having no trouble teaching his students during quarantine

  • @brianmclogan

    @brianmclogan

    3 жыл бұрын

    It was still rocky

  • @friskiesbypurina
    @friskiesbypurina5 жыл бұрын

    First 5

  • @mahir7261
    @mahir72614 жыл бұрын

    What if none of the coordinates dont have a “0” in the points

  • @TJMJR1963

    @TJMJR1963

    4 жыл бұрын

    Matrix algebra... Don't wanna go there, homie! (Yet, at least!). ,,,😅😂🤣

  • @mahir7261

    @mahir7261

    4 жыл бұрын

    Charlie Mike oof

  • @taliaamayaa

    @taliaamayaa

    3 жыл бұрын

    @@TJMJR1963 well i need to go there i need help💀

  • @user-kn1rg2br4h

    @user-kn1rg2br4h

    3 жыл бұрын

    @@taliaamayaa Use a matrix calculator 😉

  • @joshhamilton7965
    @joshhamilton79652 жыл бұрын

    Our professor had us using the factored form of quads. f(x)=a(x-m)(x-n). And it made 0 sense. Thank you!

  • @Benjamin-gx8ho
    @Benjamin-gx8ho2 жыл бұрын

    I have some challenging questions you probably don't know, but I can give it a try. How may I address them to you?

  • @MasterMindmars
    @MasterMindmars Жыл бұрын

    P E R F E C T

  • @bernicelin8045
    @bernicelin80453 жыл бұрын

    Like holy

  • @nolanh9
    @nolanh93 жыл бұрын

    Man we really all had the same unit 1 huh?

  • @elmoisred3388
    @elmoisred33883 жыл бұрын

    Couldn't you have figured that there was a line of symmetry and figured the (0,3) and the (2,3) and concluded the (1,2) was vertex?

  • @ariannepaleracio4794
    @ariannepaleracio47943 жыл бұрын

    What if I only have a single coordinate??? ughhh

  • @katrinamagno1762

    @katrinamagno1762

    3 жыл бұрын

    Yas, that's why i hate math

  • @johnbaptise2262
    @johnbaptise22623 жыл бұрын

    This only works if you have a 0 on ur point -_-

  • @brianmclogan

    @brianmclogan

    3 жыл бұрын

    It would just require more steps to solve the system

  • @ellemacdonald1006
    @ellemacdonald10064 жыл бұрын

    i want to marry you

  • @zzurved

    @zzurved

    3 жыл бұрын

    simp