Write the equation of a parabola given a vertex and point

👉 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.
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Пікірлер: 175

  • @smilendlessly5128
    @smilendlessly51285 жыл бұрын

    This man is saving my educational career

  • @Sean-ob1ft

    @Sean-ob1ft

    2 жыл бұрын

    Sameee😹

  • @jcoop0008

    @jcoop0008

    Жыл бұрын

    single-handedly no less, what a legend

  • @siosifada

    @siosifada

    10 ай бұрын

    Same 😭🤩

  • @israeltenny5042

    @israeltenny5042

    10 ай бұрын

    You deserve a medal 🎖

  • @brianmclogan
    @brianmclogan10 жыл бұрын

    nah no worries, I expect nothing from all of my students, I really do appreciate you spending the time watching my videos, and guess what you are making yourself a stronger and smarter person, so thank you!

  • @TRIA_Gods_Child

    @TRIA_Gods_Child

    3 жыл бұрын

    thank you so much for the videos.

  • @abdullahal-farra2686

    @abdullahal-farra2686

    3 жыл бұрын

    thank you so much you saved u saved me no other videos explained it as well as u did subbed to u man :).

  • @alaacader7461

    @alaacader7461

    2 жыл бұрын

    Thank you so much! Your teaching methods are very helpful

  • @user-yo3nm1rt1j

    @user-yo3nm1rt1j

    2 ай бұрын

    Thank you mister and I think that your work will not lose 😊😊😊 I watch you from Egypt. Keep going 🩷🩷

  • @emperor8716
    @emperor87162 жыл бұрын

    10 years later and still you’re helping students, thanks

  • @anonymous3694
    @anonymous36949 жыл бұрын

    That was GREAT!! My math teacher was horrible at teaching this and she tried for an hour but you managed to do it in 5 minutes. THANK YOU SO MUCH, I BET YOU HAVE HELP SOOO MANY PEOPLE ALREADY :)

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    Seungsoo man I hope so as well, happy to be able to explain it to you where it makes sense. Keep up the hard work

  • @shaanpatel3413
    @shaanpatel34132 жыл бұрын

    This guy just sent my offline exam score from 68/100 to 83/100. Keep up the work man. Love your videos

  • @reggie_au
    @reggie_au5 жыл бұрын

    You're so great, Brian. Thankyou all the way from Australia :)

  • @nicolekuperman917
    @nicolekuperman917 Жыл бұрын

    As someone who makes B's or better and has taken many math classes, I've struggled with math but found a way to understand it better. I took business Calculus and made an A. How I did that, youtube videos. I don’t know you, but your videos have helped me so much that I'm passing trigonometry because of you. You explain focus, vertex, and more so much easier.

  • @brianmclogan
    @brianmclogan10 жыл бұрын

    b is your coefficient of your linear term

  • @r1g8p7
    @r1g8p72 жыл бұрын

    2012. And your video is still helping people in 2022. And for many years to come. Thank you for taking the time to make this video and posting it. ✌🏽❤️🙂💪🏽🙏🏽

  • @brinda2553
    @brinda25535 жыл бұрын

    thank you so much! i was really confused on how to do this and i realized i was making a silly mistake after doing this. this video was very clear and easy to understand!!!

  • @jasminehill8649
    @jasminehill86492 жыл бұрын

    THANK YOU FOR THIS VIDEO!! I was crying because my teacher gave us homework with this but didn't explain how to do it. You are a lifesaver!

  • @NitroSheep
    @NitroSheep2 ай бұрын

    my mans is singlehandedly saving my math grades

  • @andreynasonov9527
    @andreynasonov95273 жыл бұрын

    This man needs a medal for saving lifes

  • @FunCode123
    @FunCode1233 жыл бұрын

    You have saved me during these times of Covid-19. We just recently got a new teacher who does not know what he is doing. He likes to mumble a bunch and since I am online, I along with many others cannot understand what he is doing. Thank you so much for this video, I don't know what I could do without this channel being here! :D

  • @sana-qx1pr

    @sana-qx1pr

    3 жыл бұрын

    I'm a slow learner, so after a new lesson, I do a lot of self-studying. He's so helpful!

  • @jasminehill8649
    @jasminehill86492 жыл бұрын

    I just recommended you to all of my friends. I'm gonna show your video to my math teachers.

  • @mricygamer7399
    @mricygamer73997 жыл бұрын

    Thank you sooooo much!!! I'm an eighth grade student taking high school algebra and i didn't understand how to do this. Without this I might of not passed the class. THANK YOU SOOOO MUCH!!!!

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    you are very welcome! happy to be able to assist you

  • @Kazper999
    @Kazper9995 жыл бұрын

    Clicked with me as soon as you said point-slope! Thanks boss

  • @dropnwaffles5445
    @dropnwaffles5445 Жыл бұрын

    This video is so old but thank you so much for making math a little easier to understand when I need you man

  • @brianmclogan
    @brianmclogan11 жыл бұрын

    hard to do in a comments section but wolfram mathworld has a great explanation on their website, along with a visualization

  • @amonke5983
    @amonke59833 жыл бұрын

    Thank you so much! This cleared up my confusion!

  • @aylabahram6733
    @aylabahram67337 жыл бұрын

    bless your soul, I have a midterm exam, and we never reviewed this in class or in the guide work so thank you so much

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    awesome happy to be able to help!

  • @yetijpg1427
    @yetijpg14274 жыл бұрын

    every single one of your intros looks like an intro to a supervillain. you're the best

  • @michelle-agathenormil
    @michelle-agathenormil8 ай бұрын

    Thank you so much for making this video! I was able to finally understand how to find the slope using the vertex and a point and I solved my math problem!

  • @sana-qx1pr
    @sana-qx1pr3 жыл бұрын

    I've been enlightened. Thank you!

  • @jahziahdefoe4208
    @jahziahdefoe4208 Жыл бұрын

    This was very much needed thank you

  • @whitebricksaregood1275
    @whitebricksaregood12752 жыл бұрын

    its almost christmas break and im hustling over here for senior year and i couldnt solve this, you are a lifesasver

  • @jutsu712
    @jutsu7125 жыл бұрын

    *Yes the videos from 2006 are helping me*

  • @alexalonsomendez-arias2286

    @alexalonsomendez-arias2286

    5 жыл бұрын

    Subscribe to me If you laughed ikr

  • @dillonpollard4545

    @dillonpollard4545

    4 жыл бұрын

    I know the ad

  • @rban123
    @rban1234 жыл бұрын

    Can you please use the standard form of a parabola which is (y-k)^2 = 4p(x-h)^2 (for horizontal parabola) or swap x and y for vertical parabola? PLEASE USE STANDARD FORM

  • @Sarahlowe550
    @Sarahlowe550Ай бұрын

    Thank you!! Your videos are a life saver. Super succinct and helpful

  • @venkataramanaraogarimella3082
    @venkataramanaraogarimella30824 жыл бұрын

    Thank you sir.Very useful tutorial.

  • @acebitayo1992
    @acebitayo19923 жыл бұрын

    do you always need to put +1 after 3=4a-1 or not. Thank u

  • @ethanpickrell5225
    @ethanpickrell52256 жыл бұрын

    thank you so much, this makes so much sense now

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    awesome! happy to help

  • @kontio1mk29
    @kontio1mk292 жыл бұрын

    parabola stuff are a pain to me so this absolutely helps thanks

  • @alexis-ms9mi
    @alexis-ms9mi4 жыл бұрын

    yoooo you really helped me! I have a test tomorrow:)

  • @Cm-zc2zx

    @Cm-zc2zx

    2 жыл бұрын

    Now it has been two years u has given ur exams..

  • @MUMBLE-nw5pp
    @MUMBLE-nw5pp3 жыл бұрын

    I have a question, is the second point, (x, y), the same thing as the focus of the parabola?

  • @TechWorks
    @TechWorks5 жыл бұрын

    You explained it very well

  • @altoic3430
    @altoic34303 жыл бұрын

    here after 9 years😁💕.thank you sir

  • @hazelmazo2801
    @hazelmazo28012 жыл бұрын

    You're so good 😊, thank you so much

  • @juliaa2701
    @juliaa27014 жыл бұрын

    thank you for this dude!!

  • @amberdomanus4577
    @amberdomanus45776 жыл бұрын

    Thank you so much for this it prepared me for my quiz today :)

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    awesome! best of luck!

  • @infernosm3857
    @infernosm38574 жыл бұрын

    Helped me alot.... Thanks sir.. 😁😁 From India

  • @a.t7156
    @a.t71565 ай бұрын

    as someone who is cramming for a quiz after falling asleep in class, thank you for helping me understand this

  • @obeselemons1239
    @obeselemons12396 жыл бұрын

    big help thanks! my teacher is no where near this good

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    happy to be able to help you out!

  • @mikevinton3834
    @mikevinton38343 жыл бұрын

    Y’all bugging or is this man 1748483948592858583848584848585 times better than your teacher

  • @isaiahobasohan3978
    @isaiahobasohan39788 ай бұрын

    can someone explain to me why he adds a one to the 3 and the negative one

  • @joeboses2587
    @joeboses25872 жыл бұрын

    BLESS YOU BRO YOU ARE THE GOAT SIR!!!

  • @musabsrt
    @musabsrt Жыл бұрын

    Thank you so much! teacher.

  • @SmartBlondeCodes
    @SmartBlondeCodes10 ай бұрын

    Thank you so much!

  • @makenziebowers2680
    @makenziebowers268010 жыл бұрын

    Thank you!!! SO much help!

  • @brianmclogan

    @brianmclogan

    10 жыл бұрын

    Makenzie Eyre you are very welcome!

  • @brianmclogan
    @brianmclogan10 жыл бұрын

    no I teach high school in Jacksonville Florida

  • @nowanknows7131

    @nowanknows7131

    6 жыл бұрын

    ayeeee Jacksonville

  • @rumelieporras607

    @rumelieporras607

    6 жыл бұрын

    what if the x intercepts was not in the whole number ser?? how to solve it can you please teach me??

  • @codymcginnis7837
    @codymcginnis78375 жыл бұрын

    lmao I got a take home exam and you did it all for me in 2012

  • @Trandrew1023
    @Trandrew102310 жыл бұрын

    I should be the one to say thanks at the end of the video :D

  • @sydneyseipel5502
    @sydneyseipel55024 жыл бұрын

    what should we do if the a=0?

  • @mileshatch3316
    @mileshatch33165 жыл бұрын

    thx

  • @Joshua8224
    @Joshua82242 жыл бұрын

    Math is timeless

  • @Hi-hz9lr
    @Hi-hz9lr4 ай бұрын

    Man you saved my maths assignment

  • @ByWesleyyy
    @ByWesleyyy9 жыл бұрын

    Great video, I didn't understand it until I saw this, we use y at my school, not fx

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    Wes T y and f(x) can be interchangeable but will depend on if you are working with equations or functions which yes can depend on the school

  • @nataldeneke9201
    @nataldeneke920110 ай бұрын

    To master skills and be able to explain it in simple terms that will help people like me even 10 years later is something that can only be done by: THE TOP 1%

  • @sanyamvatta
    @sanyamvatta Жыл бұрын

    This guy is a legend.

  • @brianmclogan

    @brianmclogan

    Жыл бұрын

    💪💪💪

  • @jackdaawesome464
    @jackdaawesome4644 жыл бұрын

    THANKS!!!

  • @Sealawg
    @Sealawg Жыл бұрын

    How do you find its directrix?

  • @trevorhouse4524
    @trevorhouse45244 жыл бұрын

    Thank you

  • @cp96799
    @cp967994 жыл бұрын

    A true hero teaches math like ABC

  • @nanamikents1760
    @nanamikents17603 жыл бұрын

    thank you !

  • @puglifecr9884
    @puglifecr9884 Жыл бұрын

    What if I want to rewrite in standard form?

  • @faithisabel25
    @faithisabel256 жыл бұрын

    Thank you for your video, Sir

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome!

  • @nidurnevets
    @nidurnevets6 жыл бұрын

    Thanks for the video. I am trying to learn more math. I am a semi-retired music teacher from NY.

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome! Curious, what brings you back to learning more math?

  • @nidurnevets

    @nidurnevets

    6 жыл бұрын

    I have always had an appreciation for math, but I only took the required courses when I was in school. I majored in psych., in college, but ended up in the music teaching field.( I come from a family of people in the arts.) I taught, primarily, the string instruments in my thirty something years in the schools. When I retired from the schools (I am continuing to work with private students) I decided I would try to learn calculus. I quickly realized that my basic math skills were so poor that I would have to learn/relearn the math that leads up to it to get anywhere at all. I have had a little help from a physicist, whose daughter I taught for several years, but it has mainly been a haphazard process on my part. I have made some headway in my understanding. It has been good for my teaching to move to the other side of the "equation," and have the "I don't get this at all" experience. One can forget that experience if too much time is spent in familiar territory. I also think it is good to push the mind in directions it doesn't usually go, especially as one gets older. Thanks for asking!

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    cheers I very much agree with you. Many people blame mathematics because much of what we teach is not applicable to real life, which yes I agree and understand. On the other side of the coin we have done a poor job for many years not allowing students to be intrigued with mathematics and explore its beauty for the sake of learning. (focus on processes, tests and tricks) I hope as you continue this journey to notice the connections and simplicity of mathematics that will help you strive to continue to want to learn more. That is what the study of mathematics has brought to me and I am so thankful I was able to experience it. It really is the language of our universe. Kudos to you.

  • @nidurnevets

    @nidurnevets

    6 жыл бұрын

    Thanks for your wonderful reply. The connections in mathematics intrigue me. When I grasp something of that nature it is fascinating! Sometimes I see the hint of a connection somewhere but can't quite put it all together. I think it has improved my thinking in general, and it has lead to improvements in my teaching and understanding of music. All the best!

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    absolutely! I think you might enjoy this ted talk if you have not already seen it kzread.info/dash/bejne/jIV5ztyjc9bSadI.html. Btw I played the trombone for 8 years and owe so much of my development and learning to music.

  • @arkxii0929
    @arkxii09299 ай бұрын

    Sir the lower case f is confusing me.whats it for ?

  • @melissatran3144
    @melissatran31443 жыл бұрын

    thanks appreciate it 👍

  • @liammckayproductions
    @liammckayproductions Жыл бұрын

    Excellent video.

  • @letlotlomogatusi2768
    @letlotlomogatusi27686 жыл бұрын

    Thank you this really helped me

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome!

  • @FunCode123
    @FunCode1233 жыл бұрын

    Claps for you 👏👏👏

  • @jasbirsingh561
    @jasbirsingh5616 жыл бұрын

    In which grade you study conic sections in USA??

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    typically pre-calculus

  • @jasbirsingh561

    @jasbirsingh561

    6 жыл бұрын

    Brian McLogan i mean which grade.... school ... High school...or college

  • @hallyzhou

    @hallyzhou

    6 жыл бұрын

    depends, someone will never take this class cuz they don't want to, always sophmore year or junior year.

  • @parthpagar6644
    @parthpagar66444 жыл бұрын

    imma start a cult having you as supreme leader math

  • @parthpagar6644

    @parthpagar6644

    4 жыл бұрын

    god bless you sir

  • @souleater101ful
    @souleater101ful7 жыл бұрын

    is it the same if in the problem it says that it has a "vertical directrix" or do i change it to x = a(y-k)^2 + k ????

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    that would be the equation if the directrix is vertical

  • @souleater101ful

    @souleater101ful

    7 жыл бұрын

    Brian McLogan Thank you so much. My old teacher was talking about using the formula from conic sections, the one where the vertex is not on the origin and opens horizontally. Any ideas why?

  • @shabantwaha...
    @shabantwaha...9 ай бұрын

    Would you try this for me...Given that the line Lx+my+c touches the parabola Y²=4ax and show that ln=am...please thank you

  • @syedmujeebrehman7335
    @syedmujeebrehman73356 жыл бұрын

    Sir is there a different way of finding the equation, given a point and vertex of a parabola?

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    not that I am initially aware of, what is wrong with this method?

  • @syedmujeebrehman7335

    @syedmujeebrehman7335

    6 жыл бұрын

    Sir,there is nothing wrong with this method, but i did it with another method and i got the answer in standard form.

  • @ivana9742
    @ivana97425 жыл бұрын

    thank you so much!!!

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    you are very welcome!!!

  • @sweets2322
    @sweets23222 жыл бұрын

    what if i only have 1 zero and the vertex, i don’t have both a y & x point

  • @joshycasuga2555
    @joshycasuga25552 жыл бұрын

    Hmm it can also be a y^2 right?

  • @emmettbortnick1181
    @emmettbortnick11814 жыл бұрын

    Helpfull

  • @angelabantayan9922
    @angelabantayan99223 жыл бұрын

    Where’s the (-1,3) came from?

  • @yunggeb6439
    @yunggeb64395 жыл бұрын

    Clutch af

  • @Agashi7
    @Agashi72 ай бұрын

    This guy is the goat 🐐

  • @saranajafi1509
    @saranajafi15096 жыл бұрын

    YOU SAVE MY LIFE THANK YOU

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome!

  • @user-xk1hn7zl4y
    @user-xk1hn7zl4y3 ай бұрын

    How can i find equation of graph from given point of vertex and extreme values😮😮😮

  • @cheyenneb4263
    @cheyenneb42633 жыл бұрын

    dang both your videos i found on this use only standard form but i have to find a b and c. idk what is going on

  • @jandl0704
    @jandl070411 ай бұрын

    What did he say??

  • @nrojb8454
    @nrojb84542 жыл бұрын

    Not me learning from a 9 year old vid more than my teacher

  • @brianmclogan

    @brianmclogan

    2 жыл бұрын

    Boom!

  • @nrojb8454

    @nrojb8454

    2 жыл бұрын

    Oh my god! :0

  • @boytriesstuff
    @boytriesstuff2 жыл бұрын

    deadass my teacher confused the shit out of me, how is this so simple my fucking god

  • @yasodha340
    @yasodha34011 жыл бұрын

    Nice video ..can u explain what is an involute curve...

  • @alyssasembrat8096
    @alyssasembrat80966 жыл бұрын

    You good sir are an angle

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    obtuse or acute?

  • @joeboses2587
    @joeboses25872 жыл бұрын

    SAVED MY FUTURE AND SHIT NO CAP

  • @miyaaaaaaahhhhhhhhhhh
    @miyaaaaaaahhhhhhhhhhh5 жыл бұрын

    What if zeros and point was given?

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    need to use standard form and system of equations

  • @kellyvu8475
    @kellyvu8475 Жыл бұрын

    keep on slaying!

  • @purplegoku6313
    @purplegoku6313 Жыл бұрын

    W manz fr

  • @ladotiberiomorgan4710
    @ladotiberiomorgan47106 жыл бұрын

    Hey am lado from south Sudan in I have problem in parabola can you help me

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    sorry I am only able to spend enough time over what I am currently teaching, if you have a brief question I may be able to help

  • @felixliang6877
    @felixliang68777 жыл бұрын

    how is this precalculus???

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    It is a review of quadratics taught in Algebra 2 but also taught in Pre-Calc at the beginning of the year

  • @felixliang6877

    @felixliang6877

    7 жыл бұрын

    ah I see thank you

  • @appleflipper
    @appleflipper3 ай бұрын

    you are the cool

  • @oliverzhang8737
    @oliverzhang87376 жыл бұрын

    Your american accent is so strong sir

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    well........where are you from?