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.
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✅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 ...
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[@priffu5160]

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

[@husseinsabrie3407]

Factz

[@aleksandrstinchcomb2840]

@Weston Anthony May I ask why?

[@pedrocodile5083]

brilliant mathman*

[@lilxtasy4936]

they call him fireman cause he turns the hoes on

[@starboii568]

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

[@amreenaym786]

Now you’ve probably graduated 😎

[@starboii568]

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

[@ow_.]

@@starboii568 Graduate yet?

[@starboii568]

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

[@cynthiaweber7623]

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

[@jssplrs]

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]

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

[@jssplrs]

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

[@stacyr4768]

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

[@jssplrs]

@@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]

imagine having him as a teacher :0

[@4louisMC]

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

[@EpicDragonBro]

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! 😆

[@danielcostandi6745]

awesome tutorial, helped soo much!

[@eli.b.7559]

From the bottom of my heart thank you man!

[@cooldudxyxy7611]

i wish i had a teacher like you

[@kasx]

this helps a lot thanks

[@oof8911]

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....

[@brayton6683]

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]

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

[@nimcaandayib6222]

Thank you teacher so much

[@kochomohamud4441]

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

[@jesuisravi]

Great! Thanks

[@arrietty1619]

Best teacher in the world.

[@user-uj7bf1bw1k]

brilliant explonation!

[@iremsuco]

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

[@cres7015]

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

[@isigh.]

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

[@gatorscoops3861]

Thanks man !

[@Loading.dot.]

sir what if you have a fraction in the points?

[@umarmaitla7884]

Very efficient way to solve a problem 😇

[@roquebongalon7102]

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

[@brianmclogan]

You're welcome 😊

[@khadijachambers4820]

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

[@-mwolf]

thanks sm!

[@abhirammarru2434]

I need this for finals tysm

[@blakelaner8326]

Literal hero right here!!

[@jg6551]

ohhhh i was using by instead of bx. thanks

[@christieng5166]

Thanks for helping me out !!!!

[@brianmclogan]

You are very welcome

[@aleciasosa2941]

THIS MAKES SO NO SENSE I WANNA DIE

[@Cjade1011]

mood.

[@jakemullins4866]

same

[@hanatarek8816]

could this work for a 4th order polynomial

[@mjeangriffin]

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

[@bernicelin8045]

Can I ask please what school do you teach in ?

[@Lilly-to9hs]

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

[@dodong2.99mllegend8]

Thanks sir

[@shrutiupadhyay5013]

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

[@staaaaaa6183]

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

[@mijahh]

What if the Y is 0?

[@joshhamilton7965]

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]

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

[@LynxMajic]

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]

It was the top equation and he just subtracted it

[@rahafkwider7468]

Thank you sir

[@brianmclogan]

You are very welcome!

[@franc1159]

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

[@jssplrs]

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]

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

[@meowers2730]

What if its value is not 0?

[@JamJamIU]

What a legend

[@grayscott8530]

Ya seriously thx

[@bernicelin8045]

Love u everisngle thing I class you know

[@redgefleming1535]

Hey the comments are recent

[@peebeeaguirre5858]

thank you so much T_T

[@elmoisred3388]

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?

[@gdbrickfilms4200]

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

[@brianmclogan]

It was still rocky

[@mahir7261]

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

[@TJMJR1963]

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

[@mahir7261]

Charlie Mike oof

[@taliaamayaa]

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

[@user-kn1rg2br4h]

@@taliaamayaa Use a matrix calculator 😉

[@nolanh9]

Man we really all had the same unit 1 huh?

[@friskiesbypurina]

First 5

[@MasterMindmars]

P E R F E C T

[@ariannepaleracio4794]

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

[@katrinamagno1762]

Yas, that's why i hate math

[@bernicelin8045]

Like holy

[@johnbaptise2262]

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

[@brianmclogan]

It would just require more steps to solve the system

[@ellemacdonald1006]

i want to marry you

[@zzurved]

simp