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
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✅Write the Equation of a Quadratic Given Three Points
• Write the Equation of ...
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Пікірлер: 93
Dude you helped me understand something I spent a whole month trying to figure out. You brilliant madman.
@husseinsabrie3407
3 жыл бұрын
Factz
@aleksandrstinchcomb2840
3 жыл бұрын
@Weston Anthony May I ask why?
@pedrocodile5083
2 жыл бұрын
brilliant mathman*
@lilxtasy4936
2 жыл бұрын
they call him fireman cause he turns the hoes on
My teacher explained for an hour i did not understand u did it in 4min😎
@amreenaym786
Жыл бұрын
Now you’ve probably graduated 😎
@starboii568
Жыл бұрын
@@amreenaym786 not yet I'm very close to graduating tho
@ow_.
10 ай бұрын
@@starboii568 Graduate yet?
@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🙏🏾
Sir... what if we dont have any points that have a zero, therefore we dont know the value of C?
@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
4 жыл бұрын
@Flipping Around She's asking because she doesn't know.. why are you so rude? :((
@jssplrs
4 жыл бұрын
@Flipping Around Calm down.. it's alright. She wants to learn. 🙂
@stacyr4768
4 жыл бұрын
@@jssplrs if you transfer c to the other side of the equation, won't it become -c?
@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.
imagine having him as a teacher :0
awesome tutorial, helped soo much!
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
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! 😆
From the bottom of my heart thank you man!
this helps a lot thanks
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....
Great! Thanks
Thank you teacher so much
super amazing dude you are on another level..much appreciated
i wish i had a teacher like you
Thanks man !
brilliant explonation!
Most of your videos helps me a lot. Thank youuu so much
@brianmclogan
4 жыл бұрын
You're welcome 😊
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
How abt if the x axis numbers are negative how will you find C ?
thanks sm!
Best teacher in the world.
Thanks for helping me out !!!!
@brianmclogan
Жыл бұрын
You are very welcome
I need this for finals tysm
Literal hero right here!!
Life saver quiz tomorrow and i had no clue how to do these ones
Very efficient way to solve a problem 😇
so thank you from turkey you're amazing I was trying to understand this 🥺🥺🥺🥺
ohhhh i was using by instead of bx. thanks
sir what if you have a fraction in the points?
How did you know that is the formula to be used and not the x=ay2+by+c?
Thanks sir
you are my hero!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Thank you sir
@brianmclogan
3 жыл бұрын
You are very welcome!
could this work for a 4th order polynomial
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
How would you deal with c if the points given dont have x=0
@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
4 жыл бұрын
OhnoItsFranc you hope your teacher isn’t a moron or you have to do a 3 system
Ya seriously thx
thank you so much T_T
What a legend
Can I ask please what school do you teach in ?
What if the Y is 0?
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
3 жыл бұрын
It was the top equation and he just subtracted it
This guy sounds like my English teacher AND vice-principle.
Love u everisngle thing I class you know
THIS MAKES SO NO SENSE I WANNA DIE
@Cjade1011
3 жыл бұрын
mood.
@jakemullins4866
3 жыл бұрын
same
What if its value is not 0?
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
Who do we know that none of them was vertex in the given points Please help
Hey the comments are recent
i bet this dudes having no trouble teaching his students during quarantine
@brianmclogan
3 жыл бұрын
It was still rocky
First 5
What if none of the coordinates dont have a “0” in the points
@TJMJR1963
4 жыл бұрын
Matrix algebra... Don't wanna go there, homie! (Yet, at least!). ,,,😅😂🤣
@mahir7261
4 жыл бұрын
Charlie Mike oof
@taliaamayaa
3 жыл бұрын
@@TJMJR1963 well i need to go there i need help💀
@user-kn1rg2br4h
3 жыл бұрын
@@taliaamayaa Use a matrix calculator 😉
Our professor had us using the factored form of quads. f(x)=a(x-m)(x-n). And it made 0 sense. Thank you!
I have some challenging questions you probably don't know, but I can give it a try. How may I address them to you?
P E R F E C T
Like holy
Man we really all had the same unit 1 huh?
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?
What if I only have a single coordinate??? ughhh
@katrinamagno1762
3 жыл бұрын
Yas, that's why i hate math
This only works if you have a 0 on ur point -_-
@brianmclogan
3 жыл бұрын
It would just require more steps to solve the system
i want to marry you
@zzurved
3 жыл бұрын
simp