Equation of Parabola Given 3 Points (System of Equations)

Learn how to write the equation of a quadratic (parabola) when given 3 points on the parabola by solving a system of equations. We discuss how to solve the system using the elimination method and how to write the equation in the y=ax^2 + bx + c form.
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Here is another popular video I did on the same topic
• Find the Equation of a...
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[@tnebula2100]

I love the sound of his marker on his whiteboard lol. Simply the best video for this topic on CZcams.

[@MariosMathTutoring]

Glad you liked the video!

[@prakh1250]

Thanks!
I don't pay any attention in online school, this really helped!

[@Mike-mv3tn]

omg that was 3 years ago already

[@spoorthy8570]

May the Gods bless you with an unlimited supply of toilet paper. Thank you so much for helping me out!

[@ethanhaley1425]

yeah that was a crazy year

[@henryliu8987]

@@ethanhaley1425 agreed

[@carterc4307]

Good times

[@austinreinhardt7484]

There are no words to explain how much this video helped

[@Dreamer_Soul01]

Thank you Sir, I love your teaching techniques, I learned so much from your videos. I recommended your videos to my classmates in college and they were so excited.
Highly appreciated.

[@MariosMathTutoring]

You’re welcome Ajmal! Thanks for passing the word about my channel!

[@Voidbear_FNaF_and_Undertale]

This is one of the math problems I see and think "When in the world am I going to have to solve this in a real life situation. Anyways, still gotta learn it." thanks for making it clear

[@xathomir]

You would be surprised. People study much higher level math than this and get some of the highest-paying jobs in the world. Do not underestimate Math.

[@VinnyChu]

Thank you so much, I completely forgot everything I learn in Alg 1 this really helped :D

[@skalk6137]

this man just goes throught it in 5 minutes. it took my teacher 1 week to explain it and no one understood. lol w video

[@aybusiness19]

Thanks so much from the UK, this really helped me out on my GCSE's!

[@MariosMathTutoring]

Awesome! Glad my video helped you!

[@shyamantabhuyan2927]

Thanks love from India

[@kreamcodm3756]

Thanks, I definetely understand this more than my teacher :)

[@mvaranawat42]

Thank you so much for this video! I had a problem like this and had no idea as to how I should approach it. Simple and straightforward, please continue making such content! :D

[@MariosMathTutoring]

Glad it helped!

[@Alfredo5883]

Great video....informative, simple language and very clear!

[@MariosMathTutoring]

Glad you liked the video Alfred!

[@leadpoisonerr8417]

Bro, you are god send thank you for actually covering this.

[@NipunKaushik]

thanku so much for for your precious help
it helped me a lot in physics graphs

[@MariosMathTutoring]

Glad to hear that

[@NumberWorksnWordsPapamoa]

Brilliant video. Master teacher at work!

[@MariosMathTutoring]

Wow, thanks!

[@notrickastley4987]

This absolute genius

[@_perryperry]

This is like the most HD math tutorial ive ever seen on youtube.

[@eddiej788]

you're actually a lifesaver dude, thank you so much for this

[@dumcatgaming]

thank you so much. this video really helped me out with homework.

[@manishbohara4489]

I usually don't subscribe to people but ur level is different
ur short videos help me to actually understand the concept
keep the great work up

[@hey_adora7746]

THANK YOU FOR SAVING ME FROM HONORS ALGEBRA 2 STRUGGLES BRO

[@christophermitchell1544]

I'm in a boarding school program called Prep 9, and this literally SAVED ME on my test today. If I would've failed my test, I don't think I'd make it through the spring semester. Passing that test (midterm) was SOOOOO important to me, and I'm going to be a Hotchkiss Bearcat thx to you!
-Christopher (The eternally grateful, overworked, 14 year old)

[@MariosMathTutoring]

Glad to hear my video helped you Christopher!

[@herbcruz4697]

A little bit of Linear Algebra can definitely come in handy, here. Once you get your system of equations, write it as an augmented matrix, and then either use Cramer's Rule or get this matrix in Reduced Row Echelon Form (RREF). Other than that, great work!

[@coldshock5181]

Wtf

[@herbcruz4697]

@@coldshock5181 Even then, solving a system of equations using matrices, Cramer's Rule (using determinants of matrices to solve a system of equations), and writing a matrix in Reduced Row Echelon Form (RREF), are all concepts that I actually learned back in high school.

[@shanecannon7253]

Thanks Mario!

[@jadenthecommenter]

thanks for this my teacher didnt bother teaching us what to do when you didn't get a y intercept for a point.

[@tarync8248]

Thank you. Been struggling with this one

[@MariosMathTutoring]

Glad to help

[@veveriu]

Great video! This helped me a lot one thing, I'm having a hard time understanding why you multiplied 15a + 3b = 6 by 2 and how did you know to multiply it by 2? same with the other equation you multiplied by -3.

[@brazimouz]

Thank you so much you are the only one who explained it to me in a way I could understand! ❤

[@Mr-ep2qi]

Great video my frien!!!

[@jayceel251]

Thank you so much I was crying and bawling and then I fell on the floor because I slipped on my hat but this made my skin soft and clear and made me understand what I was missing. I hope you are blessed

[@MariosMathTutoring]

Glad it helped!

[@lordandsaviorcheesus288]

Thank you for blessing me with your knowledge

[@namviper1937]

Damn, 30 min later i found this Gem, couldn't have explained it better my self, thank you!!

[@MariosMathTutoring]

You’re welcome!

[@ismaelzeidan3350]

Thank you i was thinking something along those lines. But i was unsure.

[@tapu_]

Thank you, I never thought about using y=ax²+bx+c. I was trying (x-h)²=4a(y-k) to solve and it was making no sense

[@stalinmatos3296]

I wish you can provide practice sheets online to practice what you jist did..i think all of us know it but I think doing it yourself would be great for practice and experience.

[@gabyelbebe831]

I love you Mario

[@blake5322]

never thought Jeff Bezos would teach me math

[@paulglavan1228]

Probably one of the best explanations I've ever sent in my life. Brief, succinct and clear. Great job

[@ronaldreagan3393]

you are very great

[@akb7271]

Thank you.

[@jgallagher3273]

absolute legend!! thank you

[@FraughtHalo]

Thank you!! Its less complicated than my module😃😃

[@Sheroine13113]

Thanks, my maths teacher didn't teach us what to do with 3 equations and she expect us to do it.😑 And then I also asked my friends in other schools about how to do it, and they tell me to use the simultaneous equation. My reaction is I know, but how can I do with 3 equations?! I feel embarrassed if I kept asking them since their tone is just like explaining the easiest thing in the world. And I know it's half of my fault for not self-studying other things than the teacher taught us in school.
Therefore, thank you, it really helps.

[@Health.Nutrition_Dana]

Thank you !!!!

[@acnhdomlover7214]

You are amazing thank you!

[@MariosMathTutoring]

You're so welcome!

[@iremsuco]

so so thank you man

[@irenepasculado6382]

thank you so much

[@Drforeverok]

Thank u very much mario! I really appreciate you!

[@AQUARIUS_20]

Thanks 🙏

[@robertbarlund1133]

very nice and concise, thank you

[@alberasdws2dsa264]

Thank you sir! Very helpful

[@phoenixx190]

perfectly explained

[@nicholasalexander436]

thank you!!!!!!!!!!!!!!!!!!!!!! life saver for math IB!!!!!!!!!!!!!!!!!!!!

[@MariosMathTutoring]

Glad my video helped you!

[@markbortnovsky9134]

Thanks this helped me a lot!

[@ginam1729]

thank you alot

[@zainthemaynnn]

thanks a lot sir. my textbook just told me to use my gdc hehe

[@CordTv_DIY]

Thank you so much Sir! It's such a huge helped qith my homework.

[@shelbyliu7150]

thank you! :)

[@Hannahwallickkk]

Thank you so much

[@MariosMathTutoring]

You're most welcome!

[@freddy8035]

thanks homie

[@kryzllegolosinda363]

I've been given 3 points and it should be parallel to x-axis? What will I use? x= ay^2 + by +c or y = ax^2 +bx + c?

[@aptthedoctor2703]

Thank you soooo much I can finally stop crying over math I couldn't understand and maybe graduate XD

[@IsaBella-kq1jc]

Helpful! Thank you! 😄

[@gblin-lm6oc]

can you do a video of the other method you mentioned? with the -1

[@meowers2730]

How do I eliminate -6=5a+1b
2=3atb?

[@angelosavioti4627]

Absolutely perfect!

[@MariosMathTutoring]

Glad you liked the video Matheus!

[@ccccc.25]

this saved my life

[@MariosMathTutoring]

Glad my video helped you Clark!

[@hannahlagata7124]

How did you solve for C?

[@dontgiveup8743]

Yeeeeeee I loved ur stalk 🤩

[@anthonymaione8307]

π is a larger constant so of course it would be greater than e as an exponent.

[@frogvaccines5721]

THANK YOUUUUUU OMG

[@hamsack981]

Thank you sir!

[@MariosMathTutoring]

You’re welcome!

[@ebonyrochelle4292]

Thank you very muchhhh! This helped me alottttt!

[@MariosMathTutoring]

You’re welcome Ebony! Glad my video helped you!

[@chloeworcester2798]

Thank you so so much!!!!

[@MariosMathTutoring]

You’re welcome Chloe!

[@sav7259]

thank you !

[@MariosMathTutoring]

You’re welcome Annie!

[@nenuokkadu265]

Sir, if I am given any 3 random points, how will I know if the parabola is of form y=ax^2+bx+c. Or x=ay^2+by+c

[@noway2831]

what about the matrix method?

[@tuco0x]

I dunno, man. I think when you are down to the last two variables and equations (a and b), it is more methodical and easier for someone learning to follow the solution by simply just solving for, say, 'a' , substitue it into the second equation, and then solve for 'b'. By performing some mental gymnastics on the side to the equations so constant math is "easer" just adds more 'rules' and confusion to the solution and learning process, IMHO. Of course, YMMV.

[@NoNo-ec5xi]

you saved me! thank you ❤️

[@MariosMathTutoring]

You’re welcome! Glad my parabola Video helped you!

[@dea-animator1906]

I was about to say what if you have 2 points but you know One is absolute bottom or top but than you can make your own 3d point because de difference is x to the other point to the other Side is the same

[@paulstefanpopa-bratu9521]

I'd like to hear him sing O' Canada.

[@gouramiryan1401]

Literally saved me from certain failure

[@cynthiaweber7623]

THANK YOUUUUUU ily

[@faisalakram1051]

Thanks

[@MariosMathTutoring]

You’re welcome Rimsha!

[@elissagibson118]

what happens if you don't have a least common multiple to cancel out the B values... I googled a least common multiple for numbers "0.014791652" & "0.013268203" and got "196258.641441356" but it doesn't work :( what should I do?

[@MariosMathTutoring]

Elissa you would need to solve a system of equations...I show you more about how to do this with 3 variables in this video here: Elimination 3 Variables (Multiple Examples) czcams.com/video/455-25-P1rU/video.html

[@donttell3185]

Bro looks like he knows math.

[@shaanpatel3413]

When you realise that a 200k sub youtuber can teach me better in a video than my teacher in a month 💀

[@cheizkamaemanghano4767]

Sir where did the C go?

[@nathanielrainford888]

My teacher put this on an open book test without teaching this to us☹️

[@wavykendoll824]

Will this be on the ACT?

[@MariosMathTutoring]

Tj...parabolas are definitely an important concept to know for the ACT and SAT math sections.

[@iphilip1]

my maths teacher use cas instead
during test cas isn't allowed

[@lilypumpa7990]

I don't know why I have to do this while in Year 9 of high school.....

[@akshaykumar-un4td]

1K LIKE

[@StelloScope]

Your 6 is suppose to be -6

[@pablodev4934]

God sent you to help, this is why I love god

[@ethanhaley1425]

okay maybe ill pass

[@netconner]

thx Jeff Bezos