write an equation of a parabola from a given graph

write an equation of a parabola from a given graph, vertex form and standard form
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[@blackpenredpen]

For more algebra tutorials, please see my new channel "Just Algebra" bit.ly/just_algebra

[@jaypumphery.rockmusicmaste8827]

You covered more in this video than my math teacher does in a full hour and a half 😂

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Strait facts

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nah fr bro

[@brysontraylor783]

I wish this man taught all my classes

[@blaise6355]

This is the first person I've known who does 7 hours of math on there bday.

[@cindynelson1139]

As a parent trying to assist her online math learning 7th grader THANK YOU! Your explanation was perfect and you showed every step.

[@flippy5574]

thank you so much, you explained it so much better than my actual math teacher:)

[@Hiatchhhx]

I'M NOT EVEN JOKING. I HAD AN ASSIGNMENT DUE AT 12 AND THANK YOU THANK YOU FOR HELPING ME UNDERSTAND THIS STUFF lol

[@misterbaleize]

Your dexterity at the white-board is phenomenal and your explanation is clear, concise and completely convincing: thank you.

[@ender_arrows682]

Very Helpful! I think this is exactly what I've been trying to figure out, and it was explained very well!

[@cole4249]

Thank you this was very helpful, especially when you explain where the numbers came from when writing the equation itself at the end.

[@pithecophagajefferyi6792]

Thank you very much! I was struggling with my physics homework because I forgot how to write the equation of a parabola. This really helped me. :))))

[@caroannekennedy2794]

Thank you so much! This was very helpful and your explanation was very easy to follow!

[@avijxt]

bro this guy is so good, i literally learned so much and he is such a great teacher, keep up the amazing work dude

[@danswrath147]

thank you for the basic break down, you simplified it more that all my teachers did through high school.

[@TheManLarry1]

I was struggling to understand the material until i found this video, thanks a lot 😂🙏🏽

[@Adi-gw2sx]

You taught me more in 4 minutes than my teacher could in four days, thank you so much

[@richardlau395]

Thank you. I know you produced this video 6 years ago and your teaching skills have improved immeasurably. However, I think it would have been helpful if you explained that you tackled the problem initially by completing the square, as most of us would be more familiar with this approach when asked to write down the equation, given the turning point/vertex (or vice versa). Otherwise, well done and keep up the good work.

[@miraberryy]

Thank you so much for this lesson, it helped me so much and I could understand everything perfectly

[@arsaimaasnake1642]

Thank you!!! I have a unit math test tmr and didn’t understand nothing but now I will do great🙏🏽

[@waytopeace2703]

broo this man makes it look sooo EAASY.. And my teacher em doing some calculas type of shit to find the vertex.. LOL

[@jamiedebbs2218]

Thanks you answered all the questions I had about this without having to struggle to raise my hand

[@chiefchocho5321]

great work my man, u helped me a lot, keep up the good work!

[@greypencil6372]

Another way to do this is to set Y = a(X-b)(X-c) and find a, b and c. Note that if X= b and/or X = c we have Y = 0. So take b = 1 and c = -5 and you end up with Y = a(X-1)(X-(-5)). In order to find a you should require that one of the points (0,5) or (-2,9) is on the graph. Substitue for X = 0 and Y = 5 and you see that 5 = a(-1)(5) or 5 = -5a. This gives you a = -1. The equation is Y = - (X-1)(X+5). This, of course, is identical to the solution in the video.

[@-mynkz6451]

k

[@aleena158]

What if the prabola we are dealing with has no X intercept or only one? Is there any direct way like this one u wrote to get the standard ax^2 + bx + c ? Or do we have to open and solve the form shown in vid?

[@CrimsonGeode]

engaging and interactive, man is a literal chad

[@lazaroussakala7709]

excellent, simple and smart explanation.

[@yeetray6849]

bro, I have been struggling to solve these damn problems, but you saved me!!!!!!!

[@aaliyah5795]

srsly thank you so much, i was having such a hard time understanding, and i understood perfectly in this video

[@tylerschmidt6375]

Thank you so much man, this is very clutch

[@colinpollett337]

Thank you so much this really helped me with my math

[@promax1113]

this came in clutch, i literally have an exam about this in like no time

[@penelopeflouras2402]

Super helpful video. Thanks a ton!!!!

[@BenRebekah]

Thank to so much for this explanation!! 🙌

[@jorgegallegos6629]

Thank you, great explanation.

[@lediszz7315]

This was SOOO HELPFULL

[@AyaanKhan-wf9em]

Thank you so much this was so helpful.

[@Shilpe_e]

If we are not given the points on y axis then how can we make the equation..?

[@rohinihrudhay5600]

Hello , thank you so much for the help man

[@gpn962]

Very clear! Thanks mate

[@vivaansharma17]

I have similar questions like this. But the turning point (vertex) is not given. How can I find that without the equation only from the graph?

[@madaragaming4064]

thank you, u helped me alot

[@arshveersidhu9614]

thank you so much you saved my life bless you

[@trulyy1726]

U made this so easy thanks keep it up

[@annafedorchuk1178]

thank you so much. Its very helpful

[@vanceberget2157]

Awesome video helped a lot

[@Shaheeeeer]

Thank You !!!

[@arthur7560]

thank you very much dude

[@ARS-fi5dp]

Thank you man❤

[@The_Daily_Light]

Yes but in the case that I have the equation but not the parabola what can I do??

[@user-nm7ox7jp6r]

Thank you!!

[@abbking11]

omg I was the 1500 like exactly and this video was super helpful I understood it super well thanks to the video

[@filiprupnik9240]

Thank you so much.

[@Veggiestick23]

Thank you man, Sincerely.

[@Hutchza123]

sir, you save my life. I appreciate your video hahaha.

[@flaminggamer5211]

Thank you!

[@hi-il7ug]

super helpful. thank you.

[@RackracerElii]

Thank you so much

[@cheesefactory2303]

Thank you so much, you saved me man

[@shikshyaraut722]

Thankyou soo much 😢💖

[@user-dl4dg7pn7e]

Thank you broo

[@amberle1760]

THANKYOU SO MUCH!!

[@richiemanuta1972]

Thank you

[@EdanClarke-xg4ip]

I never thought I'd be using parabolas to optimize my builds in a video game, but here I am, lmao.

[@Adam-km9hs]

thank you sir

[@sophiarts2434]

THANKK YO SOO MUCH. ITS D LAST DAY OF OUR DEADLINE. AND THANKZZ TO U SIR, I FINALLY UNDETSTOOD IT.

[@andreapv5289]

Thanks man!

[@AmanSingh-fl4lh]

Helpful

[@La_Vida_es_Bella1]

Thank you! Gracias

[@butternife4577]

It might just be me but, why is his voice so stimulating?!?!?

[@MSYBESTAMEDITOR]

mans marker switching skills tho😹😹 But well explained m8🙌🏽🙌🏽

[@jaco32]

Thanks

[@thatpenguin5290]

can I use f(x) instead of y?

[@zoopi6380]

thank you!

[@-mynkz6451]

i would die for this man

[@itsmecj3940]

THANK YOU sooooo much you just helped me not be screwed on my math project🫡

[@vokechamp]

thank you very much and how could one get the focus and the directrix from an equation in vertex form

[@user-ij1hi9zz2q]

AWESOME!!!!!!!

[@astranetic801]

HE USED A BLUE PEN

[@xxade6469]

My good sir thank u so much

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this guy is straight up cooking

[@mission3479]

awesome 👍

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thank you

[@nnnnnnncccccc1209]

i'm gonna pass my exam, ToT, thank you so much 😊

[@christinezhou9385]

very nice

[@artupaysivar6884]

Damn i met this question a while ago and i used my own method which was to multiply (x+5) with (x-1) to construct the quadratic equation

[@MixChannel-gm8ri]

he taught it less than 10 minutes amazing!

[@rafaeldantas1443]

In the beginning I wasn’t understanding and in the end it seemed like I was in the beginning

[@bibyvaldez3911]

Thank youuuuuu

[@terryqokov6999]

I'm kinda confused if you don't know the number for h (x coordinate for the vertex). How would you complete the vertex formula?

[@diyasinghall]

Use the parabola formula (y-k)^2=x-h with the input your teacher gives u the h& k will be ur vertex points

[@ziyadal-abbasi6549]

thanks man got it very well

[@bigdog3628]

vertex is [-2 , 9] (v = h , k) y intercept is [0 , 5] x intercepts are [- 5 , 0] and [1 , 0] We have a "frowning" parabola. so we know that a is of a negative value So the vertex formula is y = -1(x+2)² + 9 (vertex form is y = a(x-h)² + k) The quadratic formula is y = -x² - 4x + 5 We know the a term is -1 because of the formulas x = h + √(-k/a) and x = h - √(-k/a) so lets prove it: x = -2 + √(-9/-1) negative divided by negative is positive so that means √9 which is 3 so x = -2 + 3 and x = -2 - 3. or the x intercept is the xy coordinate [1 , 0] and [-5 , 0] which is true for both cases. now prove the quadratic form: -1(x+2)(x+2) + 9. gives us -1(x² + 4x + 4) + 9 which finally is -x² - 4x -4 +9 or -x² -4x + 5 In order for there to be x intercepts the k term MUST be either the opposite sign of the a term OR k must equal 0. (otherwise you are taking the square root of a negative number. imaginary is ok for solving the equation, but it does not translate to the graph and it shows there is no x intercept) Made a couple mistakes and only caught them because I proved my equations. Always prove and show your work. If your teacher is worth their salt they will see where you are coming from and may advise you of where you messed up. Anyways it has been a long time since I've done this stuff and I only do them for fun to keep my brain sharp.

[@krysoltlaltecatl3621]

what if the graph doesn’t give you the vertex value?

[@alexgunes8957]

The best!

[@knowledgeispower6949]

Thanku

[@bahares4750]

Thank you so much 😊

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thank yew❤️❤️❤️

[@TheLoomCrafters]

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[@cudotza7301]

Man Is literally giving me 5 head math power

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Bringing me out the mud fr

[@dahpneyjung786]

Wait, my teacher said that you cannot have a negative sign of the value of a, but if it is negative sign, you need to change the sign of all value. Im so confused 😭🙏 Please answer

[@mgb2172]

if the vertex is at the origin (eg, coordinates 0,4) is 0 still h and k still 4 or does it change?