Writing Quadratic Equations from Tables

[@generalkindle3308]

You are so good at explaining things. My teacher sent me a 30 minute video for this lesson, thank you for making this!

[@thebielecmethod4884]

Thank you very much. Happy to help.

[@joshwhite5730]

That’s probably because there is different ways to do it

[@thebielecmethod4884]

@@joshwhite5730 Agreed! Most concepts have many different routes to a solution.

[@steelydanfan321]

​@@thebielecmethod4884what do I do if the second difference is not the same?

[@KittyEaton245]

@steelydan321 it's different but doesn't matter much, if the second difference is two, then a would be equal to 1 which essentially makes that part of the equation x²

[@_ratt]

Thanks so much!! I hate the way math is taught in my school. They just give you the problem and then set you free to figure it out for yourself. I don’t learn like that. Thank you so much for cutting the filler and just giving it to me straight :))

[@thebielecmethod4884]

Feel free to request videos anytime.

[@muskymango_6641]

the fact that I just learned that so quick is insane thank you so much.

[@thebielecmethod4884]

Anytime! Let me know if you ever need a video on anything else.

[@abbymyc]

this video is so helpful!! i 100% recommend everyone watch this. my teacher did not teach this at all but this was on the practice test he gave us. thank you so much!!!! it was very easy to understand :)

[@thebielecmethod4884]

Love to hear it. Feel free to request videos anytime!

[@aadihetamsaria5555]

this is insane, you make math so easy. Thank you so much!

[@thebielecmethod4884]

I really appreciate the comment. Feel free to request videos anytime. Happy to help!

[@LoveyOo]

Thank you so much for this!! I had never quite understood this concept before because no one has ever taught me a solid process, it had always been guess and check. This is simple and clear, thank you🙏

[@thebielecmethod4884]

Love to hear it and happy it helped. Thank you for the comment.

[@lilybowden7308]

Super Duper helpful coming from somebody who is struggling in algebra one I appreciate it.

[@thebielecmethod4884]

Anytime! Happy to help. Feel free to request videos on anything else you need.

[@Pizzaisgame]

My teacher has been dragging this lesson on for about 3 classes. Using unnecessary blocks and images, instead of teaching us on how to actually put them into an equation and using them. Thank you Sir, for teaching me on how to put these into equations in about a minute🙏🙏🙏

[@thebielecmethod4884]

Come back and request videos anytime. Happy to help!

[@Pizzaisgame]

@@thebielecmethod4884 Sure will👍

[@malielanijoy]

Thank you so much! The other person I watched had us making a system of 3 equations from 3 points, and it just took so long. This was very straightforward and helpful!

[@thebielecmethod4884]

Glad it helped! If the x values aren’t increasing consistently then you would need to make a system of 3 to solve for a, b, and c. When your given simple values like this, it’s a much quicker method.

[@malielanijoy]

@@thebielecmethod4884 ohhhhh, I see. Then I guess it's good to know how to do it that way too. Thank you!

[@theblakmaamba]

Thank you for taking the time to make this relatable to a freshman!! I couldn't do it without your videos!

[@thebielecmethod4884]

Oh man, thank you so much for this comment. I do this for that exact reason. I appreciate the support. Don’t ever hesitate to request any videos.

[@Zackzether]

Thank you so much. I was having a hard time understanding this concept but then I watched your video and get it. Thanks for saving my grades lol

[@thebielecmethod4884]

Happy to help!

[@BorrelTheBarrel]

thanks man, you explained this so much better than my teacher did

[@thebielecmethod4884]

Happy to help!

[@saanvisonawane6319]

Thank you so much! You explain this so much better than my math teacher

[@thebielecmethod4884]

Happy to help!

[@fannybernal6924]

Perfect explanation, simple and very good. Thank you!

[@thebielecmethod4884]

Happy to help!

[@yamiletteesmerio4630]

I’m taking a test tomorrow and my teacher doesn’t explain it well, I did not understand it until now. Thank you so much!!!

[@thebielecmethod4884]

Happy to help! Good luck on the test.

[@AddyReed.Youtube]

You are an amazing teacher, thank you so much!

[@thebielecmethod4884]

Thank you very much! Happy to help.

[@lukej4754]

thank you so much. I couldnt understand it the first time so i came here and understood it so much better😅

[@thebielecmethod4884]

Awesome!!! So happy that this helped you out. Keep coming back and feel free to request videos if you need help.

[@unicadevera7070]

Thank you so much for this! I was able to learn it so quickly and easily!

[@thebielecmethod4884]

Happy to help!

[@simonurrego94]

You just saved my life 🙏

[@thebielecmethod4884]

Happy to help

[@LidiaOrdoñez-y7s]

This makes so much sense! But quick question should this work (specifically the how to find the “a” rule) even if the x on the table has a difference of 2s? Like the x: 0,2,4,6,8 and y: -3,-3,5,21, 45? Should a be 4?

[@mrturtlesoslow8029]

Thanks didn’t know what was going on in math this really helped me

[@thebielecmethod4884]

So happy to hear that! Feel free to request videos and thank you for the support.

[@MalnourishedOpinions]

Haha, I thought this didnt work but I forgot to multiply my B value by the X value, so now it does work!

[@thebielecmethod4884]

Nice work!!! Good mathematicians always go back and double check!

[@jennysmith7611]

what if you do not have the C value in the table? Is there a way to estimate the zero term?

[@thebielecmethod4884]

kzbin.info/www/bejne/nWexpGZ_iM-Ggbc Hope this helps. If not just tell me the problem and I’ll make a video explaining.

[@eggo8101]

Thx bruh my teacher goes wayy too fast in school and this just made it so much easier

[@thebielecmethod4884]

happy to hear it helped!!!

[@Jeefffツ]

Hello there math friend. Thanks for sharing your knowledge with us. What would you do to the term C if you hadn't the x-intercept?

[@thebielecmethod4884]

Did you mean a y-intercept? Here is another video where you do not have a zero for x. kzbin.info/www/bejne/nWexpGZ_iM-Ggbc There are many other ways, and I can make more videos if needed.

[@ericanolastname7768]

thanks for the tips! very much underrated

[@thebielecmethod4884]

Thanks for the support!

[@vee9135]

Thank you for the easy explanation!! Idk why math teachers complicate the wording!

[@thebielecmethod4884]

Anytime! Happy to help

[@yordyabreu6425]

Your amazing buddy.

[@thebielecmethod4884]

Thank you very much. Feel free to request videos.

[@noelles27]

Thank you, this video is so helpful!! But what do I do if my set of numbers for the 2nd difference aren't all the same?

[@thebielecmethod4884]

This would mean you are not dealing with a quadratic. What is your second difference giving you?

[@Oliviaschool-ty9iv]

wow this is really good thank you for providing this video:)

[@thebielecmethod4884]

Anytime! Thank you for the support.

[@makrero2262]

Thank you from Sweden!

[@thebielecmethod4884]

Love to hear that I can have an impact all the way over there. Thank you for the support!

[@Legendarygamer-p3u]

Thank you very much now I can do good on my test but are their any other ways to do this

[@thebielecmethod4884]

Yes there are multiple ways of doing this. Methods should change depending on the values given. If I’m not given (0, ) I would write a 3 equation system to solve.

[@josiahpace6906]

Thank you so much! Super easy to understand!!

[@thebielecmethod4884]

Happy to help. Feel free to request videos in the future.

[@legnaaracil8921]

Thank you for the simple explanation! 😁

[@thebielecmethod4884]

Anytime! Thanks for the support

[@yeudsiegal5285]

What about when the table offers sporadic numbers even after the second difference?

[@thebielecmethod4884]

Are you sure your dealing with a quadratic?

[@NGUYÊNLUYỆNĐỨC-w4m]

why u have the a= 2nd diference divided by 2??? im just start studying university before the official class so i hope i explain it for me thank you very much

[@thebielecmethod4884]

We half the 2nd difference an^2+bn+c first four terms in a sequence of 1,2,3,4 produce a 2nd difference of 2a. By dividing by 2 we have now isolated the value of “a”. I will make a video explaining this and showing it as a proof.

[@mainlyava]

can u please do how to make a table if you have the vertex and axis of symmetry?

[@thebielecmethod4884]

Absolutely! I’m away on vacation, but can post it on Monday for you. Hope that works.

[@ginaserrano1594]

Does this work if my f(x) or y is in form of creating a parabola? This is written at y's: 13, 16, 17, 16, 13. In that same order.

[@thebielecmethod4884]

It sure does! Second difference in this case is -2

[@jennysmith7611]

Thank you! this video is so helpful!

[@thebielecmethod4884]

Happy to help! Feel free to request videos anytime!

[@ronak8694]

literally amazing !!!

[@thebielecmethod4884]

Thank you for the support!

[@heart4calloway]

i literally love you

[@thebielecmethod4884]

Thank you. Hope the videos are helping!

[@dhamindu-rv3ee]

Thanks for brother ❤

[@thebielecmethod4884]

Anytime! Happy to help!

[@david-gm6cp]

How would you find the Corresponding Y value and what’s the rule/formula for them?

[@thebielecmethod4884]

Once you have the equation written out, you replace the x’s with whatever given value you have, then simplify the quadratic down to y= (whatever number you end with) Example: find corresponding y value for x=3 in y=2x^2+4x+3 You now have y=2(3)^2+4(3)+3 18+12+3 Y=33 If this doesn’t help I can make a video showing an example for you. Thanks for the support.

[@Mosh0014]

When finding the a, what if the second different is inconsistent?

[@thebielecmethod4884]

If x values are increasing by 1 the 2nd difference will always be consistent. In the case that it’s not you are dealing with something other than a quadratic.

[@PamelaKepley]

to find b easier, a+b= 1st difference (only works when you have the first difference between x=0 and x=1)

[@skylaskyla3]

How come you put 1/2 instead of just 1 for A?

[@thebielecmethod4884]

Great question! Always take the second difference you find and cut it in half. For example: if your 2nd difference is 4 then your "a" would end up being 4/2, which is just 2. Let me know if this helps.

[@skylaskyla3]

@@thebielecmethod4884 Thank you!!

[@thebielecmethod4884]

Anytime!

[@samanyugowda1739]

If the x-value on the tables increase by increments other than 1, can the same rule be applied for finding "a"?

[@thebielecmethod4884]

Yes the same rule applies as long as the x values increase is constant.

[@macdaddy2626]

How would u find a if your x values aren’t in sequential order in the table such as {0,2,3,6,10}

[@thebielecmethod4884]

In this scenario you need to set up 3 equations with variables typically being a, b, c. You then solve a system of 3 equations using elimination or substitution method. I can fill a video of this if you’d like me to post one this week for you.

[@astiivex]

​@@thebielecmethod4884yeah pleade

[@GeneralMochi]

Thank you so much!

[@thebielecmethod4884]

Anytime! Happy to help

[@EnroyChitare]

yuo make it like maths is easy thank you so much😍🤩😝

[@thebielecmethod4884]

Anytime!

[@StephanieNevels]

What a great video! My only question is....doesn't a have to be greater than or equal to zero?

[@thebielecmethod4884]

The a term can be both positive and negative.

[@John_Rais]

What if the lowest x value is 1 in the table? How do you determine c?

[@thebielecmethod4884]

Your second difference is constant so just work the x value back following that pattern until you get to x=0. I can make a video next week for you and send a link.

[@thebielecmethod4884]

kzbin.info/www/bejne/nWexpGZ_iM-Ggbc Here is a link to the video I made showing you an example of what I was explaining. I hope this helps. Thanks for the support!

[@mamingakuri2436]

thanks so much mate from NZ

[@thebielecmethod4884]

New Zealand! I love it! Very happy to help. You live in the most beautiful land in the world in my opinion.

[@mamingakuri2436]

@@thebielecmethod4884 cheers, just had the exam, and this video certainly came in handy.

[@thebielecmethod4884]

@@mamingakuri2436 So happy to hear that! feel free to request videos anytime. I try my best to upload when I can find the time to help out. Congrats on completing the exam!

[@hdhdhd-pv6yo]

Hey you’ve helped me a lot! can you do a video on prime factoring?

[@thebielecmethod4884]

Absolutely! Thanks for the support. Happy to help. I won’t be back at the school until Monday however so I hope that’s ok. I’ll send you a link when I upload it.

[@hdhdhd-pv6yo]

@@thebielecmethod4884 Thank you so much!!

[@thebielecmethod4884]

@hdhdhd-pv6yo anytime!

[@thebielecmethod4884]

kzbin.info/www/bejne/bJfdh39ugdWmhsksi=F8yHRydJT4ObAtqP This should help you through Prime Factoring. Let me know if you need anything else.

[@Dilip12213]

what do I do if the x values do not go up by one?

[@thebielecmethod4884]

Usually the best way to go about this would be to create 3 separate equations with replacing the x and y’s in each of the 3 with the values provided. For example (2,8) when replaced with y=ax^2+bx+c, would be 8=a(2)^2+b(2)+c. This would then simplify to 8=4a+2b+c. Once you have the 3 different equations you will solve the system of 3 equations with 3 variables. This will give you the a,b and c values for the quadratic. I’d make a video but I’m on vacation until Saturday. If you still want a video, let me know and I’ll film it when I get back home. Thanks for the question and I hope this helps.

[@Dilip12213]

@@thebielecmethod4884 ya sure, I would love the video. I tried looking all over youtube for a video that explained what to do if the x values did not go up by 1 and I couldnt find any. Have a blessed day and thank you for actually replying to my comment :)

[@thebielecmethod4884]

Happy to help. I’ll shoot you the link once I get back and post it.

[@Dilip12213]

@@thebielecmethod4884 ok thanks

[@astiivex]

amazing, can you make a video about graphing a quadratic equation

[@thebielecmethod4884]

No doubt! kzbin.info/www/bejne/bXOkmaytqp51pqMsi=mGWZVWns0hsK6Suj Here is a link to an old video that introduces vocabulary of quadratics and I will do my best to get a video uploaded for you this week about graphing them. This video will help you understand what parts you’ll want to find first.

[@Stevehnce]

SO this equation doesn't work if there is no second difference?

[@thebielecmethod4884]

If the x values are increasing by 1 then it should have a 2nd difference. If it does not have a 2nd difference, then it is not a quadratic.

[@Stevehnce]

@@thebielecmethod4884 Right, thanks!

[@gracec1124]

What if there is no zero term for c in the table of values?

[@thebielecmethod4884]

Sometimes you can work backward towards zero.

[@samsondhar]

tanks bro dis help me on me math quis😁😁

[@thebielecmethod4884]

Happy to help! Request videos anytime!

[@mohammadmahrous]

what if you don't have the zero term?

[@thebielecmethod4884]

Writing Quadratic Equations from Tables Without 0 for X kzbin.info/www/bejne/nWexpGZ_iM-Ggbc

[@mohammadmahrous]

zero still on a step , I have case that zero is amoung numbers and not a regular step, also I had applied this method and a didn't come right @@thebielecmethod4884

[@Yummyapplechips]

Off topic, I couldn’t concentrate because you were too handsome 😭

[@imanimwayongile9366]

How to get 'c'when x is not zero?

[@thebielecmethod4884]

I will make a video for you on this sometime this week. You will need at least 3 points, none of which need to have x =0

[@diegocruz7919]

@@thebielecmethod4884 did you ever make that video? I also need to find C when I dont have the value of X=0

[@kylierauch8636]

what if the 2nd difference isn't all equal

[@thebielecmethod4884]

That means it isn’t a quadratic function.

[@samrecalgna]

Thank you!

[@thebielecmethod4884]

Anytime!

[@Kimdontknow]

i just realized i got the answer but it wasn't in the choices💀

[@thebielecmethod4884]

In what choices?

[@Kimdontknow]

@@thebielecmethod4884 on the activity that my teacher gave us. But i got the answer now.

[@joshwhite5730]

For some reason I am learning this in Algebra 1

[@thebielecmethod4884]

It is also taught in Algebra 1, but we go more in depth when in Algebra 2.

[@sinayasharabi8302]

Thank you.

[@thebielecmethod4884]

Anytime!

[@FireRobin]

thanks!

[@thebielecmethod4884]

Anytime!

[@belltacco1568]

[@thebielecmethod4884]

Thanks for the support!

[@njikengvalery9611]

what if the starting point is 0,0

[@thebielecmethod4884]

Great question! The c value would be zero. So in the equation you would only have 2 terms on the right side of equal sign instead of 3. The ax^2+bx

[@mohammadmahrous]

didn't work with me in an example

[@thebielecmethod4884]

Send me the x and y values your dealing with and I’ll make a video with another method of getting it

[@phenomenal_90]

goated

[@thebielecmethod4884]

Oh snap!

[@funsizegenius1764]

flvs is failing me thank you kindly

[@thebielecmethod4884]

Oh man I hate hearing that. Hopefully my channel can get you back on track. Please request any videos you need for support.

[@muzhdaannajoya2577]

do u own a cat??

[@thebielecmethod4884]

I do not.

[@tester1991]

elite

[@thebielecmethod4884]

Thank you very much!

[@LidiaOrdoñez-y7s]

This makes so much sense! But quick question should this work (specifically the how to find the “a” rule) even if the x on the table has a difference of 2s? Like the x: 0,2,4,6,8 and y: -3,-3,5,21, 45? Should a be 4?