Graph Quadratic Equations without a Calculator - Step-By-Step Approach

[@etana6768]

Oh my gosh, I’ve been struggling with this and my teacher doesn’t explain it well. This guy is a good teacher👍

[@PreMath]

Thank you so much Neta for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@etana6768]

@@issacwesley3599 lol y’all r funny

[@nishasinghchauhan6395]

Naruto fan

[@azrulshah8596]

😊

[@nzazimakwele284]

Learnt it like drinking water 😂😂 watching from Zambia

[@nicoleraheem1195]

This is the best video I've found on this: simple and straight to the point.

[@promisegamps9121]

Before you ,I was striving with this. All your teaching is always crystal clear

[@clloydmathison995]

I like your videos, you are slow, methodical, and very thorough, and that makes grasping the content good for slow learners like yours truly. Thanks.

[@PreMath]

You are very welcome Mathison! You are awesome 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃

[@kuzufey]

the way he says how much is so cute LMAO, *humuch*

[@Mari.3]

ikr LOL

[@irfanhussain2207]

Yeah I didn't pay attention🤣🤣🤣

[@christinesudan9399]

Bro after 2 days and this genius shows up lifesaver you literally cleared my brain🤓

[@PreMath]

Glad to hear that Christine! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@AnkitKumar-sl5bh]

Where are you from

[@HenrietaVibes]

Who's still watching this in 2024 its helping me

[@Alizanoor527]

Me

[@Hidugaming1]

Me🎉🎉

[@SPSP6]

Thank you so much After watching the video i am ready to solve my paper. You are a great teacher.

[@noapology88]

Great video - finally someone ties all the elements of graphing quadratic equations in standard form. Thank you.

[@PreMath]

Thank you so much! Please keep supporting my channel. Kind regards 😀

[@MalikShahid-g8r]

unbelievable. I understand it throughly. thanks for this video

[@SPSP6]

Yeah me too

[@RWELITE.1]

Thank u I'm in online school and it was hard to understand, now I understand it

[@PreMath]

You are very welcome! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@martinbarbaran5723]

Your explanation about solving quadratic equations was so clear and easy to understand..now, I am ready to teach my daughters..thanks so much...

[@PreMath]

You're very welcome, Martin. Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Sorry for the late response. Best regards :)

[@linabennani1726]

this is so wholesome

[@kilaeae6791]

Your explanation was so clear and understandable.you are a such a better teacher

[@beenishkhuram7600]

Can you explain quadratics expression in new videos

[@vanshikatal]

I actually learned something in this, thanks!

[@PreMath]

You're very welcome! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Kind regards :)

[@runningworld2.019]

Amazing explaination 🎉🎉 Good job

[@R475Entertainment]

To be honest, I really love the way you explain it step by step! now I can solve quadratic equations by heart. Keep up the good work🙏❤️ greetings from PNG🇵🇬

[@cristinegregorio5189]

Thank you for this video. I was having a hard time with this and it really helps me better understand our lesson.

[@PreMath]

You are very welcome Cristine! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@AnkitKumar-sl5bh]

Hello dear where are you from?

[@DeepakKumar-in2fi]

I am from India and I clearly understand your concept and language

[@alemdamte4504]

Your the best teacher thanks to tech me this lesson 😁

[@МагжанБолатов-б4г]

oh my god, thank you, i couldn't understand it 2 weeks but understanded it in just 14 minutes, thank you very much

[@bigdog3628]

Original equation is y = 2x² -4x -1. This is standard quadratic form where y = ax² + bx + c We want it in vertex form which is y = a(x-h)² + k. h is obtained with the formula h = 1/2(-b/a) the k is obtained with the formula k = -a(h)² + c. h = 1/2(4/2) which is 1 k = -2(1)² - 1 which is -2 * 1 - 1 or -3 y = 2(x-1)² - 3 We now have the xy coordinate of the vertex which is [1 , -3] the xy coordinate of the y intercept is always the c value. [this can be any real number] which is [0 , -1] Now we need to find the x intercepts [ Note: If the k value is the opposite sign of the a value there should be two x points on the x axis where the parabola is formed] x = h + √(-k/a) and x = h - √(-k/a) [the √ symbol applies to both the k and a terms] x = 1 + √(3/2) and x = 1 - √(3/2) Irrational denominators we must multiply √3 * √2 and √2 * √2 This gives us : x = 1 + (√6) / 2 and x = 1 - (√6) / 2 So the x intercepts are [1 + (√6) / 2 , ] and [1 - (√6) / 2]. or [-0.22474487139 , 0] and [2.22474487139 , 0] (If not obvious these are two sets of xy coordinates which is why the y part is 0) Finally since the a term is positive it is an "Up wards" parabola. Quadratic formula is very clunky and isn't needed if you are working with the vertex form. The hardest part of this specific problem is converting the x intercepts to decimal form.

[@parsasoltani3289]

you are a lifesaver 😘

[@Diariis]

Thank u for taking your time Sir! 😊

[@PreMath]

You're very welcome Atangabua Malia Anitoh! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Take care dear 😃

[@juvenilejake9130]

Thanks for blessing us with the way you pronounce formula 7:50

[@therealliyahxo]

You deserve teacher of the year Thank you so much 😝❤️

[@PreMath]

You are very welcome Aliyaha! You are so generous. I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃 Have a very happy and blessed New Year!

[@ShivaAgnihotry]

You teach so good. I like your teaching. I want to be like you . You read as someone read from PW. The way of your teaching is so good.

[@abrahamli7789]

who is watching this before their math test lol. THIS HELPED ME SO MUCHHH. I GOT A 90% SO HELPFUL

[@kimalalepatu8746]

Thank you. One of the best explanations I had in months. Hats off for you sir .✔💯

[@PreMath]

You are very welcome Kimala! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@lalalavigne2188]

This is one of easiest to follow videos I have seen

[@gabriellemueller9459]

Best teacher I've had in 63 years of studying.

[@AdvitaSingh-wn6ox]

Thank you so much for this video! I've was confused about this topic for a bit, but your video explained everything so clearly.

[@elishaterry1982]

Wow this explanation is so easy..thank you very much..

[@PreMath]

Glad you think so! Thanks for your feedback! Cheers! You are awesome, Terry. Keep it up 👍 Love and prayers from the USA! 😀 Stay blessed 😀

[@GDCyberHehe]

ur video made it clearer for me to understand thank you other videos are too confusing

[@PreMath]

Glad it helped! Thanks dear for the visit! You are awesome 👍 Take care dear and stay blessed😃 Kind regard

[@GDCyberHehe]

@@PreMath btw it is kinda weird but i am in 4th grade and i am learning this LOL my self just for fun this type of math is not school work or anything

[@PreMath]

@@GDCyberHehe Wow. That's incredible 😀

[@GDCyberHehe]

@@PreMath ya ikr XD

[@krish8649]

Excellent ! . Explained so so well. Thankful to you sir.👌

[@rafayeal2953]

Free University indeed, Thanks teacher

[@rocky-zx6kq]

Me:uses this equation My teacher:You dare oppose me mortal

[@poojiarmy3383]

🤣🤣🤣

[@anniecoleman6239]

Wonderful video. This is the best explanation, yet.

[@sheuluk8416]

Thank so much your explanation was so clearly and interested

[@Loganscarz]

Thank you for the help this really helped me a lot in Algebra. I had no idea what an axis of symmetry was so yeah.

[@darpan6882]

Such a great explanation ♥️

[@nokidelaila2555]

Amazing..... indeed excellent

[@thecatman9o9]

that explaination is super awesome sirr!!!

[@vladimirdanndy7908]

ITS REALLY HELPFUL ITS EASY TO UNDERSTAND HIS EXPLNATION

[@PreMath]

So nice of you Vladimir! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃 Have a very happy and blessed New Year!

[@GibbyApoyo]

Thanks so much from Papua New Guinea for your explanation .You just helped me to complete my assignment ❤❤

[@motivationalclipscollectio3478]

Thanku sir for your great help i have understood it easly and quickly

[@bellagelinggie9645]

glad i found this channel. tqsm

[@hybridshorts9278]

Thank you sir it's really helpful for me.

[@PreMath]

You are very welcome Prachi! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@qno-oj3py]

Excellent, only minor remark is I can not distinguish a and 2 sometimes. Can you please write the cypher '2' a bit different so I can see the difference with the letter 'a' better. Thank you in advance.

[@InnocentKaliyangile]

This is very helpful thank you very much sir God bless

[@PreMath]

You are welcome Thanks for your feedback! Cheers! 😀 You are awesome. Keep it up 👍

[@joydutta641]

Really excellent representation 👌

[@fatimaalali4129]

Wow !!!!! your explanation is very clear

[@PreMath]

Glad to hear that Fatima! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@duwiastt]

thanks for your nice step by step explanation

[@amiramousa7581]

Thank you so much, I’m comfortable to write my test after this lesson.

[@PreMath]

Thank you so much! Please keep supporting my channel. Kind regards 😀

[@justguess8839]

@Jonathan Melaku why so o.o

[@spider-mancantsee5875]

Jonathan Melaku or they didn’t get taught so well? So they came here like any other students would

[@melody5680]

Thank you Sir! This was a great lesson and teaching

[@PreMath]

You are very welcome! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@williambunter3311]

Wonderful, Sir. You make maths exciting! God bless you. To me, you are always the Sherlock Holmes of mathematics!

[@tylerdurden3987]

Sherlock Holmes is a detective. How is this guy like a detective?

[@williambunter3311]

@@tylerdurden3987 Because, like Sherlock Holmes, he puts together bits of information and reaches the solution. Are you just having a bad day durden, or are you so thick you can't see this for yourself? You clearly lack the intelligence to be good at maths or at anything that requires a little bit of logic. Have a nice day!

[@ruthvikbomminayuni5061]

Thanks for the explanation🎉. It was very easy to understand.

[@deeptuber4297]

Thanks for clearing my concept...

[@vedraut6568]

Thankyou so much sir very nice teaching

[@PreMath]

You are very welcome Ved! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@jordankilborne980]

Omg I’ve been trying to figure out my questions for the past 2 hours and you just saved my life thank you so much!! I get it now!! 🙏

[@musiclover7607]

Described smoothly☺️

[@ShivaAgnihotry]

By seeing you, even, I have to teach someone. You are God for students like me . By heart , I can't say something. Everyone want to you to have their read.

[@sofiaaddad1298]

Thanks for the vid. But don't we have to firstly calculate the ∆ which tells us if there's a solution or not ?

[@xジク]

Thank you so much! Your explanation is way better than my maths sir as he goes through everything quite fast and its hard to understand but you go through it slowly and its like your making sure that we understand so thank you🥺

[@PreMath]

You are very welcome! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@xジク]

@@PreMath thank you sir😊

[@hemanthlakkoju5943]

I have a dought question is Plot the graph of equation y=x²-3x

[@bagumbayangap9332]

sir, how did it become 4.9? over 4, I didn't understand that part sir, thank you for paying attention to my comment, and it's great to teach clearly.

[@maabahmed3724]

Omg ,you made everything supper easy , thank you ❤️❤️

[@PreMath]

You are very welcome Maab! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Have a very happy and blessed New Year! Keep smiling😊

[@naveensingh5787]

anyone know y=x^2 and y=-x^2+4, i thought when we reverse the sign of x it reflects in y-axis , but why this graph is reflecting in x-axis?, kindly clarify

[@hannahisabelle6629]

can I ask how to find the domain and range? thanks

[@bravejei4559]

Wow this is so Amazing .Thank you sir

[@PreMath]

Most welcome Jei dear You are awesome. Keep it up dear 😃

[@ronaldjohnson4470]

Sir, you are the best. Thank you.

[@crustyoldfart]

2*x^2 - 4*x - 1 = 0 : a = 2 , b = -4, c = -1 ; c/a = -1/2: m = -b/(2*a) = 1: m^2 - d^2 = c/a; d = sqrt( m^2 - c/a ) ) = sqrt( 1+ 1/2 ) =sqrt( 3/2 ); Roots are ( m - d ) and ( m +d ) Easy to verify that R1+R2 = 2*m and R1*R2 = (m - d )*( m + d ) = m^2 - d^2 R1 = m - d = ( 1 - sqrt( 3/2 ) and R2 := ( 1 + sqrt( 3/2 ). For vertex : xV = m = 1 ; yV := f( a,b,c,xV) = f( a,b,c,1) = a + b + c = -3; And this will work for cases where a,b,c are real numbers which include integers [ as here ], rational numbers, prime numbers even irrational numbers. In view of this canonical method I've always wondered why simple quadratics are such a popular topic in even elementary algebra.

[@PreMath]

Thanks a lot Harold for such an awesome feedback! Stay blessed and healthy my friend😃 Very happy new year

[@m7.h226]

Thank you so much ❤️❤️🥺

[@PreMath]

You are very welcome! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@Ishfaquehusen]

Love you sir great work ❤❤❤❤❤

[@jahongirtolqinboyev4021]

Thanks! My teacher explained it 3 or 4 times but I didn't understand. But you explained it just 1 time and I understand. Today I have assessment from it. I'm so happy!!!

[@PreMath]

You are very welcome Jahongir! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@sirdrew6233]

What happen if the graph does not intersect with the y and x axis? How to graph the equation?

[@PreMath]

dear Andrew, the graph will always intersect at any point on y-axis. However, it it doesn't intersect x-axis, then NO real solutions! Thanks for asking😀 Take care dear and all the best😃 Have a very happy and blessed New Year!

[@beehuo22]

We can also use the test point method which is much shorter

[@rozinaismailqureshi6132]

Thanks, good teaching😊

[@gombotaratso6154]

Thanks sir I like the way you teaching steps wise which is really helpful and easy to capture the concepts 😊

[@kartikeyanchelladurai7210]

THANK YOU SIR🙏PLS Give me link of your SIMULTANEOUS EQUATION VIDEOS 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏😁😁😁😁

[@leyyyia6707]

the way he says “how much” is so precious omg😭

[@vanessawelles4760]

Hi again...Could you do a video on Graphing a quadratic equation that has Imaginary roots/soluitions? y=6x^2-7+8 for example.and discuss graph difference from one with real roots. Thanks.

[@PreMath]

Hi Vanessa Welles, I'll do that pretty soon. Thanks for asking.

[@kathitpatel5704]

Your explanation is very nice did you take personal tution??

[@luckstudity9083]

Complex but crystal clear.

[@bigdog3628]

look at my comment above, I just posted it before posting this. I find the quadratic formula very clunky and hard to remember. I used a dumbed down alternative to it.

[@nadapetropoljac7975]

thank you so much, fantastic explanatiin

[@manyunsamukosayi2814]

Awesome explanations ✌️

[@Prometheusaurus]

Thank you, this was very helpful and educational! ^^

[@PreMath]

You are very welcome Ren! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@Prometheusaurus]

PreMath thank you. I wish the best for you as well, and ai will share this to my friends.

[@cdon3032]

How did you get the -3?

[@chrisy367]

Replace the x value you got with -b/2a in the original polynomial

[@whitelegendssupport1383]

Thanks sir this was really helpful

[@adityamohajansuper9403]

Sir i am doing another math and my vertex came 2.5,44 is it ok?

[@MimixLight]

Very helpful! Thank you so much!

[@PreMath]

You are very welcome dear! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@jamidmaulana7884]

What is the table of values of x and y bro

[@Sigma-lr9jk]

No one taught me like that❤❤

[@PreMath]

Thanks dear. You are the best!

[@gulayabbasli4398]

hello, I think that you've made mistake in finding x intercept's value in the way of calculating them

[@bigdog3628]

yep he did.

[@everykindavdo]

Indeed you are an amazing teacher.. explained it perfectly!✨ Good bless you! 😇

[@PreMath]

Glad to hear that Aiman Beti! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and stay blessed😃 Keep smiling😊

[@everykindavdo]

@@PreMath yeah sure Thank you

[@onlystudies6050]

Sir keep it up 🙂 even living is US you are helping us 🙂☺️ keep growing and stay happy 😁❤️

[@tylerdurden3987]

U ain't from US stop lying

[@user-ky6yr4tu3w]

Thank you for the great video sir!

[@k.gomani1510]

BEST TUTORIAL EVER1

[@PreMath]

You are very welcome Kuminyanga Gomani ! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep sharing my channel with your family and friends. Take care dear and stay safe😃

[@anilsharma-ev2my]

How we know about the area and length of curve between its solution ?

[@thunderkillnick5265]

Helped a lot thanks man

[@PreMath]

Glad to hear that! I'm sure you are an awesome student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃

[@iliveinsideyourhouse3943]

I don't have the IQ to memorize this

[@midariikshima2442]

Lamo same

[@GDCyberHehe]

i do i am a nerd LOL

[@iliveinsideyourhouse3943]

@@GDCyberHehe Good for you. It's very hard to live with low IQ, but it's just life.

[@GDCyberHehe]

@@iliveinsideyourhouse3943 i know it is very hard

[@pazatek]

Very good tutorial thank you!

[@PreMath]

You are very welcome Paz! I'm sure you are a brilliant and bright student 👍 I'm glad you liked it! Please keep sharing my channel with your family and friends. Take care dear and all the best😃