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

Learn how to graph Quadratic Equations without using a calculator. Learn how to find the Vertex, Axis of Symmetry, x-intercept, y-intercept, and graph a parabola with its quadratic equation in Standard Form (y = 2x^2 - 4x - 1).

[@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

[@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😃

[@juvenilejake9130]

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

[@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😃

[@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

[@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.

[@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 😀

[@nokidelaila2555]

Amazing..... indeed excellent

[@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!

[@rafayeal2953]

Free University indeed, Thanks teacher

[@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😊

[@DeepakKumar-in2fi]

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

[@luka-nc4qw]

uhhhhhhhhh wth how does that have anything to do with the video??????

[@bellagelinggie9645]

glad i found this channel. tqsm

[@gombotaratso6154]

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

[@thecatman9o9]

that explaination is super awesome sirr!!!

[@bravejei4559]

Wow this is so Amazing .Thank you sir

[@PreMath]

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

[@rozinaismailqureshi6132]

Thanks, good teaching😊

[@deeptuber4297]

Thanks for clearing my concept...

[@hannahisabelle6629]

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

[@laurachen2456]

What are you selling? What about storage space ?

[@MzinendodaGodfreyNdlovu]

Thanks now i do understand

[@ramonfrancisdoromal2010]

Thanks!!!This helped me in advance

[@PreMath]

You are very welcome Ramon! 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😃

[@anitamekap6584]

Why did you put y = b/2a ??

[@Average_Explosion_Enthusiast]

Thanks I appreciate the vid!!😺

[@poojapriyanshi1724]

😊very gm sir 😊

[@VijayalaxmiTeegala]

Good

[@wonucantseewithouthisglasses]

"sTAndard fArm" lmao cutie

[@ripleg9nd614]

Thank you

[@Slyvia041]

Thanks It is clear and easy To understand！

[@PreMath]

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

[@kuzufey]

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

[@Mari.3]

ikr LOL

[@irfanhussain2207]

Yeah I didn't pay attention🤣🤣🤣

[@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

[@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

[@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

[@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😃

[@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?

[@vanshikat7330]

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 :)

[@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😃

[@rocky-zx6kq]

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

[@poojiarmy3383]

🤣🤣🤣

[@GwPhantomofficial99]

Sir , I am watching this video before 30 min of my exam

[@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

[@Bibletimewithsam]

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 😃

[@firingallcylinders2949]

Math sucks so hard, this is such pointless crap. Good explanation but Idk why I even have to do this.

[@iliveinsideyourhouse3943]

Agreed. Bullshit ass subject that only makes me hates it more even after I learnt a lots about it.

[@kartikeyanchelladurai7210]

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

[@HenrietaBuma]

Who's still watching this in 2024 its helping me

[@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 😀

[@tatimato]

thankyouuuu

[@PreMath]

You are very welcome Rose! 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😃

[@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

[@nicoleraheem1195]

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

[@hemanthlakkoju5943]

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

[@royalduberoonie]

Bro he sounds like my dentist “open up”

[@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😃

[@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.

[@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.

[@angel.6920]

Guys for y=2(1)^2 - 4(1)-1 How did u get 2(1) -4-1 Im generously confused about this part are you meant to do 1x2 or 2x2 then plug it in

[@adityamohajansuper9403]

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

[@nishasinghchauhan6395]

I can't understand

[@gpuklo784]

Same... But i asked my dad and we had to stay for 2 hours to understand. If you don't its fine... No one is perfect 😊

[@-ScrollToWin-]

@@nishasinghchauhan6395 skill issue

[@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.

[@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😊

[@montesorff407]

Iam having too much problem. To understand

[@parsasoltani3289]

you are a lifesaver 😘

[@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🇵🇬

[@runningworld2.019]

Amazing explaination 🎉🎉 Good job

[@joshchatterjee2192]

Great explanation

[@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!! 🙏

[@promisegamps9121]

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

[@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!

[@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😃

[@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.

[@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😃

[@abrahamli7789]

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

[@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.

[@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.

[@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.

[@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.

[@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 👍

[@yeast868]

Teacher does bad job teaching Also Teacher complaining they don’t get paid enough Meanwhile this dude is teaching us all for free.

[@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😃

[@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.

[@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.

[@anilkumarsharma8901]

All the🕉️ America follow👣💗 me so it's become a better place to live with natural habitat

[@anilkumarsharma8901]

Solve the🕉️ universe🌌 How many parabola are their in 🕉️whole universe🌌🌌🌌

[@sajmilineesh4659]

What is proof x=-b÷2a

[@sofiaaddad1298]

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

[@mroliveoil]

humuch?

[@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!

[@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

[@AnkitKumar-sl5bh]

who is from india 😊

[@akshatsingh5363]

Which class question is this bcz I was searching for its solution for a long time and can't find it?

[@motivationalclipscollectio3478]

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

[@krish8649]

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

[@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.

[@PowshuArt]

Thank you❤️😍😍😍😍🙏🙏✔️💥🤘🤯😁👏🏼☑️❤️🇵🇭

[@PreMath]

You are very welcome! Take care dear and all the best😃

[@SushovanJana-oy5qg]

Quadratic polynomial with two variables graph

[@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

[@kathitpatel5704]

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

[@sheuluk8416]

Thank so much your explanation was so clearly and interested

[@pat9827]

Wrong formula, wheres the discrininant go??

[@haikalmroyyan6154]

Thanks sir.

[@samuwellz9408]

One comma negative 3 which is our....Wertex!

[@cosiejuskidding348]

Thank you so much I really appreciate you alot