Graphing Quadratic Functions (Precalculus - College Algebra 24)

[@braanchh]

Completely unrelated to this Lecture. I just found out I passed calc 2 which was the bane of my existence. I would like to give 90% of the credit to Professor Leonard. He explains everything better than the entire textbook. Not only that he has a sense of humor and cares about his students. I want to thank you for everything you have done Professor Leonard!

[@Peter_1986]

Textbooks often have this obsession of being extremely formal and extremely serious all the time, and that alone makes them hard to follow - especially if they also ramble on forever for like 10 pages before giving a single example problem. Professor Leonard is the complete opposite of that - he is much more like "alright, let's have some fun here, and let's cover the stuff that actually matters and then dive into a bunch of example problems".

[@abhijeetsatpathy3382]

Brilliant professor loved the way he teachs. Hats off. The superman of Maths.

[@watsonzaire9081]

I know I'm kinda off topic but do anyone know a good website to watch newly released movies online?

[@ignaciofrancis8806]

@Watson Zaire Try flixzone. You can find it on google :)

[@sincereace6053]

@Watson Zaire I watch on Flixzone. You can find it by googling =)

[@quirkysnake3555]

Professor Leonardo: * teaching math * 1st half of my brain: * trying to concentrate on what he's saying * other half of brain: 'how do you get your arms to be that wide' u da best at teaching math :D

[@johnbiluke8406]

I've had arms half that size at 13 but regardless, nice arms. ( Keep quiet )

[@fredavastine2922]

Lots of silicon injections

[@ricardocorrea9398]

@@johnbiluke8406 That's not that impressive lol ( im quiet)

[@magic5992]

@@fredavastine2922 dam ur stupid, try to go to the gym for a year or so, youll see major improvement, you wont get those arms jerking off, lmao

[@ИринаНазарова-л6з]

@@fredavastine2922 lolll, you clearly have never been to the gym

[@mashable8759]

Best teacher in the whole world. A true SUPERMAN

[@georgesadler7830]

Professor Leonard thank you for a monster explanation of Graphing Quadratic Functions using the vertex, x intercepts, y intercepts, factoring and the old Quadratic Formula.

[@vinayverma2578]

You are the best math teacher one can ever have. Thank you prof...Thank you for everything. 🙏

[@Devayearsago]

Professor you’re a lifesaver thank you 🙏🏻

[@Fjfcjcfjfjccjcjjkf]

Professor Leonard had his gym sessions and suddenly he realized he has to take Maths class. He comes to class and nails the lecture like a walk in the park...🙏🙏🙏

[@chericha]

Hands down the best math teacher on internet.

[@kuanliu4253]

really great video, it helped me a lot. thank you so much professor Leonard

[@zacharykahn8134]

Dude your jacked and your smart. Thank you so much!

[@pinklady7184]

I am watching lots of maths tutorials during lockdown. Thanks for this video.

[@deepinderpalsinghdhillon5943]

Thankx Professor these videos are helping me a lot

[@AyisatLawalShittu]

I’m sick right now but I love watching him teach math

[@guidofeliz8384]

Anxiously waiting for Linear Algebra and beyond.

[@angajasonr.2422]

Thank you sir

[@siennafalls]

Thank you, Professor Leonard!

[@1Vice876]

Professor Leonard 🐐 GOAT

[@falakzaki284]

Any idea when trigonometry section is gonna start?

[@familypers0n123]

it already started

[@mohammedamansalih9123]

Thank u so much leo

[@kingrenny]

I am all over this :). Can't wait for the trig one's!

[@sharyarkhan690]

Great profesor ever ♥️

[@pump-kin]

He’s smarter AND hotter than my current math teacher! Very useful!

[@uzzyhaxxan9279]

Sir You are The best ♥️

[@veronicasester4136]

when is the linear algebra segment coming up??

[@aryapramanda8163]

Thank you very much professor leonard .. the explanation is very easy to understand greetings from indonesia university

[@TheThorRs]

engaging teacher,

[@mekusha-graphics-mekushat6493]

the best teacher ever

[@agh1750]

will you ever be doing a linear algebra series?

[@studyhome895]

Thank you professor leonard I am in class 9 and it Helped me a lot

[@franciseylim11]

It almost a month, and you haven’t upload new videos of Precalculus. 🤧😭

[@ricardocorrea9398]

Series is now completed!!

[@techzoneplus]

Thanks for helping me to find my Vertex

[@lovessorrow948]

5:55 correct one is not 2a it must be 4a square

[@classclownbeautyqueen4791]

You are amazing. Can you do a video on synthetic division? :-( I love the way you teach. It makes sense. Before, all of this intimidated me and made me feel stupid. Thank you for everything. I bought a shirt from your shop! -V

[@nicholasoneill9843]

Hi professor i was wondering if there was any youtuber you would recomend for physics lessons?

[@quadraticfunction8045]

Quadratic functions are amazing lol

[@icono__7136]

I have a question Pr about limits: lim [(theta^2) / (1 - cos (theta))] as theta approaches 0 = 2 (if we solve it by multiplying the expression by (1 + cos (theta))/(1 + cos (theta))). However, when reviewing my notes, I tried to solve the above by this: 1. split factors lim [(theta^2)/(1 - cos (theta))] as x -> 0 = lim [ theta * (theta/(1 - cos (theta)))] as x -> 0 2. Express the lim of my new product as a product of limits lim [theta * (theta/(1 - cos (theta)))] as x -> 0 = lim theta as x -> 0 * lim theta/(1 - cos (theta)) as x -> 0 3. Use the fact that theta/(1 - cos (theta)) = ((1 - cos (theta))/theta)^-1 lim theta as x -> 0 * lim (theta/(1 - cos(theta))) as x -> 0 = theta * 0 -> lim [(theta^2) / (1 - cos(theta))] as x -> 0 = 0 The steps seem sound, but I don't get the same result as if I'd multiplied by the chosen 1, and I can't understand why.

[@alialhameedi990]

Great Leonardo

[@malakkhamaiseh6410]

Thanks alot 😊

[@Nova234432]

Why is this recommended to me?! I haven’t mathed in years...

[@wexer82]

Time to get back into it. It's the language of the universe.

[@franciseylim11]

You are in good luck, you have found the best channel in the world.

[@wexer82]

Thank you.

[@thangarajselvamani178]

Thanks Sir

[@cabrecwla]

Please, could someone explain to me how proffesor got 0 in 40:50 as y in vertex?

[@sandratingalay]

Prof, can we countercheck with desmos too? or, without calculating , can we use desmos right away?

[@pinkman17_]

6:00

[@politicamenteincorrecto2547]

well this is my guy now! is this high school math?

[@ivoriankoua3916]

I was just doing Quadratic programming for SVM and see this!

[@sumithk5754]

to clarify doubts how can i get in touch with you sir.

[@jared1862]

I think I came up with a shortcut for finding 'a' when figuring out a formula. Take the two points you are given, (in the case of the video Vertex:(1, -5) and Y-int:(0, -3)) and minus the y value of the Vertex (-5) from the y value of the Y-int (-3) [-3-(-5)=2]. This will be the numerator of your fraction and the denominator will be the x value of the vertex squared [1^2=1] [a=2/1]. I'll give an example, let's say the Vertex is (-18, 7) and the Y-int is (0, -27). -27-7=-34 (numerator). -18^2=324 (denominator). We get -34/324. Now to verify -27=a(0+18)^2+7 -34=a*324 -34/324=a I guess it ain't that much of a shortcut lol, but it feels faster when doing it in your head.

[@Jackiebrat01]

What set do you rep?

[@nm1978]

can you teach us the solutions for all polynomials, such as ax4+bx3+cx2+dx+e=0 and many others with higher roots? thank you.

[@TheAncientCodex]

Hi professor ! I did not understand at 33.39 time where did the 2 in front of the equation disappeared ?You did not use it when finding the Discriminant .Thanks

[@solimorsi406]

Hi Doc min 21.58 I do not understand how you plot the (1,2) and (-1,2 ) at 3rd quadrant .Thanks

[@pinkman17_]

23:00

[@mamtagoel1242]

Proff. Could u clear my doubt. I was just wondering that what is the condition for area to be negative under a polar curve if their is? Is it only possible when dtheta is negative?

[@happymanhappy1002]

Hi professor I need solutions to some questions in book mathematical arfekn, impossible?

[@simba6964]

Excuse me there professor I was wondering why many mathematicians never get into PDE’s don’t they take this class? They usually teach upto ODEs and stop there.

[@tiborkemeny8644]

and after you learn calculus and you realise where the first derivative equals zero, there is your x coordinate...

[@aliozgul3906]

Very nice lesson techquie. More graphical interface, I most like. Best regards.

[@jeshmh]

My man looks like clark kent i cant

[@antisocialboy818]

16:33 HAHAHAHAHA

[@cocmastervivek4500]

He looks like the actor in superman🤔🤔

[@jeetunisa6895]

more

[@hkanhai5094]

Good afternoon sir.. do u lecture at the masters degree level?

[@jamalzahid2266]

SIR FROM WHICH BOOK YOU ARE TEACHING CALCULAS AND MULTIVARIABLE CALCULAS.

[@F4M05D4V35]

He has said he doesn't recommend a certain book. He has said to use multiple books. I recommend Early Transcendentals by Stewart if you have to pick one.

[@jamalzahid2266]

@@F4M05D4V35 thanks

[@sahildhingla]

Your voice is echoing. You should probably use a collar microphone.

[@bigshaqsmathematicalinstit3318]

Sahil Dhingla bro this is free

[@Game-mj4pb]

Him:- calls this advanced algebra Me:- we do this in grade 10 here in Nepal and it’s one of the most easiest problem

[@nuzhatazim8194]

bruh Americans really make a big deal out of small things lmao

[@Game-mj4pb]

@@nuzhatazim8194 truu

[@sekhartimsina1534]

I'm nepali but live in the US. Learning this stuff in 6th grade.

[@sekhartimsina1534]

US curriculum is trash tho.

[@rickdecarlo]

I'm in Canada. We do this in 5th grade.

[@TheSpasmer]

I'm going to stop supporting this channel as a patreon until he uploads trigonometry videos just like the title of this Playlist says.