Graphing Quadratic Functions (Precalculus - College Algebra 24)

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A thorough explanation of graphing quadratics with reference to Vertex form by completing the square, the vertex formula, y intercepts, and x intercepts with the quadratic formula.

[@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 =)

[@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".

[@vinayverma2578]

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

[@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.

[@mashable8759]

Best teacher in the whole world. A true SUPERMAN

[@kuanliu4253]

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

[@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

[@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...🙏🙏🙏

[@pinklady7184]

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

[@Devayearsago]

Professor you’re a lifesaver thank you 🙏🏻

[@deepinderpalsinghdhillon5943]

Thankx Professor these videos are helping me a lot

[@chericha]

Hands down the best math teacher on internet.

[@aryapramanda8163]

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

[@AyisatLawalShittu]

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

[@siennafalls]

Thank you, Professor Leonard!

[@guidofeliz8384]

Anxiously waiting for Linear Algebra and beyond.

[@zacharykahn8134]

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

[@kingrenny]

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

[@studyhome895]

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

[@1Vice876]

Professor Leonard 🐐 GOAT

[@sharyarkhan690]

Great profesor ever ♥️

[@uzzyhaxxan9279]

Sir You are The best ♥️

[@mohammedamansalih9123]

Thank u so much leo

[@angajasonr.2422]

Thank you sir

[@mekusha-graphics-mekushat6493]

the best teacher ever

[@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.

[@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

[@TheThorRs]

engaging teacher,

[@wexer82]

Thank you.

[@falakzaki284]

Any idea when trigonometry section is gonna start?

[@familypers0n123]

it already started

[@alialhameedi990]

Great Leonardo

[@quadraticfunction8045]

Quadratic functions are amazing lol

[@ivoriankoua3916]

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

[@malakkhamaiseh6410]

Thanks alot 😊

[@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.

[@thangarajselvamani178]

Thanks Sir

[@nicholasoneill9843]

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

[@franciseylim11]

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

[@ricardocorrea9398]

Series is now completed!!

[@veronicasester4136]

when is the linear algebra segment coming up??

[@agh1750]

will you ever be doing a linear algebra series?

[@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.

[@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.

[@politicamenteincorrecto2547]

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

[@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

[@lovessorrow948]

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

[@sandratingalay]

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

[@cabrecwla]

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

[@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?

[@sumithk5754]

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

[@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.

[@happymanhappy1002]

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

[@aliozgul3906]

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

[@pinkman17_]

23:00

[@Jackiebrat01]

What set do you rep?

[@jeshmh]

My man looks like clark kent i cant

[@pinkman17_]

6:00

[@antisocialboy818]

16:33 HAHAHAHAHA

[@tiborkemeny8644]

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

[@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

[@cocmastervivek4500]

He looks like the actor in superman🤔🤔

[@jeetunisa6895]

more

[@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.

[@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.

[@armpitpuncher]

For functions that have complex roots, is there any significance to the values they take? So far, it seems like once we find out the roots are complex, we just forget about them. But is there any meaning we can derive from their specific values, beyond the binary choice between crossing the X-axis or not?