Applications of Quadratic Functions (Precalculus - College Algebra 26)

[@rayj1232]

Wohoooo Professor Leonard is back! The greatest professor ever!

[@giacomovicentini3495]

Professor Leonard I can't thank you enough... Through this quarantine I've learned calculus 3 with your videos and had lots of fun too, because I'm a dork, and because of your awesome sense of humour and the most important of all: an amazing teaching skill. Again, I've appreciated a whole lot your commitment to uploading such high quality math and physics videos that when I'm economically capable I'm going to give back to you through your patreon! Thanks again, you have given me a great example to what a great teacher is such that when I become a math teacher myself ( if hopefully my dream comes true) I'm going to take great inspiration from you! Greetings from Italy.- Giacomo

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Professor Leonard finally have posted a video after 2 months. I'm literally crying of happiness 😭😭😭. Waves of joy are blowing in my heart 😭😍😍

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it's NICE to have you back !!!

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@Professor Leonard Thank you for your service

[@veryhealthy9962]

This was a much needed video to serve as a checkpoint for what we learnt so far. Granted it is very basic vs the real world but at least the general idea serves as a good prelude of whats to come as we advance further.

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Wow sir I'm really very happy to see you back....

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The Prof is back!! Yes!

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Glad to have you back!

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Glad you are back professor, I hope you are doing fine!

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So happy to see you back! I’ve stayed subscribed in hopes you’d be back eventually. I am taking Linear Algebra this semester and it’s my last math class...wooo hoooo! I can’t thank you enough for your help! You definitely helped me get my 2 A’s in Calc I & II! You are such a good professor!

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professor Leonard is back! woohoo can't wait for the rest of stats course. thank you so so so much for sharing these videos! they're of real help

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i've watched A LOT of math online and professoer Leonard is at the very top! Keep up the good work!GREAT TEACHING STYLE!

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Thank you thank you...Finally. Congratulations Professor Leonard, you’ve make it.

[@KhadijaAlshemeili]

Professor Leonard, I took the last course of Calculus the previous summer which is CALC3. I've been watching your playlists from DAY 1. I just want to thank you because I've been always hated math but for the first time, I got an A in CALC3. Thank you very much. You deserve the whole world! Stay safe 🌻

[@ronin_9]

Finally! Thanks for all the videos Professor. 🙏🏻

[@name8166]

Professor is back! Professor is back!!

[@georgesadler7830]

Professor Leonard, thank you for explaining the Applications of Quadratics Functions and its impact on real life economics. Revenue is a huge application that involves Quadratics equations.

[@ProtoMaxoid]

Hey Professor Leonard, I have retaken Calc I, Calc II, and Lin Algebra again. I have improved my grades, thanks to you.

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He’s back!!

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Thank you for showing the practical application of many things in mathematics!

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Thank you, professor.

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welcome back, king

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Finally ..professor leonard is back❤❤

[@roadchewerpe5759]

I hope to start learning differential equations soon! I’m excited. I just need to get through calculus first at a pace that I can learn everything thoroughly.

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I just got a B over the summer semester in Calc 2, ALL THANKS TO PROF LEONARD! thanks dude you're amazing!!

[@asunderco]

Bruh, me too! 85%! CONGRATS!

[@somerandomperson467]

That’s a very bad grade 😂 LOL!

[@dsweep9576]

Idk taking a tough class in less than 8 weeks online, and haven't touched a math book in years, some people are natural mathematicians, you must've gotten an A in Calc 2 i guess, good for you.

[@somerandomperson467]

So you’re just trash at math or what?

[@maksymandrzejdrzyzgiewicz5096]

@@somerandomperson467 Rather be trash at math than human trash =)

[@kedson2957]

I give no damn about quadratic functions but keep watching Leonard videos.

[@uditkumar2829]

Best teacher ever

[@greg4071]

Finished all my calculus courses thanks to you time for differential equations!

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Professor Leonard is back!!!

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Welcome back supermathman!!

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Professor Leonard you’re the 🐐

[@mitko1231]

Welcome back!

[@fredtanada3388]

For anyone curious, the vertex x coordinate you get for the last example is 62,500. Therefore, h(62,500) is 31,250.

[@MysteryGeek2006]

So H is half of the vertex basically?

[@blendibisha33]

How did you get 31 250? I got 125 billion.

[@TaylorSaunderDrums]

Professor Leonard, so happy to see you back on KZbin. Will we be seeing any linear algebra videos in the future? I know you mentioned them about a year ago, but I understand a lot has happened since then. Just checking in! hope everything is well, I look forward to hearing from you.

[@zooqanpawar1902]

I watch this guy everyday.

[@djangogeek]

I'm an engineer thanks to this guy lol

[@abelgarcia3287]

Hello professor Leonard, do you have a video of an introduction to trigonometry?

[@Newzisiun]

Long time no see!!! Are you OK Sir?? Completely fit & fine?? Waiting for you with your videos so long.. Time to celebrate your comeback.

[@ProfessorLeonard]

Yep, I'm back! I took a much needed break but I'm ready to get out LOTS of videos :)

[@Newzisiun]

@@ProfessorLeonard Thank you so much for your kind reply, Sir. But truly I was little worried in this time of pandemic. Thank you Almighty, you are fit & fine. Eagerly waiting for your next videos.

[@bakarydieye7873]

@@ProfessorLeonard I was worry too I must say (like lots of folks here I guess...) A warm Hello from Sénégal...glad you're okay !

[@somasahu1234]

How to get that price function?

[@sulgunrejepova3867]

Uhuuuuuuuu you are back

[@joshuaclavel9666]

YAY! Will you be uploading more videos?

[@irfanhaleemirfanhaleem1273]

And for the maximum input value, we can also take the average of the x- intercepts, isn't it?

[@yensteel]

Professor Leonard, do you have interest in teaching Linear Algebra?

[@jennifertimms7779]

As an entrepreneur, I found this video very interesting. Thank you, Professor L. I enjoy your channel immensely!

[@irfanhaleemirfanhaleem1273]

You are a genius 👏 ❤

[@rafiihsanalfathin9479]

Will you continue diff eq?, how about fourier transform etc

[@Dancingfish2014]

Maybe there is better way to get vertex value. Since you did factoring the quadratic function and got two zeroes. We just need find midpoint of zeros Which could be vertex x value. In the example one we have 0 and 300as zeros so vertex x value will be (300+0)/2=150. Just saying, no offending. I always appreciate to professor’s fantastic job. Thank you so much for helping us.

[@mickeyp6639]

sure but it's easy as hell to do -b/2a and you can use it without factoring it in which case you can often times, having just the y intercept and the vertex, deduce what the other x intercept is

[@su.mu.kh.]

Nice video sir.....

[@AdnanKhan-mm6bo]

Love u my Professor..

[@m7mdarwani964]

👏👏 The best

[@ayushjha8292]

Hey when are you gonna do Fourier transforms and Laplace Transforms???? Please we need it!!!!

[@wexer82]

Thank you

[@limlim1502]

hello Professor Leonard, here are my suggestions or request, would you mind to teach something like stat and probability, linear algebra , these university level maths(more advanced)?, if possible

[@physicsvoice3597]

Thanx professor

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Hello Professor

[@rmw6151]

Good to see the Professor back... He looks tired and worn out and frankly unwell. I hope he is well. If you like his output consider supporting him on Patreon - 1 dollar a month is not asking a lot for his work given for free on KZbin!

[@sulgunrejepova3867]

How much we missed uu

[@rossyputri424]

Waiting for Trigonometry :)

[@zeeshan7372]

GOAT

[@successghartey3682]

Wow...am the first to comment. ....thank you Prof.

[@radheyshyam5046]

2nd viewer and first commenter :) from india 2 o clock night

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I am also from India brother

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❤

[@jump7holes]

You’re literally just an older version of Scott the Woz on YT! Hahaha...((:

[@mawkuri5496]

can this be used in bitcoin?😁

[@kingrenny]

🐐🐐🐐

[@mickeyp6639]

Strange examples to use... The first one doesn't make much sense from a business point of view... Selling more of something is never going to be a bad thing. The only time you would want to be selling at a loss would be to get a foot in the door first even when you're not ready to make profit production wise. I think in reality you would want to be solving for the price variable ASSUMING a certain amount to be most likely sold to maximize likely profit. The second example is clearly going to be a square and could much more easily be solved by literally dividing the perimeter by 4... Finding the area then is as easy as that quotient squared...

[@guidofeliz8384]

Why did you jump so quickly into the video? Where were you all this time? You should have given your audience an introduction after being away for so long.

[@rosepierce9382]

probably pre-recorded

[@thenofur]

5:17 lol

[@nope9183]

I bet this video was made to prove that what we learn will be used in life, even more cuz he started with moneys which we want the equation to be right, lmao.