Determine if a quadratic has a max or min value then find it (mistake)

👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic equation is an equation whose highest exponent in the variable(s) is 2.
The parts of a parabola include: the axis of symmetry (the line passing through the vertex of the parabola to which the parabola is symmetric about), the vertex (the point at which the parabola turns), the domain (the set of possible x-values of the parabola, usually all real numbers for regular parabolas), the range (the possible y-values of the parabola which is usually the region above the vertex inclusive or below the vertex inclusive for regular parabolas), the x-intercepts (the points where the parabola cuts the x-axis) and the y-intercepts (the point(s) where the parabola cuts the y axis.
Timestamps:
0:00 Intro
0:15 Start of Problem
Corrections:
3:36 I miscalculated the y. It's positive 15, and not -15.
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Organized Videos:
✅Graph a Quadratic in Standard Form
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | Learn About
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | Essentials
• Graph a Quadratic in S...
✅Find the Parts of a Parabola
• Find the Parts of a Pa...
✅Graph a Quadratic in Standard Form | ax^2+bx+c
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | x^2+bx+c
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | ax^2+bx
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | ax^2+c
• Graph a Quadratic in S...
✅Graph a Quadratic in Standard Form | ax^2
• Graph a Quadratic in S...
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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
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[@swethbobinson3167]

its 15 not -15

[@brianmclogan]

you are correct, thanks!

[@swethbobinson3167]

Thank you for the videos. They helped me get through my summer math class.

[@elliaamandawedderburn4079]

I saw it too. Maybe it's because he was moving a bit fast he first realise

[@daptoperchen9484]

so is the minimum 2 and maximum 15?

[@sadmanles3165]

@@daptoperchen9484 brother the coordinates of the maximum point is (2, 15)

[@davide8594]

The savior of quarantine math homework

[@reneemed2497]

yes lol

[@ethano7487]

Amen

[@edengoodwin1418]

David Evangelista omg yes

[@willsayer6130]

and tests....

[@ravenjwls55]

Amen😂😂

[@trikks5578]

Who else got a test tomorrow 🤷‍♂️

[@SeekTranscendence]

here

[@jacobklinko4235]

midterm for me

[@elyvion4980]

Exam tomorrow lmaoo

[@bhavikupadhyaya972]

Test on Monday

[@TippedTooth]

I have it today goodluck to me

[@xrayne7894]

you explain things so much better than my teacher

[@urunclesam1659]

The way he wrote minimum was so satisfying 1:08

[@rbanerjee605]

1:09

[@aryanvadlamudi9663]

SO TRUE!

[@the_uncle_joe]

🤤

[@Fawaffles]

My brain thinks that the word “Math” means sleep so everytime in math class i would feel very sleepy and cant focus and so here i am

[@KhaLed-pb4pu]

Strange how NONE of the student noticed the mistake...

[@trickortreat5226]

Its maximum not minimum right

[@evan.5967]

trick or treat no

[@johnsherby9130]

They are learning how to do it.

[@evan.5967]

@@johnsherby9130 Watch bawa's proof of pythagoros theorm

[@umbnmbu4679]

@@johnsherby9130 learning how to do it??? Did you even understand what are we talking about here? -8+16+7=!!!

[@n4humyt948]

who else is watching this while taking a quiz 😬

[@koolaiddudeawesome9850]

Are you spying on me Jk but yes I have a test

[@bbyd4862]

You’re such a great teacher. I’m having a hard time in my math class. You are really helping me so much!!!!!

[@feelsbadsmdp2045]

We should study

[@ruthgarcia2716]

I dont even understand it :(

[@vishwajeetsaikapian883]

Hello

[@vishwajeetsaikapian883]

Where are you from

[@jonahkameka5388]

lifesaver, my teacher sucks at teaching online, and in the classroom.

[@carry4792]

facts!

[@mahir_wasif]

in 2024. it is still a important topic

[@zenkle6504]

Your videos have saved me. I get too nervous in class and end up not asking questions, and the teaching style of my teacher is hard to understand to me. Your videos are quick and easy to understand :)

[@syedsuhash]

it must be a blessing to be in his class he teaches so well!

[@brianmclogan]

can you provide the exact notation of the question, I am having a hard time understanding exactly what you are asking. In the video above I show how to find the maximum or minimum value of a quadratic

[@ahmedthabit579]

Brian McLogan is -15 or 15 can you make sure

[@obitouchiha4739]

@@ahmedthabit579 it's 15 lol

[@Daffolill]

But it's 15 not -15

[@user-yf3ej1ym4b]

Those who dont know how he got 15, -8+16+7 Add -8 to 16 = 8 Than add 7, 8+7= 15 (He made a mistake by writing -, its a positive) hope this helped!!

[@alexrouse5265]

You're like literally my math teacher at this point. Love your videos! (Precalc)

[@brianmclogan]

happy to be there for you!

[@terrypetrickson6376]

Thanks professor, that was really helpful!

[@CurryRic3]

this video was super helpful, i was stuck on this forever until i saw this video

[@doorlord1521]

Brian I just want say, any time I have a math question, you’re the first person I go to. And you ALWAYS deliver! I looked this up thinking, “nah I ain’t gonna get lucky”. Then boom. First video. Thank you king 👑

[@brianmclogan]

Boom love it

[@shrutijain1998]

He teaches so well. It feels like I'm in a real class.👌

[@lilbruh7012]

Thank you very much “teacher” I really appreciate it and you are very helpful

[@cgadison]

I just want to say that I SEVERLY wish you were my college Pre-Cal teacher. You're teaching style is so well COORDINATED.

[@emigeorge9315]

THANK YOU, genuinely learning more from you than my math teacher

[@jessetoal2787]

this guy deserves all of these positive comments, ive never seen a math teacher so well versed he created a MASSIVELY sucessful youtube channel based ENTIRELY on math

[@nguyenthibichthuan1430]

He’s a good teacher 😊

[@NoraS-K]

Thank you so much for this video! It helped a lot. 😁

[@klea7496]

You are such a great explainer! Thank you

[@vansheeka-9825]

Thank you so much for explaining this so slow. Most tutorials were fast and I couldn't figure why I was unable to do my sum. Thanks

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I love his hair line

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I love his teaching

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Let's admit it, this is the best math teacher you can ask for

[@Logan-ym5iz]

Thanks for teaching better than my teacher.

[@withthom8363]

I have dyslexia and this helped me finally understand

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You are a God send sir. Your getting me through pre-cal

[@sarahbi8149]

Thank you for you videos! I'm learning by myself actually, because my teacher is helpless....

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The students are blessed in this class

[@fredrickcuambot1234]

Your the best online teacher so far i found in internet thank you i learned a lot from your youtube videos... Im not actually liking your vids but since i found your channel I've never been into another yt channel.... Thank you

[@fredrickcuambot1234]

I like the way you deliver the topic it's always straight to the point. Best math teacher love your work❤👍👍👍

[@alexhuang8371]

this explanation is 10x better then the ones my teacher gives

[@brianmclogan]

happy to help!

[@ikrambendjillali4818]

thank you so much I'm subscribing to your channel please post more video you are such a great instructor, used very detailed and quick explanation.

[@brianmclogan]

Thanks Ikram! Post everyday

[@koolaiddudeawesome9850]

I have a math test today so thanks for helping me

[@study4me790]

you are an amazing teacher. keep going

[@Milo13732]

Ur the reason I'm passing my math classes

[@sabrinatabeta9064]

Are graphs written in ax^2 + bx + c like what you just did just open up or down, and not left or right? Love your channel, thanks!

[@brianmclogan]

no there can be up down, left right all depends on the values of a,b,c. That is why using vertex form is helpful

[@sabrinatabeta9064]

@@brianmclogan but in the standard form x is raised to 2, right? Does that automatically mean the graph would either open up or down if x^2, while if the y value is raised to 2 then the graph would open left or right, is that correct?

[@brianmclogan]

that is correct, in standard form and vertex for x^2, however if you are looking at the parabola in conic sections then y^2 is a sideways parabola

[@sabrinatabeta9064]

@@brianmclogan oh, okay I get it. Been studying for a college entrace test and you and your videos been helping a lot! Thanks!

[@brianmclogan]

awesome! happy to be able to help

[@gian.zagada702]

I love this man. He explained it so well and easier than how my math teacher explains it (actually, my teacher does not even explain it. Just shows what he’s doing and expects us to just get it.)

[@zydoncauchi664]

Hahaha exactly like my teachear

[@kfv5149]

As of now, the 160 dislikes are the people that didn't realize that it was supposed to be 15 and not -15. Which is why they failed :p

[@HonkYeahArson]

Me watching this at 1 AM with a test in the morning:

[@Mr7cfc]

Hi Mr McLogan, when they give you a quadratic equation and they tell you x equals or bigger than a certain number, and smaller or equal to a number, and ask you to find the maximum or minimum value, what do you do?

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You are a legend and better the my doctor ❤️❤️❤️

[@joshuajdig8343]

Thank you very much you make things easier cuz you explain it better than my teacher ❤

[@billfilmsstudio4438]

thanks you you save me so much got to retake a test today

[@ginalazarito7958]

watching in 2020, this really helped me in my calculus module Q^Q thankyouuu

[@jasenater1330]

Man wish this guy was my math teacher

[@bacconsbrother2485]

Just a question what about the exponent of 2 for a?

[@pieter-janbosman698]

I cringed when he made the mistake and spent the last few seconds of the video sincerely hoping for him to realise it! 😀😀😀 Great tutorial, though...

[@dejan444]

Thank you I'm in a test full of this and my teacher didn't say anything about it

[@synalasmith5274]

MAXIMUM is y=15

[@YeshuaLobo]

You’re a lifesaver man🙏🏾

[@kushagrasharma6897]

Thanks for the method really make my day👍

[@giarose240]

Anyone else here under 16 currently doing this for GCSEs?

[@je110mayo_on_gfuel3]

I learned more about that in less than 10 minutes than I’ve learned about this topic all week

[@brianmclogan]

awesome!!

[@shadowstalker7259]

thanks, I have a math test tomorrow, and didnt really understand this, I hope that now that i know this i can get an A!

[@diaverna]

There were two mistakes in this video as has been mentioned. Thanks for the help nonetheless.

[@kayleemahoney8791]

The max and minimum explanation. Is that one.

[@heydavid4883]

This helped me so much

[@KingsleyOkeze]

Tomorrow, I'd be writing my last math exam in my life. Thanks for this.

[@shawn651]

How was it?

[@KingsleyOkeze]

@@shawn651 it went well. Thanks for asking.

[@oofergang2279]

Thx for the help man!

[@bradmahoney8381]

Great math help thank you

[@jonasverhaegen573]

What if you have a function x(y) instead of y(x)

[@lynnica5219]

Thank you for acknowledging your mistake! I'm prepping for the TSIA and I thought I might be crazy 😅 It's been too long since high school Algebra haha

[@johnrobiedemotor8470]

This guy and the organic chem teacher has been carrying me from high school and college lol

[@jonkarle8670]

How did you get -15 for the "y" value? I came up with 15.

[@ayog638]

bruh I swear ure the best, may god bless ya

[@duckgoose7449]

Thank you so much

[@rezaarian237]

hahaha even though he made a mistake still I learned a lot from this, what a perfect teacher. Thank you

[@umbnmbu4679]

What is so funny??? hahahah Idiot!

[@devitus781]

@@umbnmbu4679 ssh

[@mixedemblem3683]

Thanks man this helps a lot

[@mahadqadri2121]

Very helpful thank youuuu

[@ha_laughswhilecrying3496]

Thank you so so so so much! I have a quiz tomorrow and my teacher told me to figure it out in my own, I was so confused and this is so simple!

[@timurlinr8405]

what is the formula for minimum point . Thanks

[@dr.rahulgupta7573]

Sir We can determine y= f(x) ( max / min ) by putting dy/dx = 0 and then substituting the value of x ( --b/2a ) in y . DrRahul Rohtak Haryana

[@nitannitan5914]

very helpful!

[@thavirukandamby6898]

Thank you very much sir this helps a lot

[@thtboiigio8149]

What’s a easier way to graph it then using a graphing calculator cause I don’t have one

[@Roastpeef]

Hey , i don't understand how you got your y...

[@dweebdemolisher5331]

This wasn’t in our unit but it’s on the final tomorrow 🤷‍♂️

[@neilwilliams8353]

anddd same

[@ahmedkahled324]

thank you for the video it's helpfull

[@azizulfizri963]

Thank you so much Sir !

[@hunterprotheroe9955]

TY MY BRAIN HAS BEEN SAVED FROM FRYING!

[@morganox]

this guy is saving me from functions rn

[@youssef23able]

could it be a maximum and a negative Y ?

[@shaileshgupta8683]

Nice explaination Thanks sir love from india 😀

[@chantel8869]

what about when there's no a e.g. finding the minimum of xe^x?

[@relardztv605]

Super amizing good because of your vlog tutorial I got some knowledge from you so

[@VELO5]

Thank you sir🙏🏼

[@carlosxdxd8361]

1 hour of math class in school: Zzzz 4 minutes watching your video: OMG easy bro GGs (thank you for your help)

[@bobainy6573]

Good for your students 👏 👍🏿 😀 🙌

[@kapilmagesh5212]

i would also recommend changing the equation into vertex form to find the vertex, which seems easier to me

[@KILLRXNOEVIRUS]

NOOB

[@KILLRXNOEVIRUS]

vertex from is for babys!

[@donjohn281]

Id tag my professor if I could

[@joseeleazarrellente5199]

Maximum value must (-2,15)

[@koolaiddudeawesome9850]

I thought it was a minimum value since a is less than 0

[@koolaiddudeawesome9850]

And also it is (2,15)

[@oscarjacobis2639]

Just Lovely💚✌

[@sleepysoju]

you literally teach better than my algebra honors teacher 😬

[@mariashibib2825]

Thank you sir!!

[@brianmclogan]

you are very welcome!

[@SkiiiFromTheWC]

How did you get -15, shouldn’t it be positive 15?