How do you convert from standard form to vertex form of a quadratic

👉 Learn how to graph quadratic equations by completing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either face up or down (if x is squared in the equation) or face left or right (if y is squared).
To graph a quadratic equation, we need to know some essential parts of the graph including the vertex. The vertex of a parabola is the turning point of the parabola. It is the point on the parabola at which the curve changes from increasing to decreasing or vice-versa.
Given a quadratic equation in standard form, we obtain the vertex of the equation by using the process of completing the square to rewrite the equation in the vertex form and hence extract the vertex of the parabola formed by the equation. Knowing the vertex of the graph and the parent graph, we can then apply the required transformation to obtain the required graph.
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Organized Videos:
✅How to graph a Quadratic in Vertex Form
• How to graph a Quadrat...
✅Identify the Vertex of a Quadratic
• Identify the Vertex of...
✅Complete the Square then Graph | Hard
• Complete the Square th...
✅Complete the Square then Graph | Easy
• Complete the Square th...
✅Graph a Quadratic in Vertex Form with Vertical Shift Only
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form with Stretch and Compression
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form with Horizontal Shift Only
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form | Learn about
• Graph a Quadratic in V...
✅Graph a Quadratic in Vertex Form with Horizontal and Vertical Shifts
• Graph a Quadratic in V...
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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.freemathvi...
#Graphquadratics #quadratics #brianmclogan

[@brianmclogan]

If this video or many others was helpful, please consider letting me know with a "Super Thanks" above ⬆. I am able to read and respond to all my messages and thank you so much for your support

[@feralphoenix6646]

Thanks for your help! I was able to understand vertex form for my test.

[@yanhongchen8285]

So nice, I am 9th Grade student. I need to test for the regrent.

[@raunakghuman1429]

thanks so much i have exams tomorrow and have no idea what to do

[@jacksonberry442]

I love you so much

[@LiterallyjustaSillyGoose]

SUPER THANKS

[@zurozuto5458]

U just taught me what my teacher couldn't teach me in a whole unit in just 8 min God bless u sir

[@brianmclogan]

you are very welcome Zuro!

[@roroparty]

same

[@Cryosaturn]

The fact that people still come back to these videos from you just PROVES the fact that your lessons are helpful. Thank you

[@pleadinsanity621]

I get it in 8 minutes instead of 50 minute class. Thanks!

[@brianmclogan]

you are very welcome!

[@kiierbk2017]

Insanity GamingTV I swear

[@stephaniecastro9200]

IKR!

[@omarcastillo4665]

Faxxx

[@SavageGsus]

I swear man

[@Autumn_The_Nerd]

Y'know, Something I always needed from math teachers was to explain WHY. The what only gets you so far, The how lets you know what got you where, But the WHY Is literally so important and I feel some teachers really over-look it. But here, I understand things very well because its explained fully in a good way

[@SuperEDU-h9z]

i asked for this from them and well they couldn't really explain why it works....

[@alexh4502]

Finally after like 30 minutes I found something clear, simple, and exactly what i have been searching for! Big help for homework

[@brianmclogan]

happy to help you out Alex!!

[@Krillinon]

5 years, 600 likes and only 1 comment, lemme fix that

[@alexh4502]

@@Krillinon thanks man! I graduate college tomorrow funny to see how i was struggling w this 5 years ago

[@vixiink]

This is by far the best explanation I have seen. I appreciate how you went through 3 different scenarios simultaneously, and showed us how to get around them.

[@brianmclogan]

So happy to help

[@endripashollari8221]

I am gonna kiss that bald head this was so helpful

[@brianmclogan]

haha happy to help

[@damig6507]

Right! Thank you brain, this was so helpful I’ve been stuck on that for weeks

[@Tubbs777]

@@brianmclogan Your awesome, Good job bro !!!

[@shadowbane7401]

Weird flex but ok

[@Tubbs777]

@@shadowbane7401 😂😂😂

[@ec4354]

all these 216K views bc our teachers cant teach

[@brianmclogan]

Happy to be there for you Lisette

[@georgeevans506]

Or maybe because you dont pay attention

[@licecollector6199]

My teacher just gives us worksheets for the entire period and we have to teach ourselves while she walks around. Garbage.

[@georgeevans506]

@@licecollector6199 that's too bad, my students complain because I give too many notes haha

[@SlothMotions]

lol 400k now

[@husseinahme3484]

I love how you slow down and really explain what these terms mean like completing the square. It really helps to understanding how to convert standard form to vertex form

[@brianmclogan]

Very welcome!!

[@brandonpruter7888]

I might actually pass my final tomorrow now

[@Michael-ot1kn]

Brandon Pruter i know

[@brianmclogan]

Best of luck!

[@j_bad1032]

how did you do???

[@TwebYT]

did you pass?

[@ryan_the_overlord]

Did you pass????????????????????????????

[@annaajj24]

This was extremely helpful! Not only you explain the steps, but also why and how you get there! A free math lesson that gave so much! Thank you!

[@charley6799]

Only vid explaining this in a way that didn't confuse the heck outta me.

[@brianmclogan]

happy to be able to help you out!

[@hiimaj4873]

same

[@sri-kaushalramana437]

same

[@brennan_f2]

This mans is a beast

[@circleofdeath4026]

I wish that teachers were all like you man. Imagine the amount of content and time students would have to apply their knowledge of a concept, all while not being overwhelmed by homework as we often are. You a brilliant teacher man, thanks for all you do for the math community.

[@starinsky2873]

Thank u randy orton for teaching us mathematics!

[@brianmclogan]

haha you are very welcome!

[@jasonbuhariwala5288]

AHAHAHA 😂😂😭😭

[@amourhamisi3959]

😂😂😂

[@903288001]

lolz

[@fet6]

One of the reasons that Brian is such an excellent teacher, is that he doesn't do all the steps to one problem. He repeats the steps on multiple problems as he goes (for repetition) students learn much better this way in my experience! Kudos Brian!

[@green5310]

Super helpful. I am very appreciative of this!! Math is definitely my worst subject...

[@brianmclogan]

that is okay, keep working hard, it will come to you

[@digitaldiscomfort3813]

This is the gift the cant stop giving. I imagine for as long as KZbin is up, someone in every math class will refer to this at some point. thx

[@eggz4life]

after 4 years of college and highschool you've explained it tthe best

[@brianmclogan]

thank you for sticking with me for so long, really happy to be able to help you out!

[@danielhill6258]

10 years later and you are still helping the world learn. Thanks for your help today!

[@DavidChubaca]

I’m a college student doing review before I start calculus this semester, and this is a great refresher! Thank you.

[@brianmclogan]

you are very welcome! best of luck this year David!!!

[@bug3047]

I am so late here but I have had such a difficult time trying to understand this in class no matter how much my teacher tried to explain it. I needed something clear with steps and this really helped me out, thank you very much!

[@axelmorton397]

No matter how old these videos get, Brian will always be the guy who got me through highschool math. Thanks dude.

[@benbrill1384]

Thank you so much. Corona has closed schools, and my teacher expects me to read the textbook. 1st, BORING, 2nd, Doesn’t help at all.

[@rxsesforyuki5342]

omg i feel you, I currently taking Algebra 2 over the summer to get credit ahead of time and the college that is teaching me is not really that helpful and has weird techniques. Why cant everyone be as simple as this dude smh.

[@dansingcow5129]

still here in ap pre cal 11 lmao

[@jobelleborra4713]

@@rxsesforyuki5342 because apparently, using weird and complicated techniques makes you look cool. Tf is wrong with schools nowadays?

[@mathfullyexplained]

Try my channel mathfullyexplained. Units on quadratics plus more units

[@Jliz80]

Thanks!

[@brianmclogan]

You are very welcome! Thank you for the support 😍

[@mr.greninjaa54]

Thank you so much! This helped me out on my homework a ton and it cleared up any questions I had for an upcoming test I have! I really liked how you did all 3 equations rather than just one like all of the other videos.

[@roalia4159]

Please tell me I am not the only one here in 2019

[@Acro]

Right here. Got a quiz with this on it tomorrow.

[@wetback-im7hw]

We’re here with you 😉

[@dr.strange7311]

@@Acro good luck. got a final exam on thursday

[@myaclark9240]

Got a test on it tomorrow!

[@umitsmochi9580]

Hanita Prety got a test on it today bro, I’m worried lmao

[@nathanows7]

Lol I have a 95% in my AP Math class because of you... thank you so much for your unconfusing explanations 👍🏾🔥

[@mbullehkebbehal9538]

Thank you very much for you videos. I have been using your videos since 2015 I think, to help my daugther from her grade 10 to grade 12 and even while she was in fisrt year university. Now I am using your videos to help my younger daughter Mbulleh Kebbeh who was in Grade 10 last year and now in Grade 11. Your videos are very useful. I am Mbulleh Kebbeh's Father.

[@lilyann8080]

Thank you soooooooo much! Honestly I have tried to grasp this for ages and now I finally get it! You are a fantastic math teacher 🙏

[@catsubiston]

8 minutes vs a 1 hour class.....and the 8 minutes wins, THANK YOU!!

[@aidentimmons4311]

Your videos have saved me... teacher never actually teaches, just hands homework out. This makes so much sense and I probably learn more about a topic in five minute videos the a weeks worth of lessons.

[@mathfullyexplained]

Try my channel mathfullyexplained. Units on quadratics plus more units

[@awesomeguy58]

Thank you so much. 7 years later and your video still helps people!

[@brianmclogan]

So happy to be able to help!

[@jacksonnorris6444]

Thank you Brian! You've helped me so much more than my math teacher has.

[@joshuayelle5583]

my algebra teacher is so bad and spend 3 days explain how to do this and it is so confusing . You just made me learn it in 8 minutes. You are the best and I am telling all my friends about you.

[@deathmitt5971]

You have saved my life as a student in 2020

[@mathfullyexplained]

Try my channel mathfullyexplained. Units on quadratics plus more units

[@LiterallyjustaSillyGoose]

See, this one actually made sense compared to the other videos I just watched. They failed to elaborate on WHY we do what we do in order to convert into vertex form. Thank you so, SO much! 👍❤

[@genesisordonez880]

You helped me more than my teacher thank you sooo much!!!

[@brianmclogan]

you are very welcome!

[@jodiehitosis6567]

don't know where i'd be without this guy

[@xxtrish_xx]

When you didn’t listen in class and have 2 hours to finish this homework assignment 😭

[@feetdelete4409]

I have an hour and ten minutes till my math final to learn this less goooo

[@mhassan6099]

@@feetdelete4409 yeah yeah

[@feetdelete4409]

@@mhassan6099 i got an 85 bc this wasn't used anywhere so I wasn't prepared 😎😎😎

[@aayaanfarooq9427]

@@feetdelete4409 AYYYY THATS GOOD IMA BOUT TO MY FINAL THIS WEEK

[@feetdelete4409]

@@aayaanfarooq9427 dude good luck

[@kennyfrequency]

thanks for the help. your writing is so smooth 10 years later and your videos still help so much

[@granthartsell5636]

absolute legend

[@brianmclogan]

👊

[@spoulter]

Mad lad

[@dennissanchez5171]

best math teacher ever

[@miccellab6170]

The dislikes are from teachers whose students go to this guy instead of asking them for help. But seriously I spent actual DAYS trying to understand this through the notes my teacher had us write, and still got a 65 on the quiz. He explained it in 8 minutes and I got a 100 on the retake. I'm dropping out this man is all I need to survive.

[@josef7731]

I got more knowledge on an 8 minute vid than the entire fucking school year

[@mathfullyexplained]

Try my channel mathfullyexplained also. Units on quadratics plus more math units

[@nickbaileyspearfishing]

Over the years I always find myself coming back to this page before every exam and test when I’m confused. Thank you so much. 🙌🏽🙌🏽

[@chronox0433]

Sir you just saved my Butt. You just helles me understand something my teacher could not teach me in 4 weeks. Thank you so much

[@soopercorb]

You went through all the examples I had questions on, I wanted to express how thankful I am for this, so impressive!

[@atikshsingh1598]

thank you so much for this video, you won't believe how many people's grades you have saved with this video. Your 6 year old video is still helping high schoolers to this day. Respect.

[@mathfullyexplained]

Try my channel mathfullyexplained. Units on quadratics plus more units

[@JulianHetman]

An intuitive approach! The steps were explained clearly, showing precisely where each step comes from. Thank you!

[@brianmclogan]

You are very welcome!!

[@alejandrovelazquez3236]

you've been the most helpful teacher on youtube (I hope my teacher dosent see this)

[@radioactive5882]

For anyone that got confused when he was subtracting numbers around 5:55. He is just subtracting the equivalent amount he just added to the inside of the parenthesis. ex. -3(x^2-2x)-1 >> -3(x^2-2x+1) -1 (+3) or -3(x^2-2x+1) -1 -1(-3)

[@ivannolia5458]

oh my lord these videos are incredibly helpful. clear, simple, and straightforward. Exactly what i needed. Thanks again brian 👏🏼

[@istoleurmail9563]

Earned a sub for saving me... 2 weeks of teaching, and it was you who actually made me understand in only 8 minutes. Bravo, sir

[@baronalt6043]

This was literally so straight forward and helpful. Teachers should learn from you!

[@mathfullyexplained]

Try my channel mathfullyexplained. Many topics

[@TrapCardDis]

You’re the only math teacher on KZbin that’s helpful for me, good job!

[@bobjames9849]

jonny sins

[@panicattack7873]

Wait he liked that he might be IntErEstEd In thE Arts

[@atikshsingh1598]

@@panicattack7873 what a legend

[@ThePresident-cd5eo]

He liked your comment lol

[@Lagul_4]

The bald characters are always the most overpowered

[@marieklassen2830]

bruh i just looked him up on my school ipad. im so screwedddd

[@helengarcia7358]

I really enjoy your videos and you have taught me much by watching, I wish though that you would speak just a bit more slowly, so that I can follow you without having to restart the video several times. Thank you for sharing your knowledge.

[@josephalim]

You are the effin man. Wish you taught at my college 🙏

[@neethubireddy]

Thank you so much for your video, and you're such a great teacher! However, what do we do for a scenario where there is no b-value, and it's just a and c?

[@seli9490]

who’s here during the covid 19 quarantine?

[@shangao5462]

Me

[@finnmetzler4100]

Me

[@elianahuggins6503]

yup.

[@t-swag4978]

@@elianahuggins6503 yooooo

[@uncoloredredsquare1]

I love how he still liked and replied to comments that were 5 years after he uploaded

[@brianmclogan]

It’s the best part!

[@uncoloredredsquare1]

@@brianmclogan wasn’t expecting that lol

[@kyga_momentomori8363]

great teacher. much much much better than mine

[@brianmclogan]

thank you! happy to be able to help you out!

[@QuangNguyen-dw9je]

I'm taking adult day school grade 11 functions but don't always get what the teacher taught in class. I watch many of your videos and find myself wishing you were my teacher. You explain things clearly. Thank you

[@wyattcamacho811]

Why do teachers become teachers if they just have us look on KZbin for the answers they couldn’t give us 🤦🏻‍♂️ this guy is a life saver

[@LunchEater78]

Yeah exactly. My math teacher doesn't know how to teach and this guy has been teaching me everything that I'm supposed to learn.

[@le_unclebear]

You just taught me for free in an 8 minute video what a class I'm paying $900 a semester couldn't teach me in four weeks. Thank you so much.

[@bells433]

You mad genius.

[@xplanespotter4117]

you are literally a better math teacher than all my math teachers I've ever had. They don't explain anything. I can watch your videos and understand the whole topic in a fraction of a time compared to in school. YOU ARE A GREAT TEACHER!!

[@mathfullyexplained]

Try my channel mathfullyexplained. Many topics

[@TamTran-hy3wj]

You are a genius.

[@brianmclogan]

just a lot of practice

[@williamstevens4416]

Hands down best video you’ve posted. 8 years later and it’s doing gods work. Thanks Mr. McLogan 🙏

[@emmanuel9914]

Only if all teachers were like him how different would the world be

[@elizabethmartinez8759]

THANK YOU FOR EXPLAINING EVERYTHING ! You are the best

[@bababoi5648]

Damn, lookin clean like Mr. Clean.

[@astridsstudii]

you literally are saving me right now THANK YOU

[@PERRYOL]

His tutorials usually make sense to me but I'm lost here

[@JackThaRabbit]

Funny… I practically grew up with this guy helping me with math on last minute assignments

[@persontime4569]

Is this completing the square too?

[@pokemonmegaevolution5460]

Yes , we complete the square to find the number on the far right corner , which is "k".

[@pokemonmegaevolution5460]

So in the first example , we got +4 by completing the square . ( we used the formula (b÷2)squared )

[@jakeswealthworld1039]

Nice work n explanation at that. what app do u use for your thumbnails design sir?

[@BlackSmithWolves]

the steps start at 1:25

[@redhood2426]

Thank you so much, I'm a sophomore who is stuck with a math teacher who can't factor and I have a unit test tomorrow. Absolutely saved my life.

[@elizamichellemanuel6002]

the number of damn times i watched this

[@logan__hite]

people complain about their teachers a lot but mine... omg. He gave me an F on an assignment because I didn't show work on one problem even though I got them all right. He's also rude to students who he finds annoying, he stands in front of the board so we can't see, and he doesn't explain things. He just does math problems and expects us to understand what he's doing. I've learned more from these videos than from the guy whose job it is to teach me. Thank you.

[@Ayak1501]

Thank you bald man. I know how to do this now!

[@pacosouviron175]

you did in 8 minutes what my teacher couldnt do in 2 weeks. respect

[@iraafadrisya4020]

lmao🤣

[@agagnon3535]

This is even more helpful this school year. Thank you Mr. McLogan.

[@MikeMike-yc8gg]

4:25 (keeping equation "equal" by adding * subtracting, on left side and multiplying left side by number on the right outside of parentheses ) 6:02

[@sidleocadio4632]

This man really over here saving my life over and over, THANK YOU🤍🤍🤍

[@cy8858]

thank you so much Mr McLogan you've just made one full topic easier for me really appreciate it

[@rainfox386]

u are the best teacher i could wish for

[@Connor-lk9kz]

This video and the standard form one were awesome. Thanks!

[@TheReMorseCode]

You, my good sir, are incredibly competent and that’s all I could ever ask for

[@yousto1920]

Thank you Mr. Brian for your amazing work but it would’ve been better if you solved each equation by itself and once again thank you and I really appreciate it!

[@Bunny.0ma]

My teacher prioritizes time over learning, so thank you for making this video to explain it while she just rushed one question!! I really needed this since this equation will be a big part of the test-

[@lopangmphasha9483]

You just made this look easy, God bless you sir.

[@jeanxx47]

i have a test tomorrow and u just saved me thank u

[@liquidbyrnes8466]

I love how you used 3 different example problems, your videos are so helpful thank you so much.

[@kashiloidp.fuentes5174]

OMG!!! This was sooooo easy to understand! Thank you for giving me an 8 minute class instead of an hour class where I can't understand anything. God bless you, sir!

[@herculean616]

Hi, I didn't see the method that I use here so I want to ask if it's a viable method to use. y = ax² + bx + c -> y = a(x - h)² + k h = -(b/2a) k = 4ac - b²/4a and just input what I got for h and k to the vertex formula

[@annamay5143]

Very helpful! Only thing I wish you would solve each problem one at a time, it would make it less confusing!

[@alyssa273]

i wish you were my math teacher, you teach so well!

[@errickbolton3807]

I don't comment often, but I had to say this. I've had trouble with this all day. Found this video and hoped for the best. I am now subscribed. I'm recommending this channel to a friend. Thank you very much. Live Long and Prosper