Converting a Quadratic Function From Standard Form to Vertex Form (Completing the Square)

Learn how to convert a quadratic function from standard form to vertex form by completing the square. We will go through 3 examples of increasing difficulty to help you learn this concept. We are taking the standard form of y= ax^2 + bx + c and transforming it to y=a(x-h)^2 + k.
Jump to Part of the Video:
0:27 Example 1: y=x^2 + 6x - 8
2:20 Example 2: y=2x^2 -8x + 1
4:48 Example 3: y= -(1/2)x^2 - 4 + 3
Related Videos to Help You Succeed!:
Solving Equations by Completing the Square
• Completing the Square ...
Take Your Learning to the Next Level with Me!:
Subscribe to the Channel
bit.ly/Subscrib...
Get my Learn Algebra 2 Video Course (Preview 13 free video lessons & learn more)
mariosmathtuto...
Learn Algebra 1 Video Course
mariosmathtuto...
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
mariosmathtuto...
* Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
www.mariosmath...
Support Mario on Patreon here: / mariosmathtutoring

[@adnkir1234]

What I like most about your teaching method is that during the lesson you point out where students often make mistakes (and I do make these mistakes all the time) and it helps a lot to know. Thanks.

[@MariosMathTutoring]

Thanks for pointing that out.

[@scotteyfox]

I always breath a sigh of relief when I'm stuck and come to UA-cam and see that you have a video of the subject that I'm looking for. Thank you again!

[@TheDemopan3]

Damn, you saved me countless times. Thank you

[@MariosMathTutoring]

Glad to hear my videos are helping you!

[@mischievement]

Well Mario, you've done it again.

[@maybe.6226]

This ones is very easy to understand, and makes the work more simpler.

[@colombianese1]

Thank you Mario! You are a life saver! Literally. I have a better chance of passing my PTA gen-ed math class cuz of you!

[@ethanyang539]

Oh my goodness. This saved me again. Your videos never fail me. Thank you so much.

[@flare3800]

may the gods bless you sir.

[@RP-lq7lq]

I was stressing for a big test coming up and this was a big concept I did not get. Now I completely understand. Thanks!

[@ssmartyy]

Thanks Mario keep up the good work.

[@MariosMathTutoring]

You’re welcome!

[@jacobnlisha]

Thank you from a parent working on Math homework at 11pm. This was the fix

[@kamaraist]

We are doing a Clep exam and your videos help me so much, I was failing my class but your videos truly do help me.

[@mariadelgado4393]

Thank you, Mario. Great tricks!

[@ny7690]

Excellent!

[@Ahtohallan.]

Happy Chinese new year

[@HapiiSamii]

much appreciated

[@anchovies718]

God bless you man
You saved my math test

[@aram5642]

Mario is pure gold. This channel could as well be named noBsMath

[@notaflower1635]

Who else ended here due to lockdown?

[@TheLemonMasterYT]

like my reply if you DIDNT

[@thechabala1993]

Thanks Mario.
I aced my Maths final exams.

[@MariosMathTutoring]

Awesome! Great job Chuma!

[@barsaa._.]

LOVE YOU!!! MARIO OMFGG I MASTERED CONVERTING TO VERTEX FORM !!!!!!

[@LeslieJeniece17]

Thank you Mario!!!!!!

[@mirraaa.w]

Thank you!!

[@alphaomega1374]

excuse me sir is it ok if i write f(x) as Y in a quadratic function?

[@lux6290]

its the same thing

[@rodinogamer5232]

The people who put thumbs down liked this video so much they flipped their screen upside down to thumbs up again.

[@calixjr3384]

can i ask how if the question is f(x)=x2-2x-2 how do i factor (x2-2x)2 2 cannot be factored

[@calixjr3384]

i wish you reply to my comment

[@yusufkaya1393]

hi sir can we also do it by instead of completing the square using x cordinate of the vertex formula plug it into function and get y cordinate of the vertex and plug those values into y=a(x-h)^2+k ???

[@ellastandley2719]

I am stuck. My equation is f(x)=3x^2+18x+21
So have to divide 18 by 2 which gives me 9 and then I have to divide that by 2 and then square that but I get a decimal. I dont know how to go about that, if anyone could help me that would be great.

[@MariosMathTutoring]

Ella...first step subtract 21 to other side of equation. 2nd step factor out 3. 3rd step complete the square by taking half of 6 and squaring it. 4th step add not 9 but 27 to the other side (3 times 9)....hope that gets you started...

[@menix9514]

At the end of example 3, what happened to the +16

[@kayanna1677]

I have a test in 5 minutes LMAOAOAO im so fucked.

[@itsmenala9087]

What ended up happening

[@kayanna1677]

@@itsmenala9087 considering i did this two years ago and i was in algebra 1, i just recently passed algebra 2 with a 91. so i think i passed LOL

[@lux6290]

what if the equation is x=-(y-4)(y-1)?

[@probablykillua4680]

5:30 i’m still confused on how he got +8x right here

[@johndenver2356]

-4x divide by -1/2 = 8x

[@Ahtohallan.]

I’m crying. Maths is hard. I’m tired.
Edit (1 day later..): Omg thank you very much I finally understood this, thank you I love you

[@josephmatane950]

What happened to 16

[@gursimar10]

u shouldve done an example where the x is negative

[@jordanriley7158]

This DID NOT help.

[@MariosMathTutoring]

What part was not helpful? Maybe I can direct you to another video that I have that is more along the lines of what you are looking for?