Graphing a quadratic with multiple transformations

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👉 Learn how to graph quadratic equations in vertex form. 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 and the transformations. 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. The transformation can be a vertical/horizontal shift, a stretch/compression or a refection.
Given a quadratic equation in the vertex form i.e. y = a(x - h)^2 + k, the vertex of the parabola formed by the equation is given by (h, k). Knowing the vertex of the graph and the parent graph, we can then apply the required transformation to obtain the required graph.
'h' in the vertex signifies the number of units left or right the the graph of the quadratic equation is shifted. 'k' in the vertex signifies the number of units up or down the the graph of the quadratic equation is shifted.
Timestamps:
0:00 Intro
2:00 Start of Problem
Corrections:
3:37 I mistakenly said the wrong answer: -27 plus 4 is -23 not -21
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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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Опубликовано:

27 июл 2024

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Комментарии : 122

@wuznab5109 5 лет назад

Something about sitting in a desk with 30+ people and a teacher shoving stuff in your mind, just doesn’t work. But somehow being on your bed drinking some star bucks watching a 10 minute video works.

@brianmclogan 5 лет назад

haha love it

@arnavkaul6867 3 года назад

Holy man I wish I had a teacher like you, so calm and breaks everything down so simply

@alexfarmer1113 2 года назад

Couldn’t have stayed it better!

@angrjones 2 года назад

@@alexfarmer1113 same!

@deadaccount2589 6 лет назад

you explained something in seconds that my teacher couldn't make me understand after explaining it 50 times. I'm definitely going to be using your videos from now on.

@brianmclogan 6 лет назад

awesome! happy to be able to help you out!

@b.r.u.hb.r.u.h5360 3 года назад

You just didn’t listen lol

@jacobgordyn 3 года назад

@@b.r.u.hb.r.u.h5360 you're on this video because you didn't either lmao

@Joel-rtn 3 года назад

I have my Algebra 1 EOC in 2 hours, you've literally taught me how to understand parabolas in 30 mins. We've been studying this for 2 months and mt teacher still hasn't been able to explain it properly, the other day she told us out of 40 of her students, 11 are failing. I'd kill to have a teacher as good as you, thank you for everything you've taught us

@becasartori4186 5 лет назад

After three weeks of going through this module I was finally able to learn and understand the day before my test. You saved my grade.

@thatrecord5313 6 лет назад

This teacher is far better than my teacher today! Thank you very much!

@brianmclogan 6 лет назад

you are very welcome!

@readyaimfire3454 5 лет назад

It's funny cause my teacher explained this all to me like 3 times, but I took in nothing. Somehow watching this video in the comfort of my room helped me absorb every detail lol. Thanks so much!

@randomroze9699 3 года назад

You just saved my life! My teacher was so chaotic while teaching us this and I was lost the entire time. Thank you so much!👍

@jakeschuberg4705 3 года назад

sheesh

@haydeeholliday8866 2 года назад

The explanation of -3 was spot on, thanks!!!

@brianmclogan 2 года назад

Happy to help Haydee

@Karen-tt3dt 5 лет назад

just learned what was taught in 20 minutes in only 5 minutes! Thank You!!

@sinzsuperior9841 3 года назад

After being confuses for a whole week, I watched this video and realised that this was so easy. Now i just need to memorize the transformations

@MikeMike-yc8gg 4 года назад

Love your videos , I've always sucked at mathematics and having teachers who over complicate things doesn't help , man your such a blessing...and further prove that with an awesome and patient teacher. ANYBODY can learn ANYTHING .Thank you for being such an essential part of my Journey of Conquering Mathematics!

@CarsynKoenig 2 года назад

You are such a good teacher I’m going to start watching your lessons before my teacher teaches me

@kelvinle9087 8 лет назад

I think u wrong because -27+4=-23 but u said -21:))

@brianmclogan 8 лет назад

+Khoa Le thank you for letting me know

@elyanasweety6525 5 лет назад

Yeah you’re right because -27 +4 =-23

@zekiseid8965 5 лет назад

I was so confused..like what the heck where did he gt that -21 🤭🤭

@ritabos7162 3 года назад

Why the condescending ass tone? relax yourself

@amiliarek7521 3 года назад

@Jerry White sameeee

@kathleenfuchik3779 2 года назад

You’re a literal angle on earth. Thank you for making math so easy

@cindymunera 4 года назад

Very useful! Thank you so much! I love your channel and I use it frequently. Thumbs up!

@Danny-of3sz 2 года назад

I got lost at the end lol, but this is the video I was looking for so I will keep rewatching. Thanks!!

@kristinnormanton7634 5 лет назад

I'm from a completely different country and my teacher could never explain this to me as well as you have !!!

@aurun5011 4 года назад

Unicorn Normy your from the us he’s from Canada

@suziemarietoller5845 4 года назад

Unicorn Normy That’s because math’s a universal language

@ImBurb Год назад

10 years later but still super helpful.

@cheekscheeks6202 Год назад

Thank you , your helping millions of people across the world .

@ella7177 2 года назад

thank you so much for this video! i was seriously struggling to understand how reflections, shrinks, and stretches worked but you explained it in such a perfectly simple way! i feel like i did really well on my test.

@josh9425 5 лет назад

thank you very helpful ❤️

@erickavirgile7809 2 года назад

Thank you, it was very very helpful, hope that you are continuing to teach.

@trevorgoodman41 Год назад

10 years late, but this information still rings true, thank you for the guidance!

@brucejohnson5786 3 года назад

thank you for teaching me your ways

@YourBoySuli 2 года назад

Thanksss soo muchh! I was goiing to have a test the next day and I had no idea how to do this because my teacher explained it so poorly, now I understand it! Thanks! Life saverr!

@VsroYT 5 лет назад

I LOVE YOU SO MUCH I got that q on the test but we have till tomorrow to fix it

@ROYALSPELLS 6 лет назад

I couldn’t understand it when we were learning it during class and I was worried because we had a quiz soon. Thank you so much for explaining it clearly it really helped me finally understand it!

@brianmclogan 6 лет назад

you are very welcome! happy to be able to help you out!

@will45812 5 лет назад

I have a quiz tommorow and I couldn't understand it too.

@confidential8371 2 года назад

This guy just did what my teacher couldn’t do.

@brianmclogan 2 года назад

🙌🙌🙌

@rakanalkhalifa9551 2 года назад

@@brianmclogan u made a mistake it should be -23 not -21

@berserk1864 5 лет назад

Спасибо, всё очень понятно хоть я не так хорошо знаю английский

@augustayarteh7524 4 года назад

Aw. Brave explanation professor

@dennissanchez5171 5 лет назад

This is great, thank you so much!

@jakelevine2802 4 года назад

My teacher sucks so literally these videos are life savers 👍👍

@nicoledasilva3128 5 лет назад

thank you so much!

@brianmclogan 5 лет назад

you are very welcome Nicole!

@zairii9393 3 года назад

Is it possible to graph a cubic function with just two points? Those points being only an x intercept and y intercept? I'm using the equation f(x)=a(x-h)^3+(x-h)^2+k but it's not working out no matter how I do it. My tutor just plugged in random numbers into a calculator, but I have to explain how I got those numbers. :/ I don't just need the answer, I need the why.

@BOWLDEMON 4 года назад

I just heard him say fuck it

@drugsforhugs7106 2 года назад

This guy is the Chuck Liddell of mathematics.

@serinityschell7240 5 лет назад

Does it matter what point we put into the equation ??

@dbjmk8083 5 лет назад

If someone asks you to describe the transformation how would you word what happens to the a value at -3?

@Rose-lz2et 5 лет назад

horizontal shift to the left by 3 units

@ismaeltp388 3 года назад

What would happen with our graphic if we delete the first "-3"??

@overwatchnoob8540 4 года назад

thanks

@batyrn 5 лет назад

This explanation is somewhat axiomatic, i.e. not entirely self-contained. Upon reflection, it's pretty clear why '-3' as a multiplier makes the graph downward sloping and why the vertex is at x=-3 (with y=4). Once the set up is clarified and the drivers are identified this lecture comes together and becomes easy to comprehend.

@Endersent_ 9 месяцев назад

wut

@kpaulgagnon5956 Год назад

Correction: -27+4=-23, NOT -21. But great job teaching

@apanaglima 4 года назад

7:12

@cheekscheeks6202 Год назад

We have a teacher calm like him at Morgan Park

@RandomThings-ut6or 4 года назад

i wish u were my math teacher

@azrielsshadowsinger 3 года назад

do you always substitute x = 0? or can it be any number

@durga2244 3 года назад

pretty sure it has to be 0

@rubberbund4443 3 года назад

How did he get the vertex?

@maryamalhumaidi 4 года назад

For which grade this lesson is?

@urmomcantcook 3 года назад

10th - 11th grade its alegabra 2

@carmelpule8493 Год назад

Write it in another form and it will all become very easy. (Y + 8) = 3( X + 4)^2 and look the value of X and Y that would make what is in the brackets equal to zero, hence Y=--8 and X= --4 (Y --5) = (1/2)( X --3)^2 and look the value of X and Y that would make what is in the brackets equal to zero, hence Y= +5 and X= +3

@herminiotorneajr.7294 6 лет назад

equation of parabola example y^2=1/2(x=5)^2 answer how to get the y=a(x+h)^2+k?????

@brianmclogan 6 лет назад

that is not an equation of a parabola, but a hyperbola

@mariniecatibog1218 3 года назад

How to graph y=3(x-3)²+1 and y=3(x+3)²-1

@mohamedadan5638 5 лет назад

You are a genius I hope people around the world will respect you as a smart math teacher

@mohamedadan5638 5 лет назад

Like if you agree

@taejin2648 5 лет назад

Why only times 3?

@trishpaytas2773 4 года назад

how do i still not understand.... i have a small brain i stg

@urmomcantcook 3 года назад

i was with him until the y intercept part lmao, i got lost after that

@amiliarek7521 3 года назад

Uhhh 3:32. -27+4=-21 whatttt!?😳

@elise7566 3 года назад

thats what I thought....

@kfjfkeofitorhf9520 Год назад

--27++4==---23

@stewartkalles9521 2 года назад

Hey professor isn't negative 27+4=-23?

@kfjfkeofitorhf9520 Год назад

27++(--4)==--23

@enriqueviolador3156 4 месяца назад

27-4=21 😂 BRAVOOOO

@chanelhall1504 3 года назад

I don't get why he went down by 12, where did he get the 3x4 from? Sorry I'm probably just being dumb :)

@chanelhall1504 3 года назад

ohhh nvm i figured it out XD

@gradhd4359 2 года назад

april 25 2022

@jakeschuberg4705 3 года назад

bru be my math teacher, please!

@sreemanth9995 4 года назад

-27+4 is not -21

@torigrant7864 4 года назад

It was just a simple mistake😊👍

@maulin_ballin5420 3 года назад

It is negative 23 and not negative 21.

@LighthouseFilmStudio 10 месяцев назад

-27+4 in not 21, it's -23

@bigbungas1132 Год назад

-27+4 is -23

@declave1317 2 года назад

-23

@shahriyarsafdar6431 4 года назад

The graph of y = -3 (x+5)^2 +10 is downward but how

@han.splash9648 3 года назад

The 3 outside the brackets in negative, which means it is reflected.

@superjalenentertainmentsys1543 5 лет назад

You said the f word 😄

@brianmclogan 5 лет назад

when?

@superjalenentertainmentsys1543 5 лет назад

oh never mind you said all good at 0:12 I thought you said f it but I didn't here good so okay

@Mist_R 5 лет назад

lmao

@jake405 5 лет назад

I coulda swore he said fuck it too 😂

@zekiseid8965 5 лет назад

People complaining about their teachers 🙄🙄🙄...its not about teachers, all teachers are same, but depends on you sometimes people enjoy being alone and study alone