Learn how to find the vertex of a parabola
👉 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.
👏SUBSCRIBE to my channel here: kzread.info...
❤️Support my channel by becoming a member: / @brianmclogan
🙋♂️Have questions? Ask here: forms.gle/dfR9HbCu6qpWbJdo7
🎉Follow the Community: / mrbrianmclogan
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...
🗂️ Organized playlists by classes here: / mrbrianmclogan
🌐 My Website - www.freemathvideos.com
🎯Survive Math Class Checklist: Ten Steps to a Better Year: www.brianmclogan.com/email-ca...
Connect with me:
⚡️Facebook - / freemathvideos
⚡️Instagram - / brianmclogan
⚡️Twitter - / mrbrianmclogan
⚡️Linkedin - / brian-mclogan-16b43623
👨🏫 Current Courses on Udemy: www.udemy.com/user/brianmclog...
👨👩👧👧 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/
#GraphQuadratics #QuadraticFunctions #BrianMclogan
Пікірлер: 281
This made me feel dumber than I thought I was
@Sofia-ds6ml
5 жыл бұрын
I'm sayinnn. smh.
@bobbyballard9768
4 жыл бұрын
3 3 2007
@brianfuentes4018
Жыл бұрын
Real
@aliciacaldwell6145
9 ай бұрын
1:43 😂😂 I agree and I’m not even half way through the video🤦🏾♀️
This guy taught me more in 6 minutes during the test than my teacher did In 2 days
@battleofthelegos7196
2 жыл бұрын
During the test..? 🤔 lol
For anyone confused, here is another way To start off, if it's in vertex form, you can just watch the end of the video, but if it's in standard form, then get the "a" and "b" from "ax^2+bx+c=y" and plug it inside the equation "-b/2a." Then that will get you the "x" point of the vertex, then all you have to do is plug the "x" inside the equation to find the "y". Then you're all set. if you are going to graph it, keep reading, this method is easy. Let's say the vertex is (-1,7), then once you plot it on the graph, find another "x" point, one that is larger than the "x" point of the vertex, and one that is smaller. Then you do the same thing and plug the "x" points into the formula to get the "y". Once that is done, plug them in and connect the dots!
@dochkadoll
4 жыл бұрын
its a dam THANK U so much easier
@cosmo8771
4 жыл бұрын
Yeah this is what I do to, math is so subjective.
@franciscomelendez5424
4 жыл бұрын
@HowTho Thx soooooo much 4 helping me out
@loghan4129
4 жыл бұрын
HowTho I’m gonna fail my test because this topic makes no sense
@andrewfoote8509
3 жыл бұрын
Thank you so damn much!! I feel like I’m gonna pass my test now, props to you!
Am I the only person who said wait when he erased the board
@reddeath6641
4 жыл бұрын
No xD
@mademoiselleria1412
4 жыл бұрын
No lmho
@cefb8923
3 жыл бұрын
Genuinely laughed. Thanks.
@markcell8303
3 жыл бұрын
Hahhahaha
@Lavasquid7800
3 жыл бұрын
Yess u are
i have gotten 0% on all of my math stuff ever since we started quadratic functions
@benjamin5828
3 жыл бұрын
👁👄👁
@muiiriss_
3 жыл бұрын
@@benjamin5828 ✊🏼👁👄👁✊🏼
@shapesandlines7106
3 жыл бұрын
Literally same 🤩😍😍🥰
@muiiriss_
3 жыл бұрын
@@shapesandlines7106 HAHAHAH TWINS
@celeste2221
3 жыл бұрын
@@muiiriss_ Triplets 🥰🥰
This made me struggle even more 👁👄👁
THANK YOU, SIR. I've been sitting in my math class confused and your video cleaned things up completely. I wish that you were my teacher 😅
@brianmclogan
6 жыл бұрын
happy to help, I am just online
@sylvie1276
6 жыл бұрын
Tbh! I had a math test and I probably got a terrible grade.. after the test I looked this up and I completely got it... I really need this guy as my teacher...
So damn confusing
@jaheimpenn3113
4 жыл бұрын
no it's not you idiot
@michaelrobertson8738
4 жыл бұрын
jaheim penn yo stfu. Like no one asked for your fucking opinion.
@chandlerpatterson698
4 жыл бұрын
jaheim penn f u bro
@jaheimpenn3113
4 жыл бұрын
@@chandlerpatterson698 no you son
@jaheimpenn3113
4 жыл бұрын
@@michaelrobertson8738 ugly
Teacher you're complicating things thats bad for a student for me dont factor just do it simple with derivative or -b/2a thing
@brianmclogan
7 жыл бұрын
I understand by the content of this lesson was in Algebra 2 for completing the square, so using the derivative or -b/2a was not the purpose of the lesson but very useful
@55inchSamsungTV
6 жыл бұрын
This is how we learned it in my algebra 2 class. For some reason it still confused me till I watched this video.
@sofiapasquale4770
6 жыл бұрын
i think this thing is easier but most people hate completing the square but i like it for finding vertex form im in Algebra 1
@joanlynch5271
5 жыл бұрын
It is supposed to be finding the vertex, not completing the square.
@jaheimpenn3113
4 жыл бұрын
Çlirim Murati He can't. because he tried his best to teach us better before we go to collage so show him some respect you idiot brain.
This is midterm prep at its finest. Thanks!!
Thank for this, we had a lot of snow and didn’t have enough time to cover up all of vertex form Your a lifesaver
@brianmclogan
6 жыл бұрын
you are very welcome! Where are you getting more snow?
@cdaffpunk1064
2 жыл бұрын
@@brianmclogan Your mom, hahahaha.
Absolutely Brilliant! Thank you...
@bobbyballard9768
4 жыл бұрын
03 03 2007
That was an awesome lecture! Thank you.
U saved my life sir. The b/2 square actually helps
thanks for the help, feel like I️ have 2 professors now 🤘🏽
@brianmclogan
6 жыл бұрын
you are very welcome! and i am very happy to be able to help you out!
Does it have to be a perfect square trinomial to find the vertex or is this a special case? The problem I'm dealing with doesn't seem to be
Thank you brian!
(b/2) ^2 !!!! It helps a lot. Thanks Sir!!
Extremely helpful, thank you
tks. in my country teacher didn't teach student how -b/2a work! you help me alot
Very good teaching 🙈✨
Thanks so much lots of help
@brianmclogan
6 жыл бұрын
you are very welcome! happy to help
PLz if u could explain when to/not change the signs of (h,k)I'm about confused while doing it
You're a life saver. My instructor is way way harder to follow.
@bobbyballard9768
4 жыл бұрын
Didn't say that
Very helpful!!!
@jaheimpenn3113
4 жыл бұрын
remove this 5ty clown face boy for i'll smack you
Brian, I want to thank you for your videos. If it weren't for you, I wouldn't have succeeded in my college algebra class this semester.
@hmongb9656
4 жыл бұрын
Im in high school why the fuck am i learning this in high school
@padubaba4774
4 жыл бұрын
Aarin Hawj I’m in middle school I’m learning this 😂
@alectro2505
2 жыл бұрын
@@hmongb9656 Same broooo. My dad has this idea im a super genius so he keeps trying to enroll me in classes I dont want to take and gets mad when I fail them. All I want to do is play soccer really.
@Fa11_Music
Жыл бұрын
@Alectro I'd try to ask him to stop. Letting your father know the things you want for school could really help
im like so close to not even trying for my eoc cause covid screwed everything up and i literally cheated through school for the past year and a half. Theres no way i could ever learn through online school so R.I.P. dream job
@QuartBernstein311
3 жыл бұрын
i have to reteach all this bullshit to my kid whose done the same for the last year, and i'm wondering why i'm learning it having flashbacks from 15 years ago. Words problems are lame and uninteresting like throwing a marker for a friend to catch in how many seconds. Why not give me a vertex for how long I need to shoot my mortar shell to annihilate my enemy or how high will i go if i shoot myself out of a canon. My school is using a teachers aide to show the class, and now they are all just listening to youtube in e-class. these teachers need to engage these students one on one in personal time to see if they are stuck, or where else are all my property taxes going but the teachers unions to continue enforcing low quality education that leads to students burning out, checking out, and parents getting frustrated, like me, going through the same motions as their kids, picking up the pieces and consulting free youtubeschool.
@NaraNom
Ай бұрын
@@QuartBernstein311my math teacher failed me because he was so ass at his job and he fucking sucked at teaching and now I have to do summer school it’s literally hell because I have ADHD and already struggled in a controlled environment, and I’m struggling even more currently. I tried so hard during the school year this year but he barely put in any effort as a teacher, which resulted in me falling behind and I ended up failing….
I think I’m mentally slow
@yodelingshrimp8316
4 жыл бұрын
same
@Pablo_Martin_aa
3 жыл бұрын
Same
confused at 3:40, in another one of your videos, the b/2^2 term is added to the inside and the outside in order to balance this equation. this time you are multiplying the b/2^2 term by the coefficient... not sure which way is correct, can you help please? thanks for the video
@brianmclogan
6 жыл бұрын
since the parenthesis are being multiplied by a negative 1 I have to multiply the other term outside of the parenthesis by a negative 1 to keep the equation balanced ex 3(x+1) does not equal 3x+1 but 3(x+1)=3x+1(3)
Helped me get a b on my final.
The only thing I figured out was my education is lacking
Sir We can determine co ordinates of the vertex by differentiating --x^2+2x+5 and equating it to zero .This gives the x co ordinate of the vertex. y co ordinate can be obtained by putting this value in the quadratic function .DrRahul Rohtak Haryana India
thanks for helping
Very good explanation!
@brianmclogan
10 жыл бұрын
thank you very much! happy to help
@bobbyballard9768
4 жыл бұрын
Passed
Your videos are awesome.
@brianmclogan
6 жыл бұрын
thank you! happy to help
thanks dude
@marykathryncs
5 жыл бұрын
no problemo
Why am I even here? I was looking of art of war 3 lol
but what do u do for the very last step when u get a radical
@brianmclogan
9 жыл бұрын
Kevin Stirrat just estimate it using a calculator if needed to graph however algebraically that is the preferred answer
@kevinstirrat4654
9 жыл бұрын
thank you
@bobbyballard9768
4 жыл бұрын
Saved
I'm getting super confused at 3:28. why does he rewrite it as a binomial squared -(x-1)^2? what happened to the -2x?????
@brianmclogan
6 жыл бұрын
I factored it x^2-2x+1=(x-1)(x-1)=(x-1)^2
@marcapeca1
6 жыл бұрын
oh wow. Didn't see that lol THank you!!
@brianmclogan
6 жыл бұрын
bam you are very welcome!
Hey I have a question. For the vertex part you said to do the opposites. Isn’t it (1,-6) not (1,6)?....PLEASE respond I have an exam tomorrow.
@brianmclogan
6 жыл бұрын
no the formula is (x-h)^2+k or can be written as (x+(-h))^2+k so h is opposite only not k. (1,6) is correct
@nathanielvargas8313
6 жыл бұрын
Thank you Mr. Mclogan
@brianmclogan
6 жыл бұрын
you are very welcome!
i dont know if you actually check these comments still, but on one of your videos doing this you only subtracted from the end what you added in the middle (in this case the +1) but in this one you also subtracted it and then multiplied it at the end. i am so lost as to the difference in videos (both yours) if not for your videos there is no way I could be skimming through Algebra 1111 this summer and I thank you for all your time and effort for strangers like me crying themselves to sleep over math, but I am super lost on this one. I thought I had this mastered thanks to your other video and this one just undid that :/
Came in serious clutch
Best teacher ever!!
want to know if Mr.McLogan does one on one tutoring
I have a question for the solving part when you were finding the x-intercepts is there another way to do it? and also why did u make the equation equal to zero ? I'm a bit confused but the first part I got it
@brianmclogan
6 жыл бұрын
the x-intercepts occur when y=0 so we replace f(x) or y with zero and then find the values of x that make that true. That help?
Sir u r awesome. Great teaching style. But I have still confusions that how to find the vertex for this..... x2+10
@ryan_the_overlord
4 жыл бұрын
Solve it like f(x)=x2+0x+10
@bobbyballard9768
4 жыл бұрын
Ready to go to bed
@babuinayat4623
4 жыл бұрын
@@bobbyballard9768 🤣😂😜 OK bro
does this work with higher power polynomials?
I have a question When you said that when it's minus H in the vertex formula you change it to h positive what if it is already positive inside, and the K is negative will it stay negative or will it be positive For example 2(x+2.5)^2-20.5 Will the vertex be 2.5,-20.5)? Thanks
@brianmclogan
6 жыл бұрын
(x- -a)=(x+a)
If we are given three points through which the parabola passed then how to find out which one is vertex? Please help
Is he pretending to teach a class because I keep seeing him look out to the desks which I am pretty sure are empty???
@brianmclogan
6 жыл бұрын
haha no, it is a real class
@bossyniyy8492
5 жыл бұрын
oh my gosh! I was saying the same thing then someone asked a question lmao
@HasibYouTube
4 жыл бұрын
Damn his class is quite
@jaheimpenn3113
4 жыл бұрын
@@HasibKZread you got a problem son
@HasibYouTube
4 жыл бұрын
@@jaheimpenn3113 LETS SOLVE THE PRB LIL BOY
Thank you so much i have finals tomorrow and, help me so much today.
@christhegamer1015
4 жыл бұрын
how'd u do?
@fashionsuckman4652
3 жыл бұрын
Yo how'd you do on the test?
I got a test on this in a few hours, wish me luck!
@christhegamer1015
4 жыл бұрын
How'd you do?
@soulstitches9900
4 жыл бұрын
@@christhegamer1015 Well...I got a passing grade so that's cool😝
What if the professor gave me the table and it ask me to find the vertex, y intercept and x-intercept. Do i do it the same way as you?
@brianmclogan
8 жыл бұрын
+Jorge Cobos yes you can
nice
@brianmclogan
6 жыл бұрын
thank you!
So i'm doing this math course online and it is a terrible way to learn but i want to be in advanced so i kinda have to do it, but how you had positive 1 and in the next line you had negative one. i followed all of your steps so hopefully i get it right.
@brianmclogan
9 жыл бұрын
Caitlyn Wilson best of luck, let me know if there is anything I can do this year to help you out.
4:54 So the center of a circle is≈ to the vertex
Brazil 🇧🇷
I laughed through the whole damn video XD. -b/2a is the formula everyone...
@Eleanor11040
5 жыл бұрын
then substitute to the Function to find the k HAHAHAHAAHHAA this teacher though...😂
@drinfested
4 жыл бұрын
@@Eleanor11040 The majority of his videos are pretty badass. This one is the only confusing one I've seen of his.
@jaheimpenn3113
4 жыл бұрын
@@drinfested do me a 4ing favor are you smart
@bobbyballard9768
4 жыл бұрын
Just had to say he you ate so famous
What happens when there's no bx there?
@brianmclogan
8 жыл бұрын
example?
@zariawinter4725
8 жыл бұрын
Mr. McLogan's Math Channel f(x)= -7x-49
@clirimmurati7171
7 жыл бұрын
that is a slope not a parabola y=mx + b m=rise/run
If you were confused at first like me and got a different Y; you're doing it wrong: -x^2 Is really: -1(1)^2 [The 1 in parenthesis being the X value we found in this problem he presented] Remember that a variable without anything in front of it is multiplied by 1. So -x^2 is not positive 1 (the square of two negatives). It's -1 multiplied by 1^2, which equals negative 1. The solve the rest by plugging in the X value you found for the rest of the problem. I was dumb and didn't account for the "multiplied by 1" situation.
Wow i only know - + times and thats it cause im only 9 wow thats sooo hard
He looks like Mr. Clean
@brianmclogan
6 жыл бұрын
😀
Hello mr. Brian mclogan are u some sort of college teacher or something?
Why wouldn’t you just do -(X-1)^2, then add the missing value which is 6? That will give you vertex without all of the other steps
What was that in the beginning Lol
@brianmclogan
6 жыл бұрын
not sure, real classroom
@rzl4359
6 жыл бұрын
I actually really enjoy you as a youtuber, very responsive to the community, and amazing teacher. Thank you for the help and effort ! :)
@brianmclogan
6 жыл бұрын
you are most welcome! happy to be able to help
Who else is being distracted from his class by reading the comments?
👍👍👍
Why can’t you just do -b/2a and plug in x for y? Is this more advanced?
Thanks for dis sir
@brianmclogan
2 жыл бұрын
You are very welcome
Thankyou sir
confused at 3:28
@markvincentfirmalino3457
5 жыл бұрын
ur exactly right!!!!the teacher forgot to explain well why he ended up putting minus 1 then multiply by -1..what???
Sir I have a question....In our book its written that the vertex is equal to (-b÷2a , c-b2÷4a) I really dont undetstand whats the c-b2÷4a for?
@brianmclogan
6 жыл бұрын
ax^2+bx+c
@Xx-qp6gd
6 жыл бұрын
Brian McLogan Thank you sir!!!☺
Or just find the axis of symmetry which will give you the x coordinate of the vertex then use it to find y.
made it longer & difficult seems like
@bobbyballard9768
4 жыл бұрын
Did say that
can I borrow your brain sir?? I just need to finish my module for math
i don’t plan on using this later on so can i just skip the lesson?
if we do -b/2a we get (1,8)
@brianmclogan
5 жыл бұрын
when you plug 1 in for x you get 6 so (1,6)
@DelawareBrooks
5 жыл бұрын
You get (1,6) F(x)=-x^2+2x+5 When doing x=-b/2a when you input the variables it becomes ×=-2/2(-1) or x=-2/-2. A negative times a negative is a positive so x=1 Inputing that into the equation you get f(x)=-1^2+2+5 f(x)=-1+2+5 f(x)=6 So (1,6) is the answer.
@eyos9562
3 жыл бұрын
when you input 1 in f(x)=-1^2+2+5 the -1 will be squared and become +1 f(x)= 1+2+5 f(×)=8 (1,8)
@Skyverb
Жыл бұрын
@@eyos9562 This. I saw another vid that helped alot. But it clashes with this one as I got a different answer for Y.
You’re so much better than my teacher!!
@brianmclogan
6 жыл бұрын
happy to be able to help you out!
Is it normal for a freshman in high school to do this?
I thought he was going to start a rap
@bobbyballard9768
4 жыл бұрын
Thank
That -1 explanation was shady, That don't make no sense
@bobbyballard9768
4 жыл бұрын
By faith you are faithful
I PASSED
bruh you cant factor -1 out from only two of the three numbers. you have to do all three
What grade is this for
@jaheimpenn3113
4 жыл бұрын
7 ^ mind your own dang business
WHY IS MATH SO HARD 😞
Is it just me or Brian looks like Randy Ortan
@jaheimpenn3113
4 жыл бұрын
Terry Shi where's your proof son. got no proof and that is a slander & you can be taken to court for this son.
even more confused now lol
I’m learning Algebra 2 on my phone in my Algebra 1 class
This is wrong its (-b/2a)
@bobbyballard9768
4 жыл бұрын
Pregnant
Ako lang ba yung napadpad na stem dito? HAYYS
Randy Ortan teaching Math🙄🙄😅😅😂😂
2:18 ARGHHHHHHHHHHH
Gj
Someone donate a brain that includes an IQ of 10000
Confusing as helllll
@jaheimpenn3113
4 жыл бұрын
then get a life you nappy bed.
I've watched a few of your videos, and sometimes they're okay, but sometimes you do this thing where you drop an equation in there, and don't explain why, or what it does. Why do you divide b by two and then square it? is it always b/2^2? where did the -5 go? There's little explanation here. Just some food for thought.
This example is not good because you're using 1. I would like to see one where you're squaring a different number to see what happens.
much confusing and complicated, its good if its the only way to solve if not , than the worst :)
@brianmclogan
6 жыл бұрын
yes I would not do that way if given options but that was the point of the lecture, eventually students can decide
@bobbyballard9768
4 жыл бұрын
Just followed
This guy assumes people know all the terms and doesn’t explain the mistakes he writes and erases on the board. He just erases it and rewrites it. Making people scratch their heads. This “teacher” is the reason people don’t put effort into math and end up saying, “I’m just not good at Math.”
i have my exam tomorrow imma cry