How to Find the Vertex of a Parabola (NancyPi)
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- เผยแพร่เมื่อ 14 พ.ค. 2018
- MIT grad explains how to find the vertex of a parabola. You can get the vertex from the parabola equation (standard form or vertex form). To skip ahead: 1) For how to find the X-COORDINATE of the vertex point from a STANDARD FORM equation of a parabola (like y = -2x^2 + 4x + 1), skip to time 0:16. 2) For how to find the Y-COORDINATE of the vertex, skip to time 1:34. 3) For how to get the vertex point from VERTEX FORM instead [like y = 2(x - 1)^2 + 3], skip to 2:24. 4) For what to do if the signs are confusing (ex. if the equation has X PLUS A NUMBER instead of x minus, like in y = 2(x + 3)^2 + 4), skip to 3:34. Nancy formerly of MathBFF explains the steps.
For my video on COMPLETING THE SQUARE for a quadratic polynomial, jump to: • How to Solve By Comple...
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HOW TO FIND VERTEX:
How you find the vertex depends on whether the equation you're given is in "standard form" or "vertex form". How do you know if your problem is vertex or standard form? Each one has a very different form.
What is standard form? The STANDARD FORM equation is a quadratic polynomial and looks like y = ax^2 + bx + c without any parentheses (it has not been changed into another form by completing the square). If your equation looks like this, your vertex will be a point with an x-coordinate that is -b/(2a) where you can find a and b by comparing the standard form parabola formula to the equation you were given. Then, you can get the vertex y-coordinate by taking your original equation and plugging in the x-coordinate you found and simplifying until you've solved for y.
The VERTEX FORM is also a quadratic equation but is in the form y = a(x - h)^2 + k. It's easier and faster to find the vertex from the parabola vertex form, because the vertex is just the point (h,k) and h and k are values you can pull straight from the equation by matching the equation you were given with the vertex form formula that uses h and k. If your given quadratic equation has x plus a number, in parentheses, instead of minus a number, like y = 2(x + 3)^2, then you can rewrite the equation as subtraction of a number, like y = 2(x - (-3))^2, since adding 3 is the same as subtracting negative 3. This means that your h value will be negative 3.
Note: if you want to be able to convert your standard form into vertex form with a perfect square in your equation, you will need to "complete the square" first to get your parabola equation into vertex form.
On the graph of a quadratic function or parabola, the vertex is either the lowest point on the parabola (the minimum) if the parabola is opening up, or it is the highest point on the parabola (the maximum) if the parabola is opening down.
For more of my Algebra, Algebra 2, College Algebra, and Geometry math videos on quadratic functions and help with other mathematics topics, check out: nancypi.com
math test tomorrow and you put it in a very simple understandable version, others seem to do too much and i get lost in there reasoning. straight to the point
Forget her complete and easy way of explaining, she writes backwards, so nicely. My hero.
She writes forward and reverse/mirrors the video in the editing process. It appears she's left-handed, when she's actually right-handed.
Is she writing backwards? Because how can we see it perfectly but she is writing on the other side of glass?
Shmrnt • pretty sure she’s looking at a mirror
camera automatically flips it try at home
She probably wrote it normally and then flipped the video while editing
Rajeshwar Yadav if you flip it at home the voice flip it too
you guys complicate things too much. she writing backwards
You helped me pass trig and calc 1-2
Glad to see you back doing what your passionate about. And helping others
That was SUPER helpful. She explained each steps (right when I thought she'd skip it like everyone else), and the rationale behind it all. Putting it into greater visual context would have helped me understand the more important "why" + "how this works on a graph" though. Thanks :)
You helped me pass my first Calculus class! Glad to see you back in action! 💻🤓📖📚
this is algebra 1
@@itslongford Algebra is used in basic calculus and beyond; it's a necessary learning component. Good luck.
@@Pasperdu Learning calc but needs to check alg 1 basic? Good luck bro
@@tjdtns1984 Not everyone's story is the same. Wasn't lucky enough to learn as a child and had to catch up. Graduated University and am gainfully employed now though, thanks.
Bruh why my algebra 1 teacher teaching me this then???
I spent hours trying to find a video that makes math easier than it looks and she does just that! She is amazing! I literally watched 20 seconds of this video and found what I needed!
Thanks so much! You have such a calming way of explaining what otherwise seem like complex math problems.
You helped me a lot in my Calculus classes. So happy I am done with all my math classes.
Thank you Nancy
You've made my life so much easier throughout the years
We have missed you Nancy!! 😀
Thank you so much, my teacher has been explaining this for 2 days and no one understands it, including myself. I understood you in five minutes. Can’t wait to share this video with my friends!
Lisha López maths is easy when teacher is good. 😀
The cool thing is -b/2a is derived from the quadratic formula. Also you can get the discrimanant from + or - square root b^2-4ac.
Thank you forcoming back, I miss you! You are awesome!
Thank you for the new video! Although I am way past pre-calculus/calculus required fo me, mostly thanks to your excellent intuitive explanations, this video was a fantastic to renew my understanding of a concept(even though its not currently needed).
Will there be a structure to your videos uploads? Such as algebra, geometry, calculus, etc? Any plans on doing Linear Algebra videos by chance?
Watched several videos (some within my online text) and I still didn't get it until I watched this video. Thanks, gal!
Thank you so much!! Your videos are always super straightforward and helpful
I really wish I found you at the beginning of the year... I'm actually shedding a tear over here.
I received more useful information in the first 2 minutes of your video than the 300 videos I watch!!! Thank you!!!
I was just thrown into 9th grade math whilst in 8th grade right in the middle of the year. This was so helpful, thank you thank you thank you!
Thank you very much!! U r the best Math teacher I have ever come across!! Love u!!
We miss u.
We can make do with u-substitution...
A quien pueda importar .. my means only that - we miss Nancy .
NancyPi ... Great
@@UZAIRKHAN-pb5dl Mashra sta pake jenae khwakha shwa
@@user-gi8lt3tc8n I can't understand...
It's almost 12:30 AM in CA, but I don't care; Ima watch this!
IvanMTG1 wow we live in the same time zone awesome
Great seeing you again Nancy.
This video was super helpful. thanks! and keep up the awesome work!
Excellent Job Nancy. My daughter is doing academic math and this helps her a lot.
Your explanations and the handwritten notes are incredibly helpful. I do share Agasthya's question below, the one referencing the need for a negative in front of the 3 (in the value of h, as you explain at 04:15). Karlie and Napalm had discussed it a year ago and it seems a contrast to your explanation at 02:50, whereat you express the vertex as h-(-1), and that gives us the value of 1, but the 1 there was negative. I do see in Desmos that your answer is indeed (1,3) but I'm left wondering if that could be the result of squaring 2 numbers). Could you please clarify that so that I may use your guidance in our tutoring session. Thanks so much.
Keep crushing it #NancyPi !!! I use your videos whenever I get stuck on my math problems in 1,001 practice problems Algebra 2 for Dummies.
I love you Nancy. You're A Great Inspiration
I’m done with math for college but just wanted to watch this vid cuz she makes math seem so easy lolol
Same lol
Pervert
simp
haha I wish I was done with math
SIIIIIIIIMMP!!!
A very helpful video, I was stuck in my homework, now I can finish the final few questions of the chapter.
Awesome video and many thanks for your efforts!
You made it look so easy, thank you so much 💞
Wooooooooo. You came back. Very impressive amiga.
That was an awesome lecture. Thank you.
This video helped me much ! Thank you !
Thanks so much for the video, suddenly everything makes sense!
Hey this was a great lesson!! On finding the vertex form I can never remember on a test when the eqation has a positive sign that the number is negative!! thank for this video!! You explain it better than a college algebra book and your very pretty
you explained it soo well !!! thanks a lot.
Aw, thankyou so much it's been a year when u upload this video and it's very helpful uwu
This help me a lot for studying my SAT on parabola. Wish me luck on the SAT.
She's back!
Thanks for the end on the signs Nancy, really easy to miss if you didn't
YES. FINALLY.
oh thanks for explaining the last part. I've been going crazy trying to understand the signs for the vertex form and thats why my answers were wrong because I wasn't evaluating the negative sing..
Helped a lot! Thanks!
It took me a month before actually understanding about finding the h, because the negative sign ...this video is perfect thank you!
Thank you so much! This is the only video I understood(in math)
Where have you been? Looking to see more . Thank you . Great videos!
Thanks very much for helping us.
you literality just saved my damn dumb life, NancyPi. Thank God you were made.
THANK YOU THIS SIMPLFIED IT SO MUCH THANK YOU 🙏
Thank you so much I appreciate your explanation
so simple and nice, thank you
wow that is impressive XD and a really good way not to get bored out of explaining basic stuff that you already know jjeeje XD nice technique !! =)
Nancy, nice! Keep doing your job!
Thank you so much and love you ❤️.
I love your videos! Love from Mexico 🇲🇽
Thank you so much doing a test right now.
POV: You have a math assignment about finding the vertex or a parabola and you didn't have a clue what your teacher taught you
thank u so much u are an amazing person easy simple short , i respect how good y can teache math
Thank you. Helped so much!
That was very Informative
Thank u nancy, u r the best
Welcome back, dear Nancy ! I want to date you regularly ! On your TH-cam channel !!!
Very helpful , Thank you so much !!!!!
Oh I got it real quick now
Thank you!
you are a blessing i swear 💗💗💗💗
Nancy you are one hot math teacher! Thank you for making it so simple and easy!
Thank you very much for your help, its amazing the way you explain math i love it 💗🌹
How are you writing like that? This is awesome! You have earned yourself an extra subscriber!
you are the best ...thank you very much
My favorite vdeo of yours.
your voice is so calming and easy to listen to thank u sm ur also very pretty
She’s backkk
thanks for saving my life ily
The -b/2a expression is seen in the quadratic formula. Geometrically the x-coordinate of the vertex should be midway between the two zeros of the parabola (when they exist); the quadratic equation states this algebraically.
The vertex of a parabola happens when the first derivative is equal to zero.
y=ax^2+bx+c -> dy/dx = 2ax + b
set dy/dx equal to zero:
0 = 2ax + b
solve for x: x = -b/(2a
Will you please do a video on Probability ?
thank you , you really help me
This is gonna help me pass my finals🙏🏻
Thank you so much,wish you were my math teacher.
I watched Brian Mclogans video on this and by god did he make it 100 times harder than it needed to be
Nacy be saving my grade in math 😩✋
Thank you!
Do a video on Correlation analysis
Thank you so much!
Thank you! I answer several questions correctly
i have a question, so with the vertex form why wouldn’t you bring the negative sign over?
Karlie Ramirez
She explains this at 4:00. Basically a(x-h)^2+k is the standard form we want to view it in. When (x - h) is (x + h) that means “h” must be negative because (x - (-h)). Those negatives cancel each other out to become positive.
THANK YOU SO MUCH ❤️
Thank you so much!!☺️
Wow! You made finding the vertex stress free. Our math teacher gets irked that we can’t learn fast enough.
WOW!! great video
Looking forward to discrete math module when 2nd semester starts 24 August. Enjoy her lessons.
This lady is amazing. And yes the videos from 2006 are still great
omg i m so happy to get maths classes bavk😍😍😍😍😍
love from India 😍😍😍😍♥
Thank for this
you,r a cool teacher Nancy and hats off to you.And can i know the trick of writing backwards .I've asked you this a bunch of times.
Thank you much
Very nice explanation ,mam.
thank you soo much. i am a 15 year old student learning additional mathematics as an additional subject. i have been struggling to find this kind of answer