Parabola - How to find the coordinates of the vertex - Maximum & Minimum Points of a Quadratic

Learn how to find the coordinates of a parabola's vertex, that's is maximum or minimum point. The method, and formula, is shown with an example.
The idea is to start by calculating x coordinate of the vertex, using the formula x = -b/2a
Once we have the x coordinate, to find the y coordinate we plug the the x coordinate's value into the the parabola's equation and calculate y.

[@CA--NguyenTrieuMinh]

sooo great!!! thank you

[@RadfordMathematics]

Thanks for your comment Nguyen!
Really glad to hear/read that it helped 😁
See you soon on RadfordMathematics.com ✌️

[@narengsekepi3234]

Thank You it really help me understand more

[@skillzzez4924]

This helped me sooo much. I thought I would have to graph the whole parabola then using that to find the coordinates of the vertex, but this way is much easier. THANKYOU !!!

[@RadfordMathematics]

Thanks for taking the time to comment Suraj, I really appreciate it 😊
I’m truly glad this video helped!!!
Take good care ✌️

[@skillzzez4924]

@@RadfordMathematics You too! :)

[@davidking4849]

wow, this was easier than i thought, much relief. Thank you soo much.

[@blobbowo]

thanks. I was dumb and forgot that i just had to plug in the x value into the equation again :/

[@RadfordMathematics]

Thanks for your comment Blobbo, I really appreciate it 😊
Really glad this video helped!!!
Take good care ✌️

[@tomc7599]

Thank you! This is the best explanation of coordinates I have seen on UA-cam so far.

[@typziztic6297]

This is really well explained! This helped me alot for my homework! Thank you!

[@RadfordMathematics]

Thanks for taking the time to comment Kian! I’m truly glad it helped 😊
Take good care ✌️

[@verbalmochi2166]

Thanks .... this really helped for my GCE exams

[@RadfordMathematics]

Thanks for the comment 😊
I’m truly Truly glad it helped! Take care ✌️

[@faisalkhan-xw9nj]

Two thumbs up and hats off dear sir.
I'm surprised how easily u got this concept fit into my mind.
I really can't explain how upset I was relating to this concept.
Allah may bless u dear!!!

[@emmanueldatrick8428]

very easy to understand, you're a great teacher

[@nathanaelsliferecords6850]

A very useful and helpful video, thanks a lot!

[@aliergashev]

Thanks a lot mate. Helped me a lot 👍

[@RadfordMathematics]

Thanks for your comment 😊Really glad it helped ✌️

[@theyluvvjosh0610]

This saved me for my algebra test 🤝

[@sabaripaulmajumder5196]

You have no idea, how much you've helped me. Thanks a lot!

[@ninjanaoh3808]

This Helped A Lot! Thanks!

[@honya3272]

Thank you so much teach this was really helpful

[@RadfordMathematics]

Thanks for your comment Honya 😊
I’m really glad this helped!!! Take good care ✌️

[@jonathanbruce8969]

thank you for the simple and fast explenation!

[@RadfordMathematics]

Thanks for your comment Jonathan 😊
Truly glad it helped ✌️

[@monacleary730]

Tanx bro for ds method
Really helped me alot🙏💓✌

[@RadfordMathematics]

😊 thanks for your comment Mona! I’m really glad it’s helped!!
Take Good Care ✌️

[@mojganfarhoodi5504]

thanks. I found it pretty helpful

[@bing5314]

Simple but deeply understandable

[@mariamomar8755]

Thank you for making this so easy to understand :))

[@RadfordMathematics]

Thanks for your comment Mariam, I’m really glad this video helped 😊
Take good care ✌️

[@karlracaza7451]

Thank you for this quick tutorial sir, got a question, what happens if i got y^2 instead of x^2, that holds the same process right?

[@lonsonkosamu7282]

Amazing work out.
It's really helpful.

[@RadfordMathematics]

Thanks Lonson, I really appreciate your kind comment 😊.
Truly glad it helped!!
Take good care ✌️

[@apriljoygadoromero8018]

Thank you so much☺️ It helped a lot❤️

[@RadfordMathematics]

I’m really glad it helped 😊
Thank you for your comment!!
Take Good Care ✌️

[@jasperhopland8913]

Awesome video, thank you so much, right now I am mostly dealing with minimum values but still it helps a lot.

[@RadfordMathematics]

Thanks for the kind comment Jasper! Truly glad it helped 😊

[@mukulmishra276]

I am in class 10 but tomorrow is my exam and I see in the sample paper that this type of questions will also come

[@Jaywarde82]

It's almost getting easier for me...been away from it for 20 years and trying to relearn...hell if I even learned it the first time..lol

[@Naomi_now_]

Thanks!!!

[@RadfordMathematics]

Really glad it helped Yokona 😊

[@Jayson.guadarrama]

thank you!

[@RadfordMathematics]

Thanks for your comment Jayson! I’m really glad this video helped 😊
Take good care ✌️

[@benjaminmatanovic748]

Thanks! C:

[@RadfordMathematics]

Thanks for taking the time to comment Clint! Really glad it helped 😊
Take good care ✌️

[@tatimato]

thankyouuu

[@drmariagill]

Thanks very much
Helped me alot in My Final Exams
I scored a 97%

[@alexandraklam7781]

Ahhh!!!It's Eren Yeagerrr!!
I didn't imagine I would find you here😂
Good job acing your math

[@ash-nk8jn]

This helped a lot thank you !

[@RadfordMathematics]

I’m so glad to read / hear it helped 🙂
See you soon ✌️

[@chocoholic_cdxx5509]

how do you find the rest of the points of the graph?

[@harshahlawat2871]

Sir what is A at here?

[@jico2103]

this is actually poggers

[@belindamaccarthy]

Could’ve not said that

[@mukwevho-kieee5029]

Godsent

[@lakshyasingh6420]

How did u derived h is equal to negative b over 2a

[@RadfordMathematics]

if you derive the quadratic formula, from the standard form of the quadratic equation, the first term will be -b/2a that’s the acis of symmetry 🙂

[@lakshyasingh6420]

@@RadfordMathematics thank you so much...

[@slgb7405]

I have a question, if the parabola is downward is the vertex of it is maximum point and if its upward is the vertex of it is minimum point?

[@RadfordMathematics]

Absolutely! If the leading coefficient (the number multiplying the x^2) is positive then the parabola is concave-up (looks like a smile) and the vertex is a minimum. If the leading coefficient is negative then it is concave-down and the vertex is a maximum.
Hope that helps 😊

[@slgb7405]

@@RadfordMathematics Thank you so much!! Now I can finish my homework!! I’ll subscribe you

[@RadfordMathematics]

Always a pleasure 😊

[@gilbertabagawa2163]

Hmm sir
In one of my assignment
The question was like this
y=x³-12x+5
Is it written correctly

[@RadfordMathematics]

That really depends on what the topic of the assignment was 😊.
If it was on quadratics then it’s a typo and the power on that first x should be a 2.
But if it’s an assignment on polynomials or cubic functions it is very possible that it’s written correctly.

[@kareemlawson5755]

👏👏👏👏👏👏👏

[@zenitsu6852]

what if there's no b? i.e y=(x+1)^2 -3?

[@RadfordMathematics]

Good question 😊
When we write a quadratic in that form:
y=a(x-h)^2 + k
It’s know as the “vertex form”, the axis of symmetry has equation x = h (careful h is being subtracted from x)
So in the example you wrote, you have (x+1)^2
Think of that as (x-(-1))^2
The axis of symmetry would be x= -1
Hope that helps 😊

[@AA-fn5yu]

Your better than my math teacher😂

[@RadfordMathematics]

Thanks for your comment and kind words 😊 really glad it helped ✌️

[@AA-fn5yu]

Radford Mathematics i just finished my maths assignment.....I couldn’t understand during the live class so your video really helped...thanks alot again😊

[@RadfordMathematics]

That’s awesome! If ever there’s another topic you need help with, I may be able to help. Don’t hesitate to get back in touch 😊

[@user-lr8dy2ey8j]

what if y=x²+3x-6

[@raheeqsuhaib299]

What if the equation is
y=3x power2
??

[@bing5314]

The y-intercept and the axis of symmetry will be 0

[@twotenchris5847]

yo fam help me w my homework 😭😭😭

[@spedupsongs...]

still need help?

[@desuzx]

[@hunccho5158]

I don’t understand