Parabola Find Vertex, Focus, Directrix, and Graph

In this video lesson we go through 2 examples showing how to write a parabola in the standard form by completing the square. We go through how to find the vertex, focus, directrix and get a nice sketch of the parabola.
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[@MariosMathTutoring]

Learn more about parabolas using the focus and directrix in this video here: Parabolas Complete Guide - Graphing and Writing Equations Using Focus, Directrix, and Vertex kzbin.info/www/bejne/aGmxYWtjmtOckJo

[@ihateaac3785]

Hey, Mario, I am Freshman in 9th grade and learning geometry my teacher wanted an extra lesson on trigonometry and really your video helped me a lot. I saw many past videos you made; they were wonderful and still too. Thank you for always working for students like me.

[@MariosMathTutoring]

Glad I could help!

[@izzy-uy1gp]

hi Mario! i wanted to thank you so much for the content you make. It’s so simple and easy for me to understand! At the beginning of my math term I was getting late 70’s and then I discovered your channel and got a 95 on my exam. I appreciate all you do for students worldwide. Much thanks from Canada!

[@MariosMathTutoring]

Thanks for letting me know! Glad to hear my channel and math videos are helping you!

[@ikamghuliani]

Hi mario I am from PUNJAB , INDIA this video helps me a lot to understand concept for my JEE preparation

[@MariosMathTutoring]

That’s great! Thanks for letting me know and wishing you continued success with your math!

[@chrismart-o9f]

I love your explanation. Precise and easy to master 👌

[@MariosMathTutoring]

Thanks for watching! I'm glad you found the explanation helpful.

[@GM-zc6zz]

Thank you Mario taking the time to explain this to me. Your videos are really helpful!

[@MariosMathTutoring]

Glad to hear it!

[@Relaxing_Music-w6e]

Woah thanks, it turned out to be much easier than I thought

[@Gaenicka2223]

Great explanation sir 🎉🎉🎉

[@paparazizi]

i love you, you saved my life bro

[@xdgrove3072]

Best explanation love from India❤❤

[@BrightonOduor-l4x]

Thank Mario I understood so much when I watch your videos

[@MariosMathTutoring]

Awesome! Glad to hear my videos are helping you! Thanks for being part of the channel.

[@deeps5536]

HELPED ME SO MUCH! THANK YOU🙏

[@MariosMathTutoring]

You're welcome!

[@diaryoflife2024]

Thank you so much for your videos, they have become my go-to for maths. I can only agree with the comment below that they have been of tremendous help.

[@MariosMathTutoring]

You’re welcome! Glad to hear my videos are helping you!

[@mimkhan4960]

Hello sir I'm from Bangladesh I'm actually prepared for my December dsat. I'm not understand parabola type of question and now I'm understand the Concept. Thank you so much man ❤

[@MariosMathTutoring]

You’re welcome! Glad it helped you!

[@jai008-x2k]

Hey mario, your really helped me a ton. Im currently at senior high and my teachers recently started teaching us this so i got really confused but your video helped a lot in helping me understand so thank you very much.

[@MariosMathTutoring]

Glad I could help!

[@AlvinToifei-q8v]

thanks indeed for the shortcut information

[@MariosMathTutoring]

I’m glad my video helped you understand how to find the vertex, focus, and directrix of a parabola!

[@jerrysumugatdaetjr.]

Thank you very much Mario, this deserves a subscribe ❤

[@MariosMathTutoring]

Glad it helped!

[@MaheshGharti-man]

Thank you ❤❤

[@MariosMathTutoring]

You're welcome 😊

[@Claudialupperocd]

Thank you, this is super clear!

[@MariosMathTutoring]

Glad it was helpful!

[@searsagepoem447]

5:47 how did you get (y+3) where did you get the 3 sir? did you devide the 24 with 8?

[@MariosMathTutoring]

Watch this more in depth video I did on the topic here to understand more: Parabolas Complete Guide - Graphing and Writing Equations Using Focus, Directrix, and Vertex kzbin.info/www/bejne/aGmxYWtjmtOckJo

[@dannygamer9995]

Well explained thank you

[@alifnazhan]

really helping so easy to understand 😆

[@mogumogu1795]

Hi Mario! Can I ask a question? In this part 2:39 where did you get the 4(x-1)?

[@MariosMathTutoring]

This was intended to be a quick short video but I have done another more in depth video here that should answer your question: Parabola (Quadratics) Graphing and Writing Equations Using Focus, Directrix, and Vertex kzbin.info/www/bejne/aGmxYWtjmtOckJo

[@rebeccagonzales07]

did u find out? thats my only question help.

[@rotundrascal]

@@rebeccagonzales07 He factored out a 4 so that (4x-4) becomes 4(x-1)

[@rollybalo]

wow it helps me alot in teaching math in senior high.

[@Muhammadimran-hc4lu]

Good job you did also tell about latusrectum.

[@Cristiano_an]

Good teaching teacher😮😮😮😮😮

[@MariosMathTutoring]

Thank you! 😃

[@pk__pikachu2909]

Hey Mario.. ❤ Salam from Punjab, Pakistan. U r amazing 😍 teacher thank you 😊

[@MariosMathTutoring]

Thanks for reaching out. Glad you like my videos!

[@eggxecution]

thank you sir I was having hard time with this

[@MariosMathTutoring]

You’re welcome

[@sanketjain4050]

Nice videos and content!

[@urcai]

What happens if the we’re given this example: y^2 - 8y + 6x + 16 =0 ? Where we’d end up with (y - 4)^2 = -6x

[@NurkiAbdikadir-vm1mx]

Thank you

[@MariosMathTutoring]

You're welcome

[@shamsullahhassani9364]

Thanks ❤

[@MariosMathTutoring]

Welcome!

[@alphasaffi9230]

Great sir teaching sir thank you so much sir

[@MariosMathTutoring]

All the best!

[@lushzexla3536]

How did u get it being a y square type? How do u know

[@MariosMathTutoring]

The y is squared and the the x is not squared

[@Jason-o5s]

Cheer~~~a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.😊

[@Mr_Kyo_Clone]

Can i ask where did you get the one in p=1?

[@vuyanithwala6681]

He made p the subject of the formula so he devided by 4 both sides and he got 1

[@s.o.m.e_Random_d.u.d.e]

Can I have a question where did you get -5 in Focus?

[@MariosMathTutoring]

Here is a more in-depth video that should answer your question: Parabola (Quadratics) Graphing and Writing Equations Using Focus, Directrix, and Vertex kzbin.info/www/bejne/aGmxYWtjmtOckJo

[@abtech273]

Having issues getting the focus and directrix, could you go more deep? Thank you

[@MariosMathTutoring]

Conic Sections: Hyperbolas, Ellipses, Parabolas, Circles (How to Graph) kzbin.info/www/bejne/mGjKe6iLg5Jkfbc

[@abtech273]

@@MariosMathTutoring thanks , figured it out after watching the video again 🫡

[@DynarRar]

entendi mas a un gringo que al profe de la uni, no puede ser, la educacion virtual en ascendencia y se entendio todo gracias my maths lord

[@احمدالقدال-و3خ]

Enterprice caption is that you ❤😂

[@josephsumthn8727]

super mario i love you

[@andreaselby7766]

Hi there, do you have a tutorial for 10 years old (year 5) taking 11+ in September?

[@MariosMathTutoring]

I’d start with this Prealgebra final exam review…PreAlgebra Final Exam Giant Review kzbin.info/www/bejne/m5Ozo4anarGhaZY

[@MariosMathTutoring]

And if that feels like the right level then you could also take a look at this Algebra readiness review and practice video I filmed recently: Algebra Readiness Practice and Review kzbin.info/www/bejne/ooTEpHeZprh7btk

[@sahilshir9825]

I hope I will learn something more

[@RussellMaamo]

How about odd numbers in 4p part?

[@MariosMathTutoring]

It will work for odd numbers as well.

[@alucard2250]

Why 3? 5:51

[@demonslayer9295]

Because 8 × 3= 24

[@TrishaMaeSumalinogPait]

can i ask? my focal distance(p) is decimal because 10÷4😭what can i do?

[@MariosMathTutoring]

That is ok if your focal distance is 2.5

[@benlubanga]

Why are you flipping the signs to obtain the vertex

[@MariosMathTutoring]

It has to do with transformations. Learn more about it in this video: Shift, Stretch, Reflect Parent Functions by Identifying Transformations and Graph kzbin.info/www/bejne/hmq8nJyNpZ53frM

[@YehiaAhmed-xb4lm]

think u did a mistake in the first one. focus is (h,k+1) not (h+1,k )so it should be (1,-4)

[@MariosMathTutoring]

You are mistaken…kindly Review the video again.

[@ChampaDeopa-i4d]

😅😂 similar to johey

[@hailhydra5]

Super mario math

[@KadmielReiTomaganFabtos-vs7jo]

WAZUP NIGA SAAN MO NAKUHA ANG - 1??NAHIHILO NAKO

[@titesinguranayo8069]

Thank you

[@MariosMathTutoring]

You’re welcome

[@darke2703]

thank you

[@MariosMathTutoring]

You're welcome