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How to find the directrix, focus and vertex of a parabola 

Brian McLogan
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Learn how to graph a vertical parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be vertical if it opens up or opens down. A vertical parabola results from a quadratic equation in which the x part of the equation is squared.
To sketch the graph of a parabola, we first identify the vertex, the focus and the directrix. To do this, we first write the equation in the form (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus.
After expressing the equation in the form (x - h)^2 = 4p(y - k), the vertex is given by (h, k), the focus is given by (h, k + p) and the directrix is given by the line y = k - p. After obtaining the vertex, the focus and the directrix, we can then sketch the parabola.
#conicsections #parabolaconicsections

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30 апр 2012

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Комментарии : 313   
@CowlandGameStudios
@CowlandGameStudios 2 года назад
Thanks!
@brianmclogan
@brianmclogan Год назад
You are welcome!!
@Strldus
@Strldus 8 лет назад
I learned more in these 11 minutes then in my 2 hour long class
@brianmclogan
@brianmclogan 8 лет назад
+makeusaywa t that's why I love teaching on youtube
@TomTucker726
@TomTucker726 8 лет назад
+makeusaywa t lol same thank you Mr. McLogan!!
@guadsquad7775
@guadsquad7775 6 лет назад
mine was 3 hours and right after a test. Its awesome that these videos are still helping people 4 years later.
@markjosephpm4226
@markjosephpm4226 5 лет назад
A big help indeed haha 3 hrs of class vs. 11 minutes of video and I can see the difference.
@victoriamoreno4966
@victoriamoreno4966 4 года назад
same
@renewd
@renewd 6 лет назад
I was happy to hear your student at the end say "Ohh" and really understand the concept behind the directrix and focus.
@brianmclogan
@brianmclogan 6 лет назад
great feeling!
@renewd
@renewd 6 лет назад
It was a magic moment.
@nanasarpong1829
@nanasarpong1829 6 лет назад
Chris Manhoff thank for the video
@brianmclogan
@brianmclogan 10 лет назад
happy this video worked for you! some of my videos I get very detailed some of them I shorted everything up. Depends on the class and the day so I am glad you found exactly what you were looking for. I have more examples too just search 10.2 or look for the playlist
@faithnozomi7031
@faithnozomi7031 9 лет назад
Mr. McLogan's Math Channel This seriously saved my butt. I've struggled with my Precalculus homework for who knows how long, but this put an end to it. I was taught so vaguely about these concepts, so when I had to do my homework, I felt like I was being thrown to the wolves. (>.
@shubhamkatyal6391
@shubhamkatyal6391 6 лет назад
lol same
@nareshvichare1480
@nareshvichare1480 6 лет назад
u make problems so easy
@jadesingga
@jadesingga 5 лет назад
Brian McLogan kuddos sir😘😘
@angielapaulino4791
@angielapaulino4791 5 лет назад
@KoolGuy this topic is for either calculus and algebra man
@mooremik
@mooremik 10 лет назад
Had not looked at parabolas in 25yrs. Quickly refreshed and was able to help my daughter solve her homework. Thanks!!!
@brianmclogan
@brianmclogan 10 лет назад
you are very welcome! happy to help
@RosaLopez-cw8me
@RosaLopez-cw8me 9 лет назад
You explain things better than my teacher does in a 2 and a half hour lecture!
@nonyabizness577
@nonyabizness577 6 лет назад
SAME
@chambinabi9646
@chambinabi9646 7 лет назад
I love the fact that your students are questioning you if they don't understand something here in my country when you try to tell a point you get kicked out of the room.
@brianmclogan
@brianmclogan 7 лет назад
I think it is very helpful when learning to create dialogue and I encourage my students to speak up if something does not make sense
@chambinabi9646
@chambinabi9646 7 лет назад
Brian McLogan A perfect example of basic communication :) Thank you and Good luck!
@joshuaimpson2553
@joshuaimpson2553 9 лет назад
This could quite possibly be the most explicit explanation of such a convoluted subject. After watching your video, I was able to determine where I was making mistakes in determining the values of "p", and thus finding the focus of the parabola. THANK YOU!
@brianmclogan
@brianmclogan 9 лет назад
Joshua Impson perfect! so happy to be able to help you out!
@joshuaimpson2553
@joshuaimpson2553 9 лет назад
As a result of your video, I was able to nearly ace a quiz this week. KUDOS!
@theluckybarbarian
@theluckybarbarian 4 года назад
Hey man 4 years late and i learned more in 11 minutes then what my math “teacher” tried to teach in 2 weeks
@karenfrancis5202
@karenfrancis5202 4 года назад
I tutor and find your videos more helpful than the teacher notes that the students provide. You clearly know your material.
@kielygudino1958
@kielygudino1958 8 лет назад
You saved me just in time for my Precalc final!!! Thank you so much! You are an awesome teacher!
@brianmclogan
@brianmclogan 8 лет назад
you are very welcome! best of luck
@brianmclogan
@brianmclogan 11 лет назад
thank you very much! I have all my conic sections in playlists or labeled for chapter 10. Let me know if you can't find any particular videos you are looking for
@brianmclogan
@brianmclogan 11 лет назад
awesome! happy to help as always
@adamjuwaied8068
@adamjuwaied8068 9 лет назад
Can you post more videos on how to find the directrix, focus and vertex of a parabola? I have a couple different problems but they don't look like that. Thank you! I love your channel!
@mcmoy214
@mcmoy214 2 года назад
It's helpful that the students are in this because I had some of the same questions!! So helpful.
@kenjiro2676
@kenjiro2676 2 года назад
You are a godsend, so many videos on youtube don't provide the examples I need. The always convenient ones and are not the current problems I am dealing with.
@maxwelleckenrode4676
@maxwelleckenrode4676 5 лет назад
It’s funny that I never get the help I need from most of the RU-vid videos I come across. Until all of a sudden I always find one of your videos and everything is cleared up to me in less than 10 minutes. It’s also awesome that your students ask enough questions so that almost nothing is left out and can clear up any misunderstandings we might’ve have beforehand.
@brianmclogan
@brianmclogan 5 лет назад
soo happy to hear my videos have helped you out Maxwell
@brycenhaugarth1780
@brycenhaugarth1780 4 года назад
Just wanted to say please never stop doing what your doing, you have helped me so much. Thank you.
@brianmclogan
@brianmclogan 10 лет назад
happy to help, you are very welcome!
@emilyirizarryrodriguez2148
@emilyirizarryrodriguez2148 5 лет назад
wow this video was so informative. Thank you so much, I needed to review conic sections for my calc 2 class... this was life saver!
@brianmclogan
@brianmclogan 11 лет назад
ahhhh sorry I did not bring home my computer last night to respond. I hope you found some of my videos useful and did well on your test. Let me know if I can help you further. I have a couple videos on this information. Just search my videos under 10.2
@TOYCH
@TOYCH 9 лет назад
Thank you for your videos. Much appreciated
@brianmclogan
@brianmclogan 11 лет назад
: ) happy to help!
@hayleynymphadora1216
@hayleynymphadora1216 8 лет назад
I'm stuck doing Pre-Calc on line. You save me, sir. Thank you. I learn more with your videos than I do with my online lessons for sure. Thanks for explaining things!
@brianmclogan
@brianmclogan 8 лет назад
+Rhiannon Hall you are very welcome! happy to be able to assist you!
@hippybecca
@hippybecca 10 лет назад
thank you so much. I was sitting there with absolutely no clue what to do. I like how you show every step. My teacher doesn't do that and you gave the formulas for the vertex focus and directrix which i didnt have and had no clue how to find because of that.
@diegotheexplorer4210
@diegotheexplorer4210 2 года назад
Oh, now I get it. I was wondering about the connection between the focus, directrix and vertex. Thank you!
@brianmclogan
@brianmclogan 10 лет назад
haha love that movie, been there done that, happy to help!
@rere9290
@rere9290 8 лет назад
i think i've learned better from this video than the hour and a half long math class i've been going to 3 times a week for the past couple of weeks
@brianmclogan
@brianmclogan 8 лет назад
+Hugh Jass great to hear and happy to help you out! keep up the hard work
@spiceaddict1118
@spiceaddict1118 10 лет назад
You just saved my life. Thank you so much for going through step by step
@laurapoelstra2981
@laurapoelstra2981 7 лет назад
I finally understand this! Thank you for being very clear and straightforward, it was really helpful for me.
@brianmclogan
@brianmclogan 7 лет назад
awesome! happy to be able to assist you with everything
@haleyperry420
@haleyperry420 3 года назад
Literally you saved me my teacher makes no sense you’re amazing thank you
@KevinNguyen-zx2px
@KevinNguyen-zx2px 8 лет назад
Do you have a video on how to find the equation if given the focus/vertex or vertex/directrix ?
@brianmclogan
@brianmclogan 11 лет назад
you are very welcome!
@tumadre9689
@tumadre9689 7 лет назад
Let me just say being homeschooled is really hard to do math but I came across your videos and now math is becoming sooooo easy for me. Thank you so much you're now my teacher and I your student :))))
@brianmclogan
@brianmclogan 7 лет назад
absolutely! let me know if there is anything else I can do to help you
@jwoodsonmusic
@jwoodsonmusic 5 лет назад
I missed class this day and I have a quiz tomorrow. You just saved my grade!
@jacobzu6655
@jacobzu6655 7 лет назад
You are so patient and descriptive! In a college precalculus course right now and you're helping me out a ton. Entering Calculus this summer :-)
@brianmclogan
@brianmclogan 7 лет назад
good for you, keep up the hard work! I am teaching Calculus this year so hopefully I will have many more lessons that can help. Just let me know if there is anything else I can do
@brianmclogan
@brianmclogan 11 лет назад
Yes there are many different ways to represent conics. I prefer this method. I like Dr. Brian wish I could go back and earn that name.
@JoelyY
@JoelyY 7 лет назад
I wish all math teachers can be like you!!! Very straightforward. I actually understand more now than my hour and a half pre cal class.
@brianmclogan
@brianmclogan 7 лет назад
happy to be there for you and help you out
@BiscuitVillain
@BiscuitVillain 3 года назад
Gotta say: all of your videos have been SAVING me since I'm doing online class. I swear this is the worst way to learn lol But you are great! Thank you for the easy to understand explanations!
@rm-09
@rm-09 5 лет назад
Honestly, thank you so much. Our Math professor is atrocious in his teachings, and his lectures are what nightmares are made of. You made this topic extremely simple and easy to understand. Thank you, again!
@stacystacy754
@stacystacy754 8 лет назад
He looks so much like Randy Orton.
@brianmclogan
@brianmclogan 8 лет назад
+Anindividual I'll take it
@JJRivRiv
@JJRivRiv 10 лет назад
helped loads on studying for my final. thanks for taking the time to record and upload this !
@brianmclogan
@brianmclogan 10 лет назад
you are very welcome happy to help!
@jhunmichaelibanez2362
@jhunmichaelibanez2362 3 года назад
Wow. A video made 8 years ago helps me today.
@brianmclogan
@brianmclogan 11 лет назад
you are welcome!
@dylanwerelius7550
@dylanwerelius7550 5 лет назад
Thank You so much. I'm in Honors Alg 2 and this is how I understand things better.
@baonganhoang2068
@baonganhoang2068 5 лет назад
Thank you, I have a lot of trouble to understand my professor and you make everything so much easier.
@brianmclogan
@brianmclogan 5 лет назад
Very happy to help you out Ngan!
@bigpackage8513
@bigpackage8513 11 месяцев назад
Very clear, great video and great teacher
@UnivisionProduction
@UnivisionProduction 11 лет назад
Thank you! You just saved me from my test tomorrow!
@lenasalim166
@lenasalim166 4 года назад
these videos are saving my math grade :)
@anthonygillespie9640
@anthonygillespie9640 4 года назад
Brian you are goated my guy
@nuevosarahjoyt.8525
@nuevosarahjoyt.8525 3 года назад
You're so great sir! Thankyouu for this kind of video❣️
@tesfafuture648
@tesfafuture648 5 лет назад
The way you explain things is very impressive I learn much more from you than at school But i want to know where the 4 In the basic formula of the parabola comes from 🙏
@njorogekiratu2427
@njorogekiratu2427 4 года назад
Amazing.. Thank you. God bless
@hansikag1
@hansikag1 7 лет назад
thank you so much this helped me for my EOC tomorrow. thank you!!
@brianmclogan
@brianmclogan 7 лет назад
best of luck!
@Latifawabinthafialbadia
@Latifawabinthafialbadia 9 лет назад
This is really well explained,thank you
@brianmclogan
@brianmclogan 9 лет назад
***** happy to be able to help you out, let me know if there is anything else I can do for you
@minykick
@minykick 10 лет назад
thanks lot, we went over this in class and I have this all written down but for some reason it just didn't click, it is making much more sense now. Time to finish my homework
@brianmclogan
@brianmclogan 10 лет назад
awesome! go and get it!
@brianmclogan
@brianmclogan 11 лет назад
yes that formula is when the vertex is at the origin
@eggxecution
@eggxecution 5 лет назад
instant subscribed. Keep it going, now I know about parabola!
@brianmclogan
@brianmclogan 5 лет назад
awesome! and happy to have you!
@silverwolf7782
@silverwolf7782 4 года назад
YOURE THE GOAT
@kristagob4268
@kristagob4268 3 года назад
Thank you for this, it helped me a lot right now
@renedominguez6430
@renedominguez6430 6 лет назад
thank you so much for your videos! i am from México and i can learn english and math at the same time! regards! :)
@brianmclogan
@brianmclogan 6 лет назад
de nada
@luciatao9579
@luciatao9579 11 лет назад
really helpful videos thank you!
@TrevellGrant
@TrevellGrant 8 лет назад
Big Help... thank you!
@brianmclogan
@brianmclogan 8 лет назад
+Trevell Grant you are very welcome!
@Afromonkey1998
@Afromonkey1998 3 года назад
Thanks for the quick maths
@flameforce4000
@flameforce4000 11 лет назад
Thanks a lot ! That really helped
@harvey6287
@harvey6287 3 года назад
Thank you so much you're a life saver!!!
@brianmclogan
@brianmclogan 3 года назад
You are welcome Tandano
@emmay120
@emmay120 4 года назад
your videos help me so much thank you
@ashleytorres5193
@ashleytorres5193 5 лет назад
i just learned more than what my teacher has thought me in 4 class periods
@libris3403
@libris3403 8 лет назад
Thanks. You explained it so much clearer than my professor.
@brianmclogan
@brianmclogan 8 лет назад
+Samuel Flores happy to help!
@jonathangillooly9361
@jonathangillooly9361 6 лет назад
My math class taught this a different way, but this is so much easier! Thank you!
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome!
@oliviahamukwaya6099
@oliviahamukwaya6099 6 лет назад
Thank you for your videos sir I have learnt a lot.
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome! happy to be there for you!
@henry5807
@henry5807 6 лет назад
This guy is very helpful.
@brianmclogan
@brianmclogan 6 лет назад
happy to help
@yonatankenzo2513
@yonatankenzo2513 7 лет назад
absolutely amazing. Helped a lot. keep up the good work.
@brianmclogan
@brianmclogan 7 лет назад
thank you will do
@JacobVossFilms
@JacobVossFilms 11 лет назад
This was fantastic
@brianmclogan
@brianmclogan 10 лет назад
you would need to write it in vertex form by competing the square
@sanchitsingh7162
@sanchitsingh7162 9 лет назад
Thanks a lot. I have learnt so much from this. 😊
@juniorlefty
@juniorlefty 7 лет назад
except how to spell
@isthataspider7410
@isthataspider7410 6 лет назад
savage
@prashantsaini6372
@prashantsaini6372 5 лет назад
sir can you please tell me how we can find out the focus point if we have only aperture length, aperture width and aperture area only
@shaneandres5755
@shaneandres5755 8 лет назад
Thank you very much sir :) this is much better than our one hour class :3
@brianmclogan
@brianmclogan 8 лет назад
happy to help
@tashasolorzano8545
@tashasolorzano8545 10 лет назад
thanks so much!!!! i fell asleep in class today!!!! the teacher sounds like that guy from the movie "bueler's day off"!!! lol! i wish i had you as a teacher!!!!
@sayrarodriguez2193
@sayrarodriguez2193 8 лет назад
OMG Thank You soooooo muchhhhh!!! you explained this soooo clearly !
@brianmclogan
@brianmclogan 8 лет назад
+Sayra Rodriguez you are very welcome! happy to be able to help
@Thestarsalign15
@Thestarsalign15 5 лет назад
learned so much than spending a week or so on this topic in class and thank you
@nainuanyai
@nainuanyai 9 лет назад
Thanks a lot . This video help me so much for my final exam!!
@brianmclogan
@brianmclogan 9 лет назад
Augusta August Happy to help, how do you think you did?
@nainuanyai
@nainuanyai 9 лет назад
I think I can get perfect score ;)
@jericfoliente
@jericfoliente 2 года назад
Thank u!!
@user-fw4jt6po8b
@user-fw4jt6po8b 5 месяцев назад
This is explained in the most complex way
@pawanprakash4131
@pawanprakash4131 7 лет назад
sir you are awesome.... now i get it clearly....thank you
@brianmclogan
@brianmclogan 7 лет назад
happy to help!
@MadmansKnowledge
@MadmansKnowledge 10 лет назад
thank you
@rickiemaralit3184
@rickiemaralit3184 6 лет назад
thank you for this 11 minutes video. HAHAHA it really make sense and it did help me study parabola easier.
@brianmclogan
@brianmclogan 6 лет назад
awesome! happy to help
@anjann7680
@anjann7680 7 лет назад
i'm going to take my calculus exam tomorrow! thank you for this!
@brianmclogan
@brianmclogan 7 лет назад
you are very welcome! good luck
@denzilaerlonfloydgodoy510
@denzilaerlonfloydgodoy510 6 лет назад
Thank you so much! Like I was so confused about this problem lol.
@brianmclogan
@brianmclogan 6 лет назад
you are very welcome! happy to be able to help
@amandaarenas4345
@amandaarenas4345 7 лет назад
This was extremely helpful!! great for midnight cram sessions lol
@brianmclogan
@brianmclogan 7 лет назад
happy to be able to help
@magick2006
@magick2006 7 лет назад
Wow this helped me a lot, my pre-calculus teacher sucks. She can't even show the step like you did
@brianmclogan
@brianmclogan 7 лет назад
haha happy to be able to help you out
@MrSalehovich
@MrSalehovich 11 лет назад
I don't know why but in our university we don't use these methods, which are alot easier and understandable. Thank you very much Dr. Brian.
@tassmo328
@tassmo328 10 лет назад
If the focus of a positive parabola is (h,k-p) is the focus of a negative parabola (h,k+p) ?
@brandonkelley2989
@brandonkelley2989 7 лет назад
Love your vids man , haha wish you could take my tests for me 😂
@brianmclogan
@brianmclogan 7 лет назад
happy to help
@anthonyburgers1317
@anthonyburgers1317 3 года назад
Thank You sooooo much!!!!!!!!
@duchades8609
@duchades8609 6 лет назад
Thank you for your videos. Much appreciated. Can I ask what is the second fomular you said in the video and use it for what case? Thanks again.
@brianmclogan
@brianmclogan 6 лет назад
I am not sure I remember what I was referring to.
@natewalls8677
@natewalls8677 8 лет назад
This helped me a lot, thx!
@brianmclogan
@brianmclogan 8 лет назад
+Nate Walls you are very welcome! happy to be able to help you out
@SHDmusic
@SHDmusic 9 лет назад
Helped me quite a bit- thanks
@brianmclogan
@brianmclogan 9 лет назад
SHDmusic you are very welcome! happy to be able to help
@hooman9779
@hooman9779 3 года назад
Thank you so much
@Dyleniz
@Dyleniz 7 лет назад
Thank you so much I needed to learn this since I'm failing my class and my teacher gave me a chance to catch up with my grades by giving me a make up test
@brianmclogan
@brianmclogan 6 лет назад
awesome! happy to be able to help
@orlandolopezzte
@orlandolopezzte 9 лет назад
omg thank you...i needed to learn this...subrscribed and liked!!
@brianmclogan
@brianmclogan 9 лет назад
eddie lopez : ) happy to help!
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