How to find the foci, center and vertices, and asymptotes of a hyperbola

Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2 / b^2 = 1 for vertical hyperbola.
Next, we identify the characteristics of the given hyperbola. The center of the hyperbola is (h, k). It is halfway between the two vertices and halfway between the two foci. 'a' (the distance from the center to the vertices) is the square root of the first denominator and 'b' (the distance from the center to the covertices) is the square root of the second denominator. 'c' (the distance from the center to the foci) is obtained by taking the square root of the sum of a^2 and b^2. Using these characteristics of the hyperbola, we can graph the asymptotes of the hyperbola and hence graph the hyperbola.
Note that a hyperbola is vertical when it is facing up and down and is horizontal when it is facing right and left.
#conicsections #hyperbolaconicsections

Пікірлер: 260

  • @noahpierce5205
    @noahpierce52057 жыл бұрын

    Shout out to brian for making my grade go from a 73 to a 94 in pre-cal. These videos are a NECESSITY

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    Happy to be able to help you out, keep up the hard work

  • @christina-mz1lp

    @christina-mz1lp

    9 ай бұрын

    I’m trying precalc so hard :(

  • @brianmclogan
    @brianmclogan11 жыл бұрын

    AHHHH thank you for catching the mistake. I think I may have been confused working from another ellipse problem and state incorrectly. For a hyperbola the foci are not between the verticies but out side them! Thank you so much for catching this mistake

  • @malachibooth2549

    @malachibooth2549

    5 жыл бұрын

    Brian McLogan ty in helping me with my hw and keep making more videos! Btw I think you graphed the foci wrong because the square root of seven is larger than two (the vertices)

  • @johnibrahimbabangida-co3sw

    @johnibrahimbabangida-co3sw

    Жыл бұрын

    Thanks so much for this video

  • @brianmclogan
    @brianmclogan11 жыл бұрын

    thanks, just trying my best to help out students like yourself. Keep up the hard work and let me know how I can help you further

  • @tranquilitypeace-quiet-med8225
    @tranquilitypeace-quiet-med82255 жыл бұрын

    I wonder why majority of the people in this world cannot appreciate the beauty of math, keep it up sir

  • @jasonyntig717

    @jasonyntig717

    3 жыл бұрын

    It’s just so hard... but I do appreciate the beauty of literature

  • @BOSS-nz2hw

    @BOSS-nz2hw

    3 жыл бұрын

    Becasue teachers are not letting us appreciate it. Just Stating facts

  • @MrDubs
    @MrDubs5 жыл бұрын

    I love being able to search ANYTHING math related this semester and having multiples of your videos pop up. Hope your archive of all things great are there for me next semester for my 7:30am calc class.

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    yes I have plenty of calc videos, hoping to make more

  • @tyhararain7856
    @tyhararain785610 жыл бұрын

    Thank you, thank you, thank you! This is my first year of being homeschooled and the onsite classes only went up to geometry at my schools site. I've been teaching myself Precalc this entire year and it has been the sole cause of all my sleepless nights and grumpy attitude in the morning. Some how ( I have no idea how) I managed to keep up my A in the class but i think waaay too much crying and headaches was put into it. I love math and not understanding it was making me seriously hate it. Thank you soooo much for taking the time to make/edit these videos, they are sooo helpful. I wish i had learned about them much sooner but i will definitely keep watching your videos the last 6 weeks of school i have left!

  • @madeleinekreger8309
    @madeleinekreger83097 жыл бұрын

    Forever wishing you were my pre-calc teacher👌🏼 Learned so much from you!

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    awesome! happy to be able to help you out

  • @hoshimiazami18

    @hoshimiazami18

    6 жыл бұрын

    Madeleine Kreger yeah me too

  • @claramutsakanyi3790
    @claramutsakanyi37907 жыл бұрын

    i like the fact that i feel like im in class ,when watching your videos .

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    I like that too

  • @irehman7

    @irehman7

    5 жыл бұрын

    Then why don't you pay attention in class and come here watch XD.....just kidding

  • @ikennao5299
    @ikennao52997 жыл бұрын

    im from nigeria and youre a blessing youve saved my gpaa!

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    happy to be able to help you out, all the way in nigeria

  • @themegachan1
    @themegachan110 жыл бұрын

    Thank you a lot. I watch your videos every time I have new homework lol... The way you teach is super super easy to understand. Thank you so much :)

  • @BasketballPownage
    @BasketballPownage9 жыл бұрын

    I just wanted to thank you so much! I take pre calc and am doing all of it from home and teaching myself. You help by giving a very clear explanation and it feels very similar to a classroom setting. Thanks a lot, you are helping thousands of struggling teens with hw.

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    BasketballPownage thank you, very happy to be able to make a difference

  • @Jan_ice
    @Jan_ice2 ай бұрын

    i just recently found your videos and honestly its keeping me afloat in precalc these are really helpful

  • @luxus20
    @luxus206 жыл бұрын

    bro u are better than my teacher in room LOL ...I understand a lot thank you bro this really help me ^.^

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    awesome! happy to help

  • @raziljaycamariosa7476

    @raziljaycamariosa7476

    6 жыл бұрын

    same as here hahahaha

  • @cocoabunny13
    @cocoabunny139 жыл бұрын

    Thank you so much, this helped me a ton! The way you teach is super easy to understand, please keep making videos :)

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    Merina Simone thank you very much for your kind words, happy to keep making videos

  • @morganjones616
    @morganjones6164 жыл бұрын

    Thank you so much! My math teacher makes connections that I can't yet, so your videos really round it out.

  • @kalebrizer6829
    @kalebrizer68295 жыл бұрын

    i just discovered the channel thanks for the help because my current teacher honestly just doesnt teach this well and most of my class is having trouble.

  • @JasleenKaur-ht5km
    @JasleenKaur-ht5km7 жыл бұрын

    this was a hyperbola, you put the foci on the wrong spots. Other than that good video

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    good catch, thanks! I will update on the video

  • @keenanweind1780

    @keenanweind1780

    5 жыл бұрын

    I was about to put the same reply, you beat me to it...

  • @jamesruwe5566

    @jamesruwe5566

    5 жыл бұрын

    a^2-b^2=c^2

  • @carlmina4287

    @carlmina4287

    5 жыл бұрын

    @@jamesruwe5566 no, on hyperbola its addition bruv

  • @GlennEmmanuelPMardo
    @GlennEmmanuelPMardo6 жыл бұрын

    Tomorrow is our examination in Pre-Calculus regarding conic sections I've watched all of your videos regarding conic sections and I learned a lot from you. Thank you so soooo much I really admire/appreciate your intelligence in Mathematics God bless you and your family💖🙂

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome Glenn! Wish you the best of luck!

  • @STONEAJE
    @STONEAJE9 жыл бұрын

    I would just like to say thank you for this. You are an awesome teacher. My teacher is great too (this time at least) but she doesn't have her lectures online for me to check after class! These videos have been helping me a ton.

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    STONEAJE awesome! that is why I post them for students like you. happy to be there to help

  • @ricaprincesstonga712
    @ricaprincesstonga7125 жыл бұрын

    You just save me from failing my quiz! I think I learn more watching your video tutorial than listening to my pre-cal teacher...

  • @hiyashah2335
    @hiyashah23355 жыл бұрын

    I’m an expat living in Saudi Arabia and your videos really do help! Thanks!

  • @brianmclogan
    @brianmclogan11 жыл бұрын

    you are welcome!

  • @ranjithraj36
    @ranjithraj363 жыл бұрын

    Namasthe Sir I'm from india. Actually I takes online tuitions for NRI students your videos helping me alot thank you so much sir

  • @brianmclogan

    @brianmclogan

    3 жыл бұрын

    So happy to help!!

  • @ranjithraj36

    @ranjithraj36

    3 жыл бұрын

    @@brianmclogan 🙏🙏sir 😊😊

  • @ak-up8fg
    @ak-up8fg3 жыл бұрын

    Absolutely You are awesome ! I see you as my maths teacher. Respect from ethiopia.

  • @hook8033
    @hook803311 жыл бұрын

    So if a=2 and c=sqrrt of 7 which is 2.65 roughly wouldnt that put the foci on the outside of the vertices not in between? at 8:52

  • @ryanjayreyes7019
    @ryanjayreyes70197 жыл бұрын

    Thank God !! Your a Life saver!! I survived pre cal with high marks because of you..!! Thank you..!! I'm from philippines by the way..😊😊😊

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    great job Ryan! I am happy to have been able to help you and see your hard work pay off

  • @ryanjayreyes7019

    @ryanjayreyes7019

    7 жыл бұрын

    +Brian McLogan Yeah! You can count on it..😊😊 Hope you still continue to upload videos

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    ohhh yes

  • @victorgabrielsioson6528
    @victorgabrielsioson65285 жыл бұрын

    can you make a tutorial on how to get the latera recta of hyperbola?

  • @parhama1388
    @parhama13886 жыл бұрын

    shout out to Brian from Melbourne, Australia. Your videos are very helpful.

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    cheers! glad they work for you

  • @kllyjrd
    @kllyjrd11 жыл бұрын

    I am the 100th Viewer! Thanks so much for helping me with math, I wish my teacher was like you.

  • @letsgobuffalo19
    @letsgobuffalo1911 жыл бұрын

    This helps so much! thank you

  • @arjungrover1451
    @arjungrover14517 жыл бұрын

    jesus these vids help so much thanks Brian

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    you are very welcome!

  • @aidengluck261
    @aidengluck2613 жыл бұрын

    This guy is carrying me through my classes

  • @1121jitseng
    @1121jitseng6 жыл бұрын

    You're much better than my teacher in lucture class. She just briefly explained to us and gave us lots of exercises. Thank you so much Sir ;)

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome and happy to be able to help

  • @1121jitseng

    @1121jitseng

    6 жыл бұрын

    Can sir do more discussion on stpm maths level?

  • @nozzerjuice
    @nozzerjuice7 жыл бұрын

    who ever doesn't raise their hand to ask a question must sit in the corner wearing a dunce cap!

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    agreed

  • @infamousprince88
    @infamousprince887 жыл бұрын

    how do you determine your a and b values? Because I watched and followed the steps but it looks like my equations were backwards. Not sure why though because my equation looks pretty much the same

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    A and B are the coefficients of x and y squared.

  • @michaeldickson36
    @michaeldickson366 жыл бұрын

    your students have a remarkable ability to ask the questions exactly as i think them in my head

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    that's awesome!

  • @AJ-et3vf
    @AJ-et3vf10 ай бұрын

    Great video. Thank you

  • @brianmclogan
    @brianmclogan11 жыл бұрын

    you are very welcome! Go Detroit

  • @marklista8221
    @marklista82214 жыл бұрын

    This vid is so helpful to recall my knowledge about this. I don't understand what i wrote on my notes xD. Thanks sir!

  • @Emma-pv6xd
    @Emma-pv6xd5 жыл бұрын

    really out here saving my algebra II grade like that

  • @gakerenyingi6063
    @gakerenyingi60636 жыл бұрын

    from Kenya your videos are very awesome thank you

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    that is awesome! happy to be able to help you out!

  • @johnpatrickclemente547
    @johnpatrickclemente5479 жыл бұрын

    Thank you very much. This really helped a lot. :) keep it up.

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    John Patrick Clemente will do

  • @MJ-nf5zh
    @MJ-nf5zh4 жыл бұрын

    this is a blessing

  • @bbank5782
    @bbank5782 Жыл бұрын

    The foci (-1, 0 +/- root 7) has to be further away from the center than the verticies (-1, 0 +/- 2). Root 7 is greater thatn 2.

  • @islamic_diariesbysidra..8466
    @islamic_diariesbysidra..84666 жыл бұрын

    sir , i learned so much from your videos .. thank u

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome!

  • @nicolesteinmetz5363
    @nicolesteinmetz53637 жыл бұрын

    Thank you so much! Helped a lot

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    happy to help

  • @bryonsegunto8901
    @bryonsegunto89016 жыл бұрын

    Is it possible to comeup with these asymptotes? 2x+sqrt3y-2=0 and -2x+sqrt3y+2=0

  • @abdallahmusleh5613
    @abdallahmusleh56133 жыл бұрын

    love you man

  • @pro-films9920
    @pro-films99204 жыл бұрын

    That class room vibe ♥️

  • @crissellshey7585
    @crissellshey75853 жыл бұрын

    besssssttttt teacherrrrr🥺✨

  • @jakemoody4464
    @jakemoody446410 жыл бұрын

    THANK YOU MR.MCLOGAN!

  • @brianmclogan

    @brianmclogan

    10 жыл бұрын

    you are very welcome! happy to help!

  • @Boyhoody
    @Boyhoody4 жыл бұрын

    THANK YOU THANK YOU THANK YOU!!!

  • @trey6419
    @trey64196 жыл бұрын

    1:52 I don't get where that "1" is coming from.. Why does it suddenly get added to (x²+2x) at 2:00 ?

  • @ivanpallino2605

    @ivanpallino2605

    5 жыл бұрын

    It was created to a perfect square trinomial

  • @deograciascorderoii7299
    @deograciascorderoii72995 жыл бұрын

    Thank you Sir!!!

  • @farahhamoudeh1368
    @farahhamoudeh13688 жыл бұрын

    thank you so much ..you helped me a lot :)

  • @brianmclogan

    @brianmclogan

    8 жыл бұрын

    +Farah Hamoudeh you are very welcome! happy to be able to help

  • @venczchannel
    @venczchannel9 жыл бұрын

    Thanks sir you help me alot new subscriber here :D

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    Jace Cz Alexandersson perfect! happy to have you

  • @jayarciga5880
    @jayarciga58808 жыл бұрын

    you da real MVP

  • @brianmclogan

    @brianmclogan

    8 жыл бұрын

    +Jay Arciga just happy to help!

  • @orggienyasoka2712
    @orggienyasoka27122 жыл бұрын

    Thanks very much

  • @ogbechewisdom1621
    @ogbechewisdom16214 жыл бұрын

    wow pure genius

  • @itnolongerexists2877
    @itnolongerexists28774 жыл бұрын

    How do you when you have xy terms

  • @killer0200318
    @killer02003185 жыл бұрын

    Where are the foci supposed to be

  • @darrell3806
    @darrell38067 жыл бұрын

    I'm from Philippines and you sir helped me out. thanks sir

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    awesome! happy to be able to do so. Keep up the hard work

  • @sadgurusachhivani7171

    @sadgurusachhivani7171

    6 жыл бұрын

    really helpful but one problem is that letters are nt clear

  • @chessabelledablo3535
    @chessabelledablo35356 жыл бұрын

    The method that he used in the beginning is that completing the square?

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    yes

  • @sanamsanamrani6206
    @sanamsanamrani6206 Жыл бұрын

    Mashallh very good work

  • @mutinyonline10
    @mutinyonline105 жыл бұрын

    This lesson was a mess! Reminded me of my initial maths teacher this year, managed to change lecturer but stay in the same course and I actually learn things in class now. When it comes to maths it’s all up to the effort you put in and the teacher you have.

  • @josuedavid6584
    @josuedavid65846 жыл бұрын

    I got test tomorrow and this video saved me.

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    awesome, best of luck Josue!

  • @adbeellopez4792
    @adbeellopez47927 жыл бұрын

    You're so nice that you don't get irritated with the dumb questions those kids be asking haha

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    I am just trying to do my part to help, I was once in those shoes

  • @ryankandy
    @ryankandy2 ай бұрын

    wow these are some legendary comments Im taking pre calc right now I wonder where all these people are at in their lives now.

  • @revenevren3344
    @revenevren33446 жыл бұрын

    Wish you could be my pre-cal teacher. I do understand the way you discuss.

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    Happy to help! I have plenty more videos to come

  • @TheSSgator15
    @TheSSgator1511 жыл бұрын

    but what was the mustang news?

  • @momalzahid4577
    @momalzahid45776 жыл бұрын

    Can you teach integration and calculus too? Would mean a lot. Amazing videos thou.

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    "#integration mclogan" give it a search, plenty of videos. Thanks

  • @momalzahid4577

    @momalzahid4577

    6 жыл бұрын

    Brian McLogan Thanks a lot. Keep guiding us.

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    always😀

  • @halwestnoraden3957
    @halwestnoraden395711 жыл бұрын

    thank you

  • @priMoN6
    @priMoN69 жыл бұрын

    Very helpful!!!

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    Fardin Islam perfect! happy to help

  • @Problem_Solvedorg
    @Problem_Solvedorg3 жыл бұрын

    Amazing!

  • @jullianwoodard535
    @jullianwoodard5355 жыл бұрын

    man my pre-calc teacher an indian lady wit a strong indian accent and idk what shawty be sayin but this saved me thanks fam

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    happy to be able to help you out!

  • @speciesunspecified2199
    @speciesunspecified21997 жыл бұрын

    after getting the standard formula, what if there's a value beside (x-h)^2 .... the equation's like this, y^2 / 1 - 3(x-7)^2 / 2 = 1

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    divide it out so that the (x-2)^2 is isolated

  • @speciesunspecified2199

    @speciesunspecified2199

    7 жыл бұрын

    Brian McLogan how can I divide it when there's already a denominator? And do I have to divide the other variable too?

  • @HossG8
    @HossG87 жыл бұрын

    How do you know which equation to use ???

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    I hope this helps kzread.info/dash/bejne/h3l1lc2cYtCZhbQ.html

  • @Madmun357
    @Madmun3576 жыл бұрын

    Another great video. Don't lose patience with your students. You're good at this, but it's their first time seeing this.

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    Sometimes, sometimes a video I make is the 5th time they have seen it, however point well taken

  • @shelomithpotayre1114
    @shelomithpotayre11146 жыл бұрын

    Is that one example of general equation of hyperbola?

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    yes

  • @thevegetableaddict4625
    @thevegetableaddict462510 жыл бұрын

    Thanks bruh!

  • @brianmclogan

    @brianmclogan

    10 жыл бұрын

    you very welcome!TheVegetableAddict

  • @georgeferman761
    @georgeferman7613 жыл бұрын

    this dude really approximated the square root of 7 on the spot, wow

  • @kafflechawds5660
    @kafflechawds56603 жыл бұрын

    ngl this be helping me in 2020 XD

  • @miguelbanana220
    @miguelbanana2205 жыл бұрын

    How do you identify the center pleas i have test tomorrow???😭😭

  • @star9129
    @star91295 жыл бұрын

    Mid-term exams tomorrow. pray for me!

  • @kyleschwartz.
    @kyleschwartz.5 жыл бұрын

    still coming in clutch

  • @SnehlataSharma
    @SnehlataSharma6 жыл бұрын

    Nice sir

  • @earldavidbasal8362
    @earldavidbasal8362 Жыл бұрын

    solid lods

  • @areyouchoking1471
    @areyouchoking14716 жыл бұрын

    Those students who doesn't know how to raise their hand before asking a question. UGH!!! 😫😫

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    haha seriously, I will take blame for allowing it

  • @katiecheng6551
    @katiecheng65515 жыл бұрын

    7:50 brian mclogan snapped

  • @magikyle252
    @magikyle2523 жыл бұрын

    How dafaq did you get the 2x ! You didn't explain it

  • @alfredo19987
    @alfredo199877 жыл бұрын

    what is the focus in an ellipse? please help

  • @brianmclogan

    @brianmclogan

    7 жыл бұрын

    an ellipse has two foci, they lie on the major axis and have a distance of c from the center

  • @imeprezime1285

    @imeprezime1285

    3 жыл бұрын

    @@brianmclogan And what are TWO most important properties of these two points in an ellipse?

  • @nevergiveup7233
    @nevergiveup72334 жыл бұрын

    I'm from egypt master Where are you from

  • @hachisu5288
    @hachisu52886 жыл бұрын

    Dammit our first quarterly exams are about parabolas, circles, ellipse, and hyperbolas and im just 16 yr old boi Good thing we are allowed to use and check our formulas the thing is it's 1-100 test so a hundred items and im doing the same thing but with different variants and including the standard and generalized form... I'm done with school hahah

  • @nidhishgautam9043
    @nidhishgautam90438 жыл бұрын

    is this video from school or the tuitions you take after the school?

  • @brianmclogan

    @brianmclogan

    8 жыл бұрын

    +nidhish gautam during school, but I also record after school and during the summer

  • @KinsGlory
    @KinsGlory9 жыл бұрын

    what happened with the 2x at 2:00?

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    KinsGlory I completed the square

  • @KinsGlory

    @KinsGlory

    9 жыл бұрын

    Mr. McLogan's Math Channel ahh i see. thank you! Helping me study for my placement tests. Do me a favor and tell your hs students to not put it off! The only thing more tedius than taking them is having to re-learn everything two years later.

  • @akisahmarmaya7368
    @akisahmarmaya73686 жыл бұрын

    hoping someday u can teach me how to solve hyperbola

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    WHAT DO YOU MEAN "SOLVE HYPERBOLA"

  • @akisahmarmaya7368

    @akisahmarmaya7368

    6 жыл бұрын

    what i mean is solving because im really weak in math

  • @spencerfitz6023
    @spencerfitz60236 жыл бұрын

    What if you’re given (y-4)squared=-12x

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    then you do not have to complete the square, I have plenty of videos similar

  • @johnyzerbation1623
    @johnyzerbation1623 Жыл бұрын

    0:19 there's nothing terrible there though

  • @erikpogosyan7736
    @erikpogosyan77368 жыл бұрын

    how is square root of 7 3.65???

  • @brianmclogan

    @brianmclogan

    8 жыл бұрын

    +Erik Pogosyan it is not it is approximately 3.65

  • @fairoozzahin4414
    @fairoozzahin44145 жыл бұрын

    Can someone help me with this? thank you. The graph of y = −x4 + 12x − 18 (A) intersects the x-axis at exactly one point. (B) intersects the x-axis at exactly two points. (C) intersects the x-axis at exactly three points. (D) intersects the x-axis at exactly four points. (E) does not intersect the x-axis.

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    Sorry I am unable to focus on problems outside of class but hopefully someone can help

  • @fairoozzahin4414

    @fairoozzahin4414

    5 жыл бұрын

    Not nice for a teacher but thanks anyway

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    not nice? I do what I can to help but there is simply not enough time in the day for me to answer specific questions I receive every day. I hope you would understand that

  • @fairoozzahin4414

    @fairoozzahin4414

    5 жыл бұрын

    Now hold on...you have the time to reply to a video over 5 years old but you don't have time to even bother reading the question seeing if it's possible to help. Why the heck would I ask if I wasn't soo desperate because I don't have anyone to ask . But no... go back to your business. This is the condition of things half way around the world. So much for asking for HeLp...LMAO BYE

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    I did read your question, and was unable to determine a quick answer that I could provide. I try to help as much I can but do received a lot of questions and just simply unable to help everyone that has a question.