Graphing a reciprocal function with transformations

👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical stretch/compression, h is a shift to the left (if h is positive) or to the right (if h is negative) and k is a shift up (if k is positive) or down (if k is negative).
To graph a reciprocal function, we first sketch the graph of the parent function f(x) = 1/x and then apply the required transformations.
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Organized Videos:
✅ How to Graph Rational Functions
• How to Graph Rational ...
✅ Graph Reciprocal Functions | Learn About
• Graph Reciprocal Funct...
✅ How Graph the Reciprocal Function
• How Graph the Reciproc...
✅ Find the x and y-intercepts of a Rational Function
• Find the x and y-inter...
✅ How to Graph Rational Functions with Asymptotes
• How to Graph Rational ...
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Пікірлер: 141

  • @alexchen7381
    @alexchen73815 жыл бұрын

    Destin, that's exactly why you need to be looking up here.

  • @stevenjones8575

    @stevenjones8575

    4 жыл бұрын

    Alex Chen He was too busy admiring some laminar flow.

  • @dunamoose3446

    @dunamoose3446

    3 жыл бұрын

    Don't mind him, he's getting smarter every day.

  • @y0da._.

    @y0da._.

    8 ай бұрын

    Yeah destin

  • @johnatkins1484
    @johnatkins14845 жыл бұрын

    When u see this guy when looking for a tutorial u know ur grade is going to go up.

  • @AR-bp7fe
    @AR-bp7fe5 жыл бұрын

    I love this man. He makes everything so easy and clear.

  • @MrCookieMonster
    @MrCookieMonster5 жыл бұрын

    If only I paid this close attention to my teacher

  • @minyo80
    @minyo803 жыл бұрын

    I was struggling with reciprocal functions but everything is so clear and easy now. Thanks a lot!

  • @Vanillabean321
    @Vanillabean3213 жыл бұрын

    This was exactly what i needed in a super straight forward explanation and example. Thank you!

  • @austinpoitevint1366
    @austinpoitevint13663 жыл бұрын

    7 years later and this guys saving me from failing the quarter, he is actually a good teacher unlike my real one haha

  • @vinhpham6541
    @vinhpham65416 жыл бұрын

    ''no idea'' 7:01 lol

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    haha

  • @noblevenom2858

    @noblevenom2858

    2 жыл бұрын

    @@brianmclogan hi

  • @kiwi-sk3eo
    @kiwi-sk3eo4 жыл бұрын

    we need teachers like you.thank you sir :D

  • @aurora-we9tt
    @aurora-we9tt9 ай бұрын

    you're SAVING. MY. LIFE. right now 💖

  • @laurenyoon3298
    @laurenyoon32984 жыл бұрын

    the best math teacher i will never have

  • @ShubhamDhingra15
    @ShubhamDhingra158 жыл бұрын

    Sir you are amazing..!!! You look like even PitBull.. Students must definitely enjoy in ur class

  • @brianmclogan

    @brianmclogan

    8 жыл бұрын

    +Shubham Dhingra haha couple times I received that comment, i'll take it, happy to be able to help you out!

  • @ShubhamDhingra15

    @ShubhamDhingra15

    8 жыл бұрын

    thank you very much sir #gracius i wish i could actually be a part of ur classroom... :) greetings!!

  • @giangel2228
    @giangel22284 жыл бұрын

    THANK YOU SO MUCH!!! THIS IS EXACTLY WHAT I NEEDED:)

  • @christinagonzales3733
    @christinagonzales37333 ай бұрын

    Honestly, I'm so grateful for your videos, they are a lifesaver. Thank you!

  • @JVB012
    @JVB0129 жыл бұрын

    Great explanation and easy to follow! Thank you!

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    JVB012 you are very welcome! happy to be able tohelp!

  • @stephenfox875
    @stephenfox8753 жыл бұрын

    Yo idk who you are but thanks a lot. Every time when idk what’s going on in math class I watch your videos and it helps me get back on track.

  • @porscheowns16
    @porscheowns168 жыл бұрын

    Thank you very much! awesome video and you explain the information so clearly !

  • @brianmclogan

    @brianmclogan

    8 жыл бұрын

    +jack ripper happy to help!

  • @alial-hijji4474
    @alial-hijji44743 жыл бұрын

    Thank you so much sir, i am doing my first mock this Saturday. Your videos helped me a lot, i thank you for everything and wish you the best

  • @gloriapatterson12
    @gloriapatterson12 Жыл бұрын

    thank u for the help!!

  • @aaliyahbrown1611
    @aaliyahbrown16115 жыл бұрын

    This helped sooo much!! Thank youuu!!!

  • @pannalaalpaani2041
    @pannalaalpaani20412 жыл бұрын

    Thx for the explanation, rlly helps me a lot

  • @wrongdoer9252
    @wrongdoer92525 жыл бұрын

    Thanks and excellent way of teaching👌👌

  • @paytherent
    @paytherent6 ай бұрын

    This man is literally carrying my grades rn

  • @babarm9815
    @babarm98158 жыл бұрын

    OMFG YOU'RE THE BEST

  • @y0da._.
    @y0da._.8 ай бұрын

    I want a teacher like him the kids r so comfortable🤣🤣🤣🤣

  • @jackmayor4905
    @jackmayor49052 жыл бұрын

    If mr world wide was a math teacher.

  • @thedailygrind8
    @thedailygrind83 жыл бұрын

    what an unthankful class, I wish I had him as teacher!

  • @TW3EK69
    @TW3EK698 жыл бұрын

    Thanks Man 👌

  • @zacksargent
    @zacksargent4 жыл бұрын

    I wish I had a teacher like you

  • @malibumouse
    @malibumouse9 ай бұрын

    Thanks for this easy tutorial. May Allah bless you

  • @skippin
    @skippin2 жыл бұрын

    thank you!

  • @alexmustata4089
    @alexmustata40896 жыл бұрын

    I have a math test tomorrow. Clear and concise explanation. Thanks!

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome!

  • @dylanmewett9164
    @dylanmewett9164 Жыл бұрын

    i know this is KIND OF late but how would you find the position of the middle of the curve? like the closest point on the curve that approaches the intersection of asymptotes

  • @azfarhasan5435
    @azfarhasan54353 жыл бұрын

    'no idea' lmaoo, i can only respect the honesty

  • @101Gamer
    @101Gamer6 жыл бұрын

    YOUR THE BEST TEACHER ON EARTH

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    just happy to help

  • @vaccobonson4530

    @vaccobonson4530

    5 жыл бұрын

    @@brianmclogan sir, how we will define effect of 'a'on this graph. Can we compare this with effect of 'h'

  • @whatsthisaboveme6064
    @whatsthisaboveme60645 жыл бұрын

    Have you done a video for this topic but with X&Y intercept i have a test on Tuesday but i don't know how to do the X &Y intercept

  • @oliviag3291
    @oliviag32916 жыл бұрын

    this is great thank you!

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome Olivia!

  • @calistawithay106
    @calistawithay1065 жыл бұрын

    Savage- 7:00 "Destin, what value can I not put in for x? Okay, that's exactly why you need to be looking up here."

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    haha

  • @bathong188
    @bathong1889 жыл бұрын

    Thank you for the video

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    bathong188 you are very welcome! happy to be able to help you out

  • @omirmajeed3628
    @omirmajeed36285 жыл бұрын

    I have a college test tomorrow on this. This helped me out a lot! Thank you so much!

  • @fairyfloss5386

    @fairyfloss5386

    4 жыл бұрын

    I’m in yr 10 doing this agghh 😫

  • @ZAsym

    @ZAsym

    4 жыл бұрын

    @@fairyfloss5386 lul im in 13 doing this again

  • @faculty6272
    @faculty62726 жыл бұрын

    i swear if you say "asymptope" one more time...

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    asymptote 😉

  • @caramelmacchiato9193

    @caramelmacchiato9193

    4 жыл бұрын

    Asymptope

  • @TheUltimateDestroyer

    @TheUltimateDestroyer

    3 жыл бұрын

    asymptope gang

  • @hunzalashahid4000
    @hunzalashahid40004 жыл бұрын

    love how the guy writes 'ko' in Japanese at 0:53 by mistake XD

  • @eesaarashid1954
    @eesaarashid19546 жыл бұрын

    Brilliant explanation

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    thank you!

  • @vithyaakumar8778
    @vithyaakumar87782 жыл бұрын

    Are you able to tell me, how you figured your a,h and k values. As far as I know f(x)=a{k(x+d)}+c. So how can you tell it in this case?

  • @gosnimm7624
    @gosnimm76244 жыл бұрын

    is range the A or K that cannot equal to 2?

  • @shathiswaryroysaravanan2069
    @shathiswaryroysaravanan20696 жыл бұрын

    Seriously thank u

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    you are very welcome!

  • @fahadmustafa650
    @fahadmustafa6505 жыл бұрын

    thanks SIR u explained well

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    You are very welcome Fahad.

  • @peachymango_
    @peachymango_5 жыл бұрын

    How do you explain the stretch of a=2? Like for example, translation of graph by 4 units in the +ve x direction, replace x with x-4. Theres also reflection, but I've not heard of stretching of graph by ×2.

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    hard to actually sketch and see the difference, best bet is to use desmos.com to actually graph different variations so you can see how each transformations affects the graph

  • @nestic391
    @nestic3919 жыл бұрын

    Thank you

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    Nesti C you are very welcome!

  • @jinukyang3501
    @jinukyang35015 жыл бұрын

    does anyone know what the numerator is referring to? which is 2 in here

  • @Harry_johnson100
    @Harry_johnson1006 жыл бұрын

    how would you find the x intercept and the y intercept then?

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    x-int y=0(or(f(x)) y-int x=0

  • @michealrobert3318
    @michealrobert33189 жыл бұрын

    GrEaT tHaNkS!!! :)

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    micheal robert you are very welcome!

  • @sc-xd4tm
    @sc-xd4tm4 жыл бұрын

    is there another video i need to see to find what it's a and h.

  • @Dacatman25
    @Dacatman25 Жыл бұрын

    last minute study session for pre calc and remembered i might have to use this, forgot how to beforehand and now it's crunch time

  • @brianmclogan

    @brianmclogan

    Жыл бұрын

    I’m you got this

  • @CRDGaming
    @CRDGaming4 жыл бұрын

    Why is the first one right 4 it isn’t in brackets?

  • @omargazia616
    @omargazia6163 жыл бұрын

    I think the a is positive so the shape should be at the region 2 - 4 I mean that the shape should be the opposite side of the graph RIGHT?

  • @keenanpaterson783
    @keenanpaterson7835 жыл бұрын

    Ohhh now I get it

  • @mujaahidbin-zahid2406
    @mujaahidbin-zahid24064 жыл бұрын

    He keeps saying asymptope when its asymptote lol

  • @chinmaygupta1530
    @chinmaygupta15305 жыл бұрын

    I got a studypug ad lol

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    yea,.......

  • @nirzareepandya2200

    @nirzareepandya2200

    5 жыл бұрын

    Ha, never paying for that

  • @imogenoakland6007
    @imogenoakland60075 жыл бұрын

    I envy the ppl who have him as their teacher 😗👌

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    😍

  • @sua6887
    @sua68873 жыл бұрын

    I wonder how is Dustin doing right now

  • @jacoblever5377
    @jacoblever53773 жыл бұрын

    Rip destin

  • @batsi__m7558
    @batsi__m75586 жыл бұрын

    Does the graph touch the asymptotes????

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    no

  • @emanaijaz9018
    @emanaijaz90185 жыл бұрын

    ur 100000000000x better then my math teacher. i have 20 mental breakdowns a day cuz of him.

  • @cyberslasho8
    @cyberslasho82 ай бұрын

    It makes me unreasonably angry that he says "Asymptope"

  • @ahmetdemir1733
    @ahmetdemir17335 жыл бұрын

    How do you know that the range doesn’t include 2. Like why is there a restriction on y=2

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    horizontal asymptote

  • @ahmetdemir1733

    @ahmetdemir1733

    5 жыл бұрын

    Brian McLogan ohh thank you so much

  • @manlikesfadz1894
    @manlikesfadz18943 жыл бұрын

    Is it just me or he looks like randy orton

  • @user-wm7xj9kg8o
    @user-wm7xj9kg8o5 жыл бұрын

    What the difference between the reciprocal functions and rational ?? ??

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    reciprocal has a linear variable in the denominator and not a variable in the numerator. The parent function of the reciprocal function is f(x)=1/x. It is also considered a rational function just a special case of one

  • @user-wm7xj9kg8o

    @user-wm7xj9kg8o

    5 жыл бұрын

    thanks, you are my favorite teacher

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    happy to help!

  • @batsi__m7558
    @batsi__m75586 жыл бұрын

    🙌🙌🙌

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    : )

  • @fjanetan
    @fjanetan9 ай бұрын

    Hi sir. Can you write the function of this pls. Parent function: reciprocal Transformations: Shift the graph 2 units to the right, stretch it horizontally by a factor of 2, and shift it 2 units upward. Then, graph. Thanks!

  • @user-lm4fg8yi8y
    @user-lm4fg8yi8y6 ай бұрын

    🥰

  • @josephhyun9002
    @josephhyun90026 жыл бұрын

    Cmon Dustin

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    haha

  • @Happy-gv2mf
    @Happy-gv2mf6 жыл бұрын

    Do i teach at a private school? Normally, private schools have the best teachers

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    I teach at a public school and there are some other great teachers here. Never went to private school so can't compare

  • @101Gamer
    @101Gamer6 жыл бұрын

    Sorry what are asimtodes?

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    asymptotes are undefined values of a graph where the graph approaches

  • @mattheweberle5972
    @mattheweberle59726 жыл бұрын

    WHY CAN YOU NOT BE MY MATHS TEACHER 😭😭😭😭

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    I am just online

  • @Coolrsiwoamjsidi
    @Coolrsiwoamjsidi4 жыл бұрын

    Dmitri are you sure you got that?

  • @HamyK
    @HamyK4 жыл бұрын

    He looks like hitman

  • @pichirisu
    @pichirisu2 жыл бұрын

    "that's exactly why you need to be looking up here" - the kind of stuff teachers tell students and then wonder why students continue not to learn or understand. Imagine thinking ostracism is an effective teaching tool.

  • @pichirisu

    @pichirisu

    2 жыл бұрын

    Good math lesson though

  • @pj3953
    @pj39536 жыл бұрын

    why cant all math teachers be like this

  • @brianmclogan

    @brianmclogan

    6 жыл бұрын

    happy my videos help!!

  • @nintenho
    @nintenho3 ай бұрын

    I got a 0/38 on my math quiz

  • @clinteastwood3064
    @clinteastwood30643 жыл бұрын

    Better to explain limits and then graphs.

  • @o.mar.3851
    @o.mar.38513 жыл бұрын

    i still dont understand please help

  • @o.mar.3851

    @o.mar.3851

    3 жыл бұрын

    5:56 "WE ARE NOT DONE YET" just like my teacher

  • @snafu4714
    @snafu47144 жыл бұрын

    Demitry did you get that? Come on dude.

  • @killsense_
    @killsense_3 жыл бұрын

    why couldnt he be my teacher for ffs

  • @WalterUnglaub
    @WalterUnglaub Жыл бұрын

    It sounds as if you're saying "asymtope"? Don't you mean "asymptote"?

  • @corrohsivegaming7077
    @corrohsivegaming7077 Жыл бұрын

    damn it demitre I'm trying to learn here and you are distracting me

  • @user-jj4zb5jd6r
    @user-jj4zb5jd6r5 жыл бұрын

    Hi are you single

  • @brianmclogan

    @brianmclogan

    5 жыл бұрын

    married with two kids and a dog

  • @user-jj4zb5jd6r

    @user-jj4zb5jd6r

    5 жыл бұрын

    Any chance I can be your dog

  • @Vayanovic

    @Vayanovic

    4 жыл бұрын

    @@user-jj4zb5jd6r LMAO

  • @sarahmohammed9778
    @sarahmohammed97785 жыл бұрын

    Not helpful I didn't understand

  • @AyrtonTwigg
    @AyrtonTwigg9 жыл бұрын

    1000x better than my math teacher.

  • @brianmclogan

    @brianmclogan

    9 жыл бұрын

    Bestchessmind : ) Just trying to do the best I can for students like you