How to Graph the Sine Function by Applying a Phase Shift and Vertical Translation

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  • เผยแพร่เมื่อ 16 ม.ค. 2025

ความคิดเห็น • 141

  • @dimateo9800
    @dimateo9800 5 ปีที่แล้ว +305

    You deserve a fraction of my tuition fee, you make more sense than my teacher

    • @angr5383
      @angr5383 5 ปีที่แล้ว +1

      wMathew Kaunda dame

    • @zeebloxyt7728
      @zeebloxyt7728 3 ปีที่แล้ว +12

      This guy saves my life with this math problem which is no use in my future

  • @elizabethhansel2655
    @elizabethhansel2655 6 ปีที่แล้ว +178

    Thank you so much for making these videos! My teacher doesn't teach our class in a way that any normal person could understand. All of the kids are struggling. I spent the entire Easter weekend watching your videos and I finally understood how to graph sine functions thanks to your videos. I took the test today and I got a 99%!!!!! Unfortunately, the rest of the class got C's and these are some very smart kids. I'm going to be suggesting your videos to everybody :)

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +39

      happy to be there for you Elizabeth! keep up the hard work, and thank you for sharing the love

  • @lettuce2257
    @lettuce2257 5 ปีที่แล้ว +18

    If only I had teachers like you that actually take their time to explain the lesson.
    Edit: Btw my brother recommended your channel, he watches your videos and it helps him a lot

  • @czcensus9266
    @czcensus9266 4 ปีที่แล้ว +10

    Thank you. I have been struggling with this for 2 weeks, doing khan academy problems over and over and not getting them right. Finally this video of yours lit the light. Now I have to find one of your videos to learn to write the function from the graph. Thank you, thank you.

    • @trustlaks
      @trustlaks 2 ปีที่แล้ว

      Same man, they never taught it and I struggled with it

  • @Sultan_A
    @Sultan_A 9 หลายเดือนก่อน +1

    “Very Good, Keep It Uuuup”

  • @harshdadhich9164
    @harshdadhich9164 5 ปีที่แล้ว +19

    5:29 cap was like ight imma head out

  • @jstewart8118
    @jstewart8118 6 ปีที่แล้ว +2

    These videos have been around for years and still help so many students (myself included). You are a great professor. Thank you.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      you are very welcome Jake!

  • @mamadetaslimtorabally7363
    @mamadetaslimtorabally7363 7 หลายเดือนก่อน +1

    Even as a Maths teacher myself, I find your videos fantastic Brian. Great work from you. Your videos never get outdated. They are quite a resource actually and always helpful in many ways. Thanks a lot.

  • @MFblasphemy
    @MFblasphemy 2 ปีที่แล้ว +2

    Honest to god, you make my brain get this stuff in fractions of what it takes a professor in my college. I know you have heard it from me before, but thank you so so much!
    - Michael

  • @mwilson042290
    @mwilson042290 9 ปีที่แล้ว +12

    Thank you for taking the time to make this! You're a wonderful instructor- very clear and easy to follow. Thanks!

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว +2

      +mwilson042290 thank you very much! happy to be able to assist you

  • @randallstanaway7846
    @randallstanaway7846 4 ปีที่แล้ว +5

    Thank you, Brian, for providing numerous videos on the same topic, it has really helped me to fully grasp some of these concepts!

  • @andreahernandez9014
    @andreahernandez9014 4 ปีที่แล้ว +7

    0:46 Me as a 2-year-old trying to imitate a sheep

  • @colettepollauf5948
    @colettepollauf5948 5 ปีที่แล้ว +2

    Oh my god thank you so much I have my tenth grade math final soon and I have tried to get my teacher to explain to me how to graph a trig function with a phase shift so many times. I've never heard of the x-scale before and it makes SO MUCH SENSE when you put it like that. Your videos have helped me so much this year! Thanks!

  • @manpreetk.462
    @manpreetk.462 2 ปีที่แล้ว +2

    I just want to say, I rarely comment on TH-cam but this video helped a lot. Like many others I was having trouble with this but you made it so easy to understand. Thank you for your videos!!

  • @zorinize9881
    @zorinize9881 ปีที่แล้ว +1

    I have to learn from you, always. My teacher barely teaches nor bothers to help struggling students. So thank yoy

  • @samueladdy3464
    @samueladdy3464 3 ปีที่แล้ว

    You are what the world needs

  • @jacquelineoc1168
    @jacquelineoc1168 28 วันที่ผ่านมา

    THANK YOU SO MUCH YOU ANSWERED EVERY SINGLE QUESTION I HAD WITH SUCH CLARITY AND REASON

  • @ajbasc
    @ajbasc 4 ปีที่แล้ว +2

    omfg thank you i am struggling so hard in pre calc rn cause everything is online. this made sense i love you

  • @bufdud4
    @bufdud4 5 ปีที่แล้ว +10

    THANK YOU SO MUCH U JUST SAVED MY LIFE I WAS ABOUT TO KMS

  • @nickalosrizzato
    @nickalosrizzato 5 ปีที่แล้ว

    thank god for people like you.

  • @anduamlakbade3292
    @anduamlakbade3292 6 ปีที่แล้ว +1

    keep up the hard work. you have no idea how many people you are helping!!!

  • @cheesehackerwoah9020
    @cheesehackerwoah9020 5 ปีที่แล้ว +2

    Thankyou Sir, for breaking the function in detail. Now I get it.👌🏼awsome!!

  • @alazander2116
    @alazander2116 ปีที่แล้ว +1

    This is more informative and easy to understand than my college level course taught by a Professor

  • @أبوصالحالمطوع
    @أبوصالحالمطوع ปีที่แล้ว

    Thank you very much .. here after 8 years, we are watching this video and improving our self
    Thanks ❤

  • @kiracook512
    @kiracook512 3 ปีที่แล้ว +2

    You have helped me so much! I cannot thank you enough :)

  • @isaacb3850
    @isaacb3850 4 ปีที่แล้ว +2

    Better than organic chemistry tutor

  • @smd785
    @smd785 4 ปีที่แล้ว +1

    He is saving my teacher’s life🥵🥵🥵🥵🥵thank you!!! My nice teacher is so terrible at teaching, I was worrying about getting a nervous breakdown...but I finally get this..I almost don’t believe it😢😢😊😊

  • @Kikisnu
    @Kikisnu 2 ปีที่แล้ว

    These videos are so helpful!! I hope your students appreciate that they have an amazing teacher!

  • @burseebee959
    @burseebee959 4 ปีที่แล้ว

    Thank you so much!! I do Kumon, and right now I'm doing this. They don't really teach you how to do it, but learning from your videos helps me to stop just estimating whatever I do. Again, thank you so much!

  • @noemitordoya-rivero9811
    @noemitordoya-rivero9811 2 ปีที่แล้ว +2

    i really appreciate your videos so much. youve saved me so many headaches and breakdowns :) my teachers lectures are pretty lengthy and wordy so its hard to keep up but you do a great job in simplifying it for someone who is terrible at mathematics!

    • @stormygamingyt6734
      @stormygamingyt6734 ปีที่แล้ว

      Hey buddy, dont say you are terrible at mathematics. Everyone is great at Mathematics. It's just the mindset that chooces whethere you are good or bad

  • @Henfrig
    @Henfrig 3 ปีที่แล้ว

    I always cheer when you get closer to the answer. These videos are hype af

  • @30_shrishtiverma97
    @30_shrishtiverma97 4 ปีที่แล้ว

    loved it ,I'm a indian student and u just nailed topics with ur teaching,,
    love nd blessings from India🙏🙏

  • @rachelrobinson114
    @rachelrobinson114 6 ปีที่แล้ว

    best professor online by far

  • @sarahbawa736
    @sarahbawa736 5 ปีที่แล้ว +4

    your videos have honestly helped me a lot in terms of math and trig functions/graphing. I pray that God blesses you abundantly for all the good work you are doimg!

  • @jennyhernandez5830
    @jennyhernandez5830 7 ปีที่แล้ว +2

    HEY OMG I LOVE YOU!!! Thank you for teaching me and putting these up!!!!

  • @hamsandwich7757
    @hamsandwich7757 ปีที่แล้ว

    i never thought to graph Horizontal phase shift like that! Thanks, I have a trig test today. Subbing

  • @eugeneperryman9545
    @eugeneperryman9545 2 หลายเดือนก่อน

    The commercials interfere with my ability to follow the lesson but I like that you are doing this and I love the subject matter .

  • @s.k.vi4life832
    @s.k.vi4life832 ปีที่แล้ว

    You truly make more sense than my teacher

  • @architgupta4433
    @architgupta4433 6 ปีที่แล้ว +31

    lmao i wonder if he looks at the camera or his students

  • @anpomo6874
    @anpomo6874 6 ปีที่แล้ว +8

    wow is so cool!!!!!! I'm Korean student. I'm surprised by your teaching skill. If you upload the Korean cc you can understand better than now !!!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      I agree, unfortunately I have so much content it is hard for me to even cc in english but would love to offer that

    • @diegojoaquinsanchezalatris6670
      @diegojoaquinsanchezalatris6670 5 ปีที่แล้ว +2

      Brian McLogan you can add auto generated CC it’s a setting right before you upload the video

  • @Love84-o9x
    @Love84-o9x 3 ปีที่แล้ว

    Thank you. I was struggling with my homework. Now, I got it.

  • @plasmicgaming8830
    @plasmicgaming8830 5 ปีที่แล้ว +1

    Thank you I've been watching videos and they help sooo much thank you for helping me get an A in college trig and on the final :)

  • @indianitgirlandmom7
    @indianitgirlandmom7 15 ชั่วโมงที่ผ่านมา

    Your video is very informative. Do you also take tuitions

  • @WNukeAPlanet
    @WNukeAPlanet 6 ปีที่แล้ว +1

    Thank you saved my grade.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      happy to help you out William

  • @justnel4
    @justnel4 5 ปีที่แล้ว

    Sweet video. Explained in 8 minutes what my professor explained in 50

  • @ruh_roh87
    @ruh_roh87 ปีที่แล้ว

    Oh my god this is PERFECT

  • @sofsell2725
    @sofsell2725 5 ปีที่แล้ว

    This fucking helped so much, youre a literal saint I love you

  • @jennyhernandez5830
    @jennyhernandez5830 7 ปีที่แล้ว

    You've helped me sooo much! In all your videos!!!

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +2

      happy to be able to help you

  • @fillertext778
    @fillertext778 6 ปีที่แล้ว

    Thanks for the help!

  • @zeebloxyt7728
    @zeebloxyt7728 3 ปีที่แล้ว +1

    Where u get the 3 4:00

  • @baharosman1416
    @baharosman1416 5 ปีที่แล้ว +2

    You said if it’s inside parentheses set it equal to zero
    BX-C =0
    Then what will be otherwise?

  • @edenbekele1490
    @edenbekele1490 10 หลายเดือนก่อน

    Really nice keep up

  • @urs2350
    @urs2350 4 ปีที่แล้ว

    waayyyy better than my lecture

  • @wallythedog92
    @wallythedog92 5 ปีที่แล้ว

    Ladies and Gentlemen!!!!!! love it

  • @nalansipahi-stallmann5263
    @nalansipahi-stallmann5263 4 ปีที่แล้ว

    i like it, thank you !

  • @ErfanhussainKamali
    @ErfanhussainKamali 7 หลายเดือนก่อน

    I wish you were my Methods teacher

  • @liv3201
    @liv3201 5 ปีที่แล้ว +1

    This may have just saved my trig grade... whew

  • @toyotaavelon4165
    @toyotaavelon4165 ปีที่แล้ว

    You deserve extrodinary compond function of $1 and each n number of function be 1 second, and you recive your income daily. Thank you teacher.

  • @ErmiasWoretaw-z6r
    @ErmiasWoretaw-z6r 2 หลายเดือนก่อน

    Babababababa😂😂 love you teacher

  • @iluvmazzystar
    @iluvmazzystar 4 หลายเดือนก่อน

    OMG THANKYOU

  • @favouronuoha9687
    @favouronuoha9687 7 ปีที่แล้ว

    Thank you so much

  • @mariaochoa383
    @mariaochoa383 2 ปีที่แล้ว

    Profe Brian si yo lo tuviera a usted de profe seria recia en matematica

  • @ariannaportillo7082
    @ariannaportillo7082 9 ปีที่แล้ว

    makes sense!!! THANK YOU

    • @brianmclogan
      @brianmclogan  9 ปีที่แล้ว

      +arianna portillo you are very welcome! happy to be able to help

  • @antikaesart
    @antikaesart 4 ปีที่แล้ว

    thanks

  • @Tritishsenthilkumar
    @Tritishsenthilkumar 5 หลายเดือนก่อน

    Words of a wise man: "bABabAba"-Brian Mclogan

  • @mexicobasado8177
    @mexicobasado8177 4 ปีที่แล้ว +1

    What is this used for in real life??

  • @connoryoung5297
    @connoryoung5297 4 ปีที่แล้ว +1

    0:35 Noscope?

  • @dagimabebe3166
    @dagimabebe3166 3 ปีที่แล้ว

    Brian i have an assignement and i felt difficulty to do.could u help me?how could i send the question??

    • @brianmclogan
      @brianmclogan  3 ปีที่แล้ว

      Only option I have is discord or answer on my Sunday livestream

    • @dagimabebe3166
      @dagimabebe3166 3 ปีที่แล้ว

      @@brianmclogan but tomorrow ,i will submit it

  • @sarayyepez3233
    @sarayyepez3233 7 ปีที่แล้ว +1

    How would you calculate the x-scale of y=3sin (5 (x-2pie/5))+2 and how would you graph it

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +1

      period divided by 4

    • @sarayyepez3233
      @sarayyepez3233 7 ปีที่แล้ว +1

      Ok so is this right the 2pie/5/4 *1/4 which equals 2pie/20 and then I simplify it and it equals pie/10

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +1

      you got it

  • @baharosman1416
    @baharosman1416 5 ปีที่แล้ว

    Love you from Iraqi Kurdistan!

  • @zenzon6075
    @zenzon6075 ปีที่แล้ว

    I have a test tomorrow. Please answer quickly 😢… how do you know when the phase shift is to the left of zero and not right? In other words why doesn’t it always start at zero

  • @mrmeowmeows7810
    @mrmeowmeows7810 6 ปีที่แล้ว

    VERY NICE

  • @christopher_bryant
    @christopher_bryant ปีที่แล้ว

    ty

  • @arturogonzalez6184
    @arturogonzalez6184 6 ปีที่แล้ว

    I'm having trouble with placing my x-coordinates on my graph, any videos you would recommend?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      remember you x-values are the angles, so just make sure you label the graph accordingly. I have multiple videos on this topic if you look at more examples at the end of the video

    • @arturogonzalez6184
      @arturogonzalez6184 6 ปีที่แล้ว

      so I should place my points with the respect of the angle of my triangle in the unit circle

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      so the way that I do it is the initial period has critical points at o, pi/2, pi, 3pi/2 and 2pi. keep adding and subtracting pi/2's to find more critical points. If you have a different period then take the period and divide it by 4 to find the new distance between each critical point. In this video the period is still 2pi, but the graph is shifted pi/6 to the left, so you will start at -pi/6 and then add/subtract pi/2 to get to the next critical points. remember that the critical points represent the max/min and x-intercepts of the graph, make sure you understand the parent graph of sine and cosine when trying to graph

    • @arturogonzalez6184
      @arturogonzalez6184 6 ปีที่แล้ว +1

      got it, thanks!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      awesome!

  • @pugilemoltobene3708
    @pugilemoltobene3708 6 หลายเดือนก่อน

    I was never this happy when I taught secondary math...

  • @O2Jworldwide
    @O2Jworldwide 5 ปีที่แล้ว

    Très bien

  • @nabilaislamkhan2273
    @nabilaislamkhan2273 6 ปีที่แล้ว

    this video helped me big time! but here is a question, if i had to plot a tan graph with the same phase shift, do I add pi/2 until i reach the 2nd x-scale? since tan graphs have a period of pi ? Please explain :((

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      well you can add pi to each critical value to obtain the next CV in the 2nd x-scale

  • @Hype_Machine
    @Hype_Machine 3 ปีที่แล้ว

    Hey man remember me. We met irl. My name is philp.

  • @rohandasgupta5797
    @rohandasgupta5797 3 ปีที่แล้ว +1

    when babies make sound 0:47

  • @Butters_Stotch530
    @Butters_Stotch530 3 ปีที่แล้ว +2

    0:48. A baby says:

  • @ericjamesmalot7403
    @ericjamesmalot7403 4 ปีที่แล้ว

    What's the x scale

  • @AwsomeCookie1
    @AwsomeCookie1 9 ปีที่แล้ว +2

    3:19
    Hey, what if the phase shift was positive pi/6? do i start at that point on the graph and then add pi/2 each time until i reach the 4th x-scale?
    Please help me :(

  • @GOOSEBUMPS1234
    @GOOSEBUMPS1234 ปีที่แล้ว

    🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥

  • @limesther7000
    @limesther7000 6 ปีที่แล้ว

    What if the starting point is pi and your period is -2pi? Do you graph backward (to the left direction)?
    It's the graph of sin(pi-x)

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      sinusoid functions are continuous from (-infinity, infinity) so yes your initial period could be thought of that way but you would continue graphing both directions

    • @limesther7000
      @limesther7000 6 ปีที่แล้ว

      Oh..okay. Thank you sooo much!! You and your videos are helping me tremendously :D

  • @1light4love
    @1light4love 5 ปีที่แล้ว

    Ok so.... I never heard it actually called an 'x-scale' and it makes sense how you apply it.... But why does your 4th x-pt from the Phase Shift not match the Period 2π??
    ...... And what use IS the period value in this case then....?? (🤔Missing something)

  • @sraavani4542
    @sraavani4542 ปีที่แล้ว

    tyy

  • @HadithWeekly
    @HadithWeekly 3 ปีที่แล้ว +1

    0:47 .....black sheep have you any wool?....

  • @hasankuliyev4211
    @hasankuliyev4211 6 ปีที่แล้ว

    why sin line is not touching 5pi/6?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      because it got shifted up 1 unit

  • @manavbhojwani1080
    @manavbhojwani1080 6 ปีที่แล้ว

    The zero shouldn't be there? Aren't u supposed to add π/2 to -π/6?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      I am not seeing anything wrong with my work, and not sure I understand your question/s

    • @manavbhojwani1080
      @manavbhojwani1080 6 ปีที่แล้ว

      Its all good, thanks to you I got full in my finals!!!😁😁

  • @planterina_abhish
    @planterina_abhish 7 ปีที่แล้ว

    You did -pi/6+pi/2=pi/3 but width is more than pi/2 while ploting it

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      what point in the video are you referring to?

  • @sophiaponce9641
    @sophiaponce9641 3 ปีที่แล้ว

    I love you

  • @elzarayhatter985
    @elzarayhatter985 4 ปีที่แล้ว +1

    He's just like my teacher, fast and uncaring

  • @kellycortes7106
    @kellycortes7106 7 ปีที่แล้ว +1

    🙏🏻

  • @sheila5018
    @sheila5018 ปีที่แล้ว

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    @jairgonzalez3624 2 ปีที่แล้ว +1

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    @vestafarhan7580 5 ปีที่แล้ว

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    @shootblades ปีที่แล้ว

    fk Knewton Alta

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    @adammarley5616 9 หลายเดือนก่อน

    ba ba ba ba ba 🤌

  • @cliffordmorris6091
    @cliffordmorris6091 2 ปีที่แล้ว

    I left a comment but it did not get printed. If you are doing a video accept it takes time and allow each concept the time needed before you go on. I do not need the maths content but why not spend time so that those learning it can keep up. Your formula helped but put it in a box then set out each example slowly showing your thinking process not punctuated with gasps, sighs and distracting moans.