Learning to Graph the Sine Function with Transformations

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  • เผยแพร่เมื่อ 15 ธ.ค. 2024

ความคิดเห็น • 76

  • @claralobsiger4284
    @claralobsiger4284 3 ปีที่แล้ว +54

    It’s sad how an 11 minute video on 2x speed has made me understand this entire lesson whereas my teacher’s almost two weeks of ‘teaching’ this only confused me. Thank you so much 😭

    • @claralobsiger4284
      @claralobsiger4284 3 ปีที่แล้ว +1

      @Ellis Royce You’re right. I don’t care

  • @euowol
    @euowol 2 ปีที่แล้ว +5

    I'm going to need to write you a "Thank You" letter when I graduate. You're the sole reason I am making through my math courses.
    Thank you very very much.

  • @esdths
    @esdths 5 ปีที่แล้ว +14

    Here on Brian's videos because some teachers are absolutely incompetent. Thank God for this man!

  • @joshbrown8291
    @joshbrown8291 5 ปีที่แล้ว +15

    These math videos are awesome because they always fill in the important blanks that my professor never manages to mention.

  • @cjuneholl
    @cjuneholl 2 ปีที่แล้ว +8

    Shouldn't this phase shift have been in the other direction? When I plug in the pi/2 and 3*(Pi/2) for x I get 0 and 2 respectively.

    • @mohinibarrett3347
      @mohinibarrett3347 2 ปีที่แล้ว +1

      That's what I thought too. The phase shift is positive so the zero should be at pi/2

  • @dylanleisler5327
    @dylanleisler5327 4 ปีที่แล้ว +3

    Thank you for illustrating the influence a period change has on the c. It is an issue I've had multiple times.

  • @mehershrishtinigam5449
    @mehershrishtinigam5449 6 ปีที่แล้ว +24

    the graph's initial period should start at π/2 right? Even in desmos it starts at π/2?

  • @mibuuphuong9797
    @mibuuphuong9797 8 หลายเดือนก่อน

    I am truly appreciate you and your teaching method. Your videos are awesome and very easy to understand. Thank you so so so much.

  • @mohineesharma4697
    @mohineesharma4697 2 ปีที่แล้ว +3

    I know this video was posted a long time ago but since this is a big platform and many could be getting the wrong information I was to say I believe you grpahed this wrong @BrianMcLogan this function should start at (pi/2, 0) because sine starts at the sinusoidal axis which is y = 0 for this function. The points should be (/pi/2, -2) (pi/2, 0) (3pi/2 , 2) (5pi/2 , 0) (7pi/2 , -2) to graph this.

    • @brianmclogan
      @brianmclogan  2 ปีที่แล้ว

      Can you timestamp what point I made the mistake so I can review and correct?

    • @mohineesharma4697
      @mohineesharma4697 2 ปีที่แล้ว +1

      @@brianmclogan Yes ofcource, I believe it was 10:25 where you did it.

  • @JeramiaValentine
    @JeramiaValentine 3 ปีที่แล้ว +6

    "actually you know what you're in luck" ... I love how he makes you feel as if you've won something ;p

  • @Credalfen
    @Credalfen 2 ปีที่แล้ว

    This is such a great teacher.

  • @mohinibarrett3347
    @mohinibarrett3347 2 ปีที่แล้ว +3

    Very helpful video but please check the last step in drawing the graph. You should have put zero on the pi/2

  • @keshaagrawal8530
    @keshaagrawal8530 ปีที่แล้ว +1

    you explained really well but the graph should start from the origin at pi/2.

  • @ijose3070
    @ijose3070 5 ปีที่แล้ว +15

    The final graph should start from pi/2 going up, I think the phone distract u,

  • @grantlieberman3444
    @grantlieberman3444 5 ปีที่แล้ว +1

    To find the phase shift couldn’t you also multiply pi/4 by 2 because that’s how much period increased by and if you simplify that you still get pi/2

  • @Keepcalmliveon5
    @Keepcalmliveon5 4 ปีที่แล้ว +6

    I got anxiety when he told one of the students to put their phone down and I haven't been in high school in 6 years lol

  • @CostelloAidan
    @CostelloAidan 5 ปีที่แล้ว +16

    3:15 LOL

    • @ic9459
      @ic9459 3 ปีที่แล้ว +1

      Uh oh a test.

  • @hopahop8071
    @hopahop8071 6 ปีที่แล้ว +1

    Professor do you have a video that explains the adding and the subtracting of the Pi fractions ? Because thats what’s confusing me through the whole video.

  • @h4ikuz4k53
    @h4ikuz4k53 4 ปีที่แล้ว

    Why did you divide by 4 to get the x-scale?

  • @depressedoptimist6168
    @depressedoptimist6168 5 ปีที่แล้ว +1

    I appreciate it. You're doing good work.

  • @ChinInMas
    @ChinInMas 6 ปีที่แล้ว +6

    10:54 i think the graph should start from pi/2. Because i get 0 when i sub pi/2 into the sin equation

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +8

      that is correct! thank you for noticing and posting

    • @FitHappyAndBlessed
      @FitHappyAndBlessed 6 ปีที่แล้ว +1

      Great video. Your instruction is very clear. I especially appreciate that you validated Ng Chin Eon's observation. The presentation did not clearly lay out which way to shift. My guess is that you got distracted by the visitor and skipped over the direction. Thanks for clarifying.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      You are welcome! Happy to help you out.

  • @huyyivong7232
    @huyyivong7232 4 ปีที่แล้ว

    Shouldn't the parent function only have 1 as its amplitude since the 2 amp should be the stretch only for this one right because its 2sin and not just sin? Love your videos. They are a very good review for me. Thank you.

  • @leenyellow
    @leenyellow 7 หลายเดือนก่อน

    Thankyou!!!❤

  • @rajpapineni5504
    @rajpapineni5504 5 ปีที่แล้ว

    why is the intercept at π/2 instead of π/4? I'm confused because inside the parenthesis it's (x/2-π/4)

  • @cantisinferno
    @cantisinferno 3 ปีที่แล้ว

    i love this man

  • @dibong5678
    @dibong5678 4 ปีที่แล้ว

    Isn't c the phase shift??

  • @jeremeybunion2365
    @jeremeybunion2365 3 ปีที่แล้ว +2

    Someone got caught vaping in the bathroom at 3:02

  • @maham5893
    @maham5893 4 ปีที่แล้ว

    shouldnt the sine graph start from the midline instead of starting from 2

    • @jaspreetaujla512
      @jaspreetaujla512 3 ปีที่แล้ว

      Graph is starting at pi/2 and that’s the zero x intercept but I don’t know why Professor made it maximum point? 😟

  • @kaifox101
    @kaifox101 4 ปีที่แล้ว

    thanks helped a lot

  • @sanjeevnethaji8299
    @sanjeevnethaji8299 ปีที่แล้ว

    The GOAT💪🐐

  • @byronscott3360
    @byronscott3360 3 ปีที่แล้ว

    great teacher helped me heeps

  • @ClumpypooCP
    @ClumpypooCP 7 ปีที่แล้ว

    Shouldn't the red graph be shifted pi/2 to the right? because it was -pi/2 in the function?

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +1

      no the x/2 changes that shift

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +1

      try it on desmos

    • @ClumpypooCP
      @ClumpypooCP 7 ปีที่แล้ว

      Brian McLogan but if you have (x-pi/2) in the argument of sine/cos, you would translate pi/2 units to the right, right?

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      if it is (x-pi/2 then yes that is correct, if it is ((x/2)-pi/2) then it is pi to the right. Basically set the argument equal to zero and solve

    • @ClumpypooCP
      @ClumpypooCP 7 ปีที่แล้ว

      Brian McLogan Oh yeah I see, cool. I actually had my trig graph/equation test today. The only question i got wrong was what are the asymptotes of y=csc3x. such a dumb mistake lol cause that question is really straightforward, i just was going too fast. Most likely gonna get 47/48 on the test. Right now im getting 97% in the class. Do you think that test mark will improve it? I'm really aiming to get 98% or 99% in the class, we got 3 tests + the exam to go...

  • @FailedChadLite
    @FailedChadLite 4 ปีที่แล้ว +1

    Looks like you shifted it left instead of right

  • @surajp594
    @surajp594 5 ปีที่แล้ว

    Thank you sir,👍

  • @octoberwilliams2166
    @octoberwilliams2166 6 ปีที่แล้ว

    how do we know that theres no shifting?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      there is a shift, pi/2 to the right

  • @iUseTrees
    @iUseTrees 7 ปีที่แล้ว

    Thank you so much

  • @hectorordonez1917
    @hectorordonez1917 2 ปีที่แล้ว

    Good class teacher and Thank you!!!! But Whole ok
    But the final grafic seems to me Wrong. Supouse to star Sin grafic in (0, Pi/2)
    By the grafic you are assuming ×=Pi/2 them Y=2 ( Wrong)
    If: x=Pi/2 Y= 0 ( Correct )

  • @tajbibishamim8085
    @tajbibishamim8085 4 ปีที่แล้ว

    That green pen is very light, difficult to read close up numbers and symbols.

  • @mayrabreault9006
    @mayrabreault9006 7 หลายเดือนก่อน

    The graph is shifted pi/2 to the right

  • @qt4279
    @qt4279 6 ปีที่แล้ว

    you explained it very well. thanks this video saved me!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      you are very welcome Tina.

  • @luzdc9
    @luzdc9 5 ปีที่แล้ว

    the teacher forgot to calculate the end of the period, (which is the period shifted by pi/2) which is 4pi + pi/2 = 9pi/2. So that the period goes from pi/2 to 9pi/2.

  • @planterina_abhish
    @planterina_abhish 6 ปีที่แล้ว

    for x=pi/2 y=0 we plot points and dont need to shift the graph

  • @qualquan
    @qualquan 6 ปีที่แล้ว

    good job explaining effect of 'b' on 'c' but then the screw up of x shift direction pointed by several.
    also poor contrast of ink on white board and untidy writing.
    the first point made a lot of amends for the rest, so thank you.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      yea could have made the video better but glad you extracted some value

    • @williammatthew5920
      @williammatthew5920 6 ปีที่แล้ว

      Brian mate it’s a great video and helped me a lot cheers ❤️

  • @LukeK813
    @LukeK813 5 ปีที่แล้ว +1

    goat

  • @vladm.6859
    @vladm.6859 5 ปีที่แล้ว +4

    you sketched the graph wrong. it starts at pi/2 where its value is 0 (not 1) and goes on until 9pi/2 where its value is again 0 not 1.

    • @DailySimplicity
      @DailySimplicity 5 ปีที่แล้ว +1

      yeah I got confused until I realized the graph was wrong

    • @jaspreetaujla512
      @jaspreetaujla512 3 ปีที่แล้ว

      Yes, you are correct, I also found the same problem.

  • @Simasofa
    @Simasofa หลายเดือนก่อน

    it is incorrect, you have a max at 3pi/2.

  • @mathsonlineacademy9852
    @mathsonlineacademy9852 4 ปีที่แล้ว

    the parent graph not correct

  • @planterina_abhish
    @planterina_abhish 6 ปีที่แล้ว

    Sorry sir i was wrong.

  • @teruelryanpaul
    @teruelryanpaul 4 ปีที่แล้ว

    Carol cheated?

  • @denvercharle
    @denvercharle ปีที่แล้ว

    Your parent function is wrong. The max point should be at 1.

  • @vunc70
    @vunc70 2 ปีที่แล้ว

    wrong graph. should shift to the right, not left!!!