Graphing Sine with a Phase Shift
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- Опубликовано: 4 окт 2024
- 👉 Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the vertical shift from the parent function) and the x-scale (the distance between the turns and the x-intercepts). After we have obtained these features, we plot the points on the graph and graph accordingly.
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Organized Videos:
✅ How to Graph Trigonometric Functions
• How to Graph Trigonome...
✅ How to Graph Tangent | Learn About
• How to Graph Tangent |...
✅ How to Graph Secant | Learn About
• How to Graph Secant | ...
✅ How to Graph Sine and Cosine | Learn About
• How to Graph Sine and ...
✅ How to Graph Trigonometric Functions | Learn About
• How to Graph Trigonome...
✅ How to Graph The Sine Function
• How to Graph The Sine ...
✅ How to Graph The Cosine Function
• How to Graph The Cosin...
✅ How to Graph The Tangent Function
• How to Graph The Tange...
✅ How to Graph The Cotangent Function
• How to Graph The Cotan...
✅ How to Graph Cosecant Function
• How to Graph Cosecant ...
✅ How to Graph The Secant Function
• How to Graph The Secan...
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#trig #graphing #brianmclogan
This guy is about 2 million times better than my own math teacher at school.... I which we had him
: ) happy to help
Wish?
School? Teacher? You mean professor! At college!
@@Jdoug305 MrCheeks, I feel that. My professor doesn't teach, she thinks out loud as she solves her own problems.
@@Jdoug305 not everyone is in college I have to learn this in 11th grade
You're out here saving lives, Mr. McLogan. Thank you so much for uploading these videos!
so helpful! i've been trying to grasp this concept for 2 weeks now, and just learned it in less than 8 minutes, thanks so much!!
you are very very welcome!
first day of trig, already confused, but not anymore thanks to this video
I am so cramming tonight for my trigo class, thank you very muchh
my teacher is no help, so I really had to come to youtube and i’m glad i actually found this. thanks!
you are very welcome! happy to help you out
I wasn’t able to get my head around sketching trig graphs, but now I do! I appreciate your work sir!
looks like a villain on breaking bad
Retaffaz He does have a bit of an aura of an actor about him. But don't tell Hollywood, they might steal him away from us!
This is the best teacher ever I am impressed
This channel is the only way I’m learning my math. My teacher doesn’t teach well and I’m so thankful for the channel
Thank you so much for this video! I have a test on Thursday so this is a life saver.
awesome! good luck
The best teacher ever.. Thank you teacher for this lesson,.... from Sri Lanka
A true educator; a true teacher.
This was way way easier to understand than my college prof's explanation. Ty
you are very welcome! keep up the hard work and stay curious
This is so helpful.
cool as long as it makes sense to you, that is great
you're a great teacher
i can't tell you how much this helped, thanks!!
For the first time in my 21 years of life trig functions actually make sense, thank you!
Thanks Sir you teach exellently I got it nicely. ❤❤ Love from India
i am even ahead of the lecture by watching Mr Brain McLogan. Thanks!
that is one of the most genius ways to draw a sine graph by drawing the dot, stopping and continuing. I'm actually mind-blown on how I haven't figured that out lmao
Really good and easy to understand. Thanks so much. You have a very good method to graph sine/cosine functions.
happy to help!
thANKS to the guy who questioned about pi/4 and 0 at the end.....btw this teacher teaches hell smoothly and clearly
Good board work and well explained
I'm about to go crazy from that stupid tutoring commercial.
yea, sorry about that
It's just every video on youtube with math has this SAME commercial lol. Like I'm frustrated and then I click a video and it's like "what, still searching youtube for math videos?" and it's like no I don't want to pay for your tutoring service when I can find dedicated RUclipsrs(like you) who can teach 10x better :)
You can't be too fast in teaching because we have slow learners
So far I we this guy all my math credits.. thank you so much!
wow. i seriously wanted to give a round of applause! setting your starting and ending to 0 and 2pi is very helpful!!!!!!!!!!! cant wait to show my other classmates. Horizontal shift is now going to be ACTUAL fun to do. HAHA THANK YOU
it does make it very eay, cheers!
This is video with such a quick method to solve the graph.. 😁 wonderful
awesome! happy to help
Thank you Sir..
from India
I am taking a math placement test to try and get in to college calculus and this video helped out tremendously with one of the questions. You did a great job walking me through it step by step. Thank you!
you are very welcome Andrew! best of luck on your exam and I have Calc videos too
I subscribed to your channel so I will be sure to watch them once i begin the class!
look forward to it!
smart student who asked the question about the y-axis, thank you! I wasn't understanding how that first point was at the origin.
Imma keep it real with you Chief... you the goat
God bless you ...you are God sent .i sat in a calculus class for almost three hours and still did not understand this
Thank you very much!
No need, as far as I'm concerned, for Brian to apologize for putting pi/4 as the central vertical point (with the big tall line thingummy); I am quite certain that the way he did THIS FIRST actually helped my brain to understand and visualize the transformed graph much more clearly than if he had STARTED by putting nought as the central vertical point (with the big tall line thingummy).
Sometimes, for a relative beginner like me, all those sine waves in different places can cause my brain to just collapse.
Having said that, I suppose it did ADD to my understanding when , towards the end, Brian showed us where the nought point would be.
now i can finally do my homework! thank you, sir
No need, as far as I'm concerned, for Brian to apologise.I think it actually really HELPED me , the way that Brian STARTED by putting the big tall line thingummy at pi/4, to indicate where the transformed wave started (rather than putting it at nought). It helped me visualize it all more clearly.
Whereas if he'd put the big tall line at NOUGHT, I probably (as a relative beginnner and not a Maths genius) would have suffered brain collapse (as I sometimes do).
Although having said that, I suppose it did ADD to my still fragile understanding of the whole thing when Brian (at the RIGHT time, for me anyway) explained to us where the NOUGHT point would be placed.
It's much more helpful when you have students with you in the video so any question that a student might have is already answered in the video :) Thankyou
Thanks, it is 5:30am, cramming for a high school functions and trig class, this helps so much. I like how you show the start and end. My trig teacher has this weird 0 greater than or equal to stuff and I just hate having the memorizing it. No equation needed here. :). Great pace, my teacher loves to ramble on about the "5 points". Love your teaching style, been using your videos all night. I have an A in trig, but I hate math, this was not as painful as usual. -yours truly a random Minnesota student who found your class videos.
+Samantha Stoning thank you Samantha for reaching out to me and letting me know my videos have benefited you this year. It touches my heart and motivates me to continue making videos to help other students like you. I am sorry that you have had a bad experience in math but I applaud your efforts in seeking additional help and receiving an A for the year. Your determination and efforts will pay off. Keep up the hard work!
THANK YOU! This video really helped me a bunch!
The last question from the boy is a valid confusion. He asked whether the shifted graph is RELATIVE to the original x-y axis. Now imagine if the graph had a vertical shifts. Are the new coordinates RELATIVE to the original x-y axis or the the NEW middle-line scale? Hope Mr McLogan can make a new video on this. Great videos btw!
Thank you sir.
To find end point is it always setting the equation equal to 2π?
This is a really neat method. Thanks a lot!
you are very welcome!
ur goin straight to heaven for this
You explain this sooo well thank you
you are very welcome! happy to be able to help
I can't even comprehend how my pre-cal professor was trying to teach this after watching this video... He was having us just draw three lines between, for example, 1 and 2 on the x-line to divide into fourths. That may be faster but I really need to understand why I'm doing what I'm doing for it to click and stick. Thank you for this.
thanks this was helpful
Hi, I'm taking PreCal12 and I am having trouble graphing these phase shifts. I understand the video you have explained but for my online class my graph is set up different for sin and cos. I have to draw my base graph first, then apply the transformations and translations. Doing translations in radians is difficult. But identifying the points at the beginning of the video is extremely helpful so thanks.
Thank you very much sir your video was excellent and it helped me understanding this kind of problems very well
Thanks so much this video really helped me out. I wish my trig professor would teach us this method of finding the horizontal shift instead of the long and complicated manner she prefers. I'm basically teaching my myself trig.
well I and my videos are here for you
the best out of other trigs vid
Thank you so much, Sir! I really appreciate your videos, they help me a lot :D
One of the best video i have ever seen...
appreciate it
I don't quite understand if the resulting period of any trigonometric function has to be divided by 4? What rule did you apply in finding the critical points?
Dear Sir!
Can you please tell me where do you teach so I will try like to join your class
Thank you for helping us a lot.
Wow este tema me sirve de mucho gracias Ingeniero.
Yeah, my test tomorrow, will harmer it. Helpful video
happy to help!
Why do you not start with the x value of pie/4 that you solved for under start on the graph?
*I rewatched a few parts of the video and you had the answer all along. I am so used to starting the x-axis at zero but you had the value right above it the entire time. Thank you for the great work!
do you always divide by 4 for the critical points
You are a great teacher ¡ thank you
I appreciate that, and very happy to help you out!
Thanks so much!! :D
you are very welcome!
Really good video. Thanks!!!
thank you
Hello, for the critical point - why divide by 4? What is 4?
Do you have a video where you do this on tan? Or is it the same?
I was getting confused buddy, but you corrected where pi/4 begins. Which is at 45 degrees. Thanks very much
you are very welcome!
For the end point. Do you always equal 2pi? Amazing video! I've been trying to learn it for 2 weeks now.
got a question, when doing the end you take the equation in the brackets and made to equal to 2pi,. is it always 2pi or depends on the period
@undermaker khalid, it depends upon the period. We are using 2π in this case, since the period here is 2π
You are an angel
happy to be able to help Gabrielle!!
Well the explanation was pretty good and It helped me a lot I understood everything. But students may were confused hahaha.
yes it happens, probably had to do a lot of examples
Thank you, going to write my math exam in an hour
i know this is a mathematics channel, but does this principle also apply to drawing graphs of waves in physics?
i'm studying for an upcoming exam, so i really need all the info i can get.
Not surep
Would like to ask where the 9 came from
I have a question if I may:
So I seem to struggle with the starting points still.
There is a formula to follow, no?
For my professor, he mentions that there is a set of inequalities to follow: beginning, 1st part, middle, part 4, then end.
from here, how do we know what a is exactly? is it whatever comes before the sin or cosine? For instance, 3Sin[x + (pi/8)]?
How would I go about setting this up properly?
So just to be clear to find the end point you set the function in the parentheses to what ever the period is, and in this case 2pie, or do you always set it to 2pie not mater what the period is? Let me know.
Thanks
set it to whatever the period is
Sir why the graph ending at 9π/4 instead of 2π
Hello Sir,
I got struggle to calculate f(x)=3sin(pi*x/6)=2
Could you please help. Many thanks before.
you mean graph? try desmos.com I have plenty of videos of similar equations
Sir, where do the maxima and minima occur ?
Thanks.
Is it the same for cosine functions
yep
ur the g
Not sure why , but the other videos about sine graph didn't calculate the end point of critical point/phase shift. Why is this so?
when you got the critical point, why did you divide by 4? do you do that for all problems???
I do that because I want to find the other x-intercepts and max/min. They are all pi/4 away from each other. I only do it for sin, cos, sec, and csc as their period is 2pi and has 4 critical points within the period
thank you so much
2019 folk wya?
help mine says (x-pi/5) how do i find the intervals with that 😖
How do you know how wide your graph it’s supposed to be I don’t understand
Okay but how do we find phase shift when all you have is a graph? and you're supposed to come up with the function?
Compare the intercepts to the parent graph
for the end why did he equal it to 2 pi? and when solving for x for, x minus pi over 4equals to 2pi, how did it equal to 9 pi over 4?
because that is the end of the initial period so it will tell you the end of the new period with the transformations x-pi/4=2pi or x-pi/4=8pi/4 then when I add pi/4 I get 9pi/4
I have a problem in finding out the x scale of tanx
Just to be clear, what are critical points?
Wait thats okay, i kind of figured it out, but why do you divide 2 pie over 4, when ur trying to find the critical points?
Kyra H there are 4 critical points of a unit circle. Pi, pi/2 2pi and 2pi/3
I got so confused half way through until the end I realised lol
ahhh perfect
where do u get 2/4??
Win Paw diving the period by 4 (for every period there are 4 intervals)
@@carmenymigue2010 Thank you... Also wanted to know 😉😉😉
Hi sir where the 9 came from?
Timestamp?
wait I don't get how he got the critical point. I know he said to take the period which is 2pi but I don't get where he gets the 4.
Sir what's should be the distance if question is y=cos(2x-pi/4)
what distance?
Sir distance between two critical points
find the period and divide it by 4, my answer is pi/4
Thanks
Brian McLogan what's the quarter value if y=cos(x-2π/3)
These videos are far more helpful as compared to patrick jmt
happy to hear
could you tell me which book should i use as a reference book for trigonometry
You should use Sullivan Trigonometry 6th Edition.
does this method work for every problem? because I'm working on one right now and this isn't working...is it me?
yes, what problem are you getting wrong?
Does it always move by pi over 2
there are 4 parts in one period of the sine wave, rising and falling on positive side and falling and rising on negative side. thats where the period complets and the wave repeats itself.
to find the distance of each part you do period/4. in his example period was 2pi, so 2pi/4=pi/2.
remember that the period=2*pi/b, in a*sin(bx+c)
@@mkall Thank you!
@@瘋狂是真實的 glad to help man, good luck
Y=sin (×+c)
Does it matter if I find the phase shift to ?
+ron washington no