I just finished my first night class for Pre-Calc30 and this video made everything we covered last night make a lot more sense. I really appreciate your efforts. I will watch more of your content as I am also upgrading my CHEM 30
Eric Moore any1 is better than my teacher, he doesn’t even try to teach he just hands us the notes and is like alright here is your homework and then does nothing for the rest of class
@@lastpot261 reason for that probably stems from public school teacher's confidence in their job security, but UA-camrs have to lecture well to attract more popularity? But in either way this UA-camr is really well at lecturing so I'd rather to spend time with him even though he charges in the future.
I'm in college algebra and I was seriously struggling with this. I did not get a good grasp from my professor. I watched videos from my online textbook, khan academy, and multiple random vids on youtube before I found yours. Thanks so much for the concise explanation!
Thank you very much, professor dave. I’m watching a bunch of these videos to help me with my Algebra 1 class, as my teacher (and most US schools tbh) just teach “this is the formula, solve now” and not the actual concept in a way that’s easy to understand. Your videos make it a whole lot easier to grasp the concept of what all the x^2 stuff actually is doing to the function, and even made clearer what a function *is* . Thanks
Brain.exe crashed, watched 4 vids today of your mathematics series. The highest i watched in one day. I have watched 65 vids so far. You are the one to be called a teacher. You have earned my respect sir. May Allah bless you!
Thank you mr dave, my teacher takes the teach out of teacher. They make me want my trial of life to expire. All they do is read off the textbook but add their own grammatical mistakes into the mix, give us an unreasonable amount of homework that doesn’t relate to what we covered, and be annoying. My mental sanity goes down several notches every second i am in that prison cell. Thank you for teaching me in the way my “teacher” could not even dream of.
Thank you so much but you made a mistake in the summary of transformation for the h variable. Positive h= shift left, negative h= shift right . You’re the best❤
@@denzelzuofa3066 (x - h) here h is unknown so if we put any negative no. it will be ( x - (-h) ) making h positive so it'll shift left. :) hope i helped.
In the final transformations table the horizontal shift is the other way around as stated during the video and the final comprehension exercises. A positive h means a shift to the left and a negative h a shift to the right!
You saved my day, sir! I was struggling to understand this concept for my SAT prep, and search lot of YT tutorial but noc explain it like you. Take love, I am from Bangladesh!
Thanks! I made a special ‘cheat’ card from 6:28 to help me on transformations with my pre-calculus homework. I figured it didn’t have to be as complicated as many have been making it.
please keep making videos this is the only one I truly understood and I watched at least ten, in the future please add more examples just for reference
I think you should always mention the order of transformations the same way you would do order of operations or the transformation could become messed up if you were to manually calculate it.
Good video. I've read the order of operations matter when transforming functions. First we do the innermost parenthesis (horizontal shift) , then the horizontal/vertical stretches, and then the vertical shift. f(x) = -2(x - 3) ^2 +4 worked the way you did it, but there are cases where it won't.
It seems like the summary has some unintended mistake. You said that if h is negative, it should be shifted to right. But on the summary, it says that if h is negative, it should also shift to left. I'm confused, professor.
im confused about the horizontal shift transformation on 6:28. I understood that (x+h) shifts left while (x-h) shifts right on the graph, or something I missed?
That's correct. Think of the minus sign in (x-h) being part of the original form (like a formula). If h is positive, you have (x-h). If h is negative, you have (x-(-h)), which becomes (x+h).
Hello Professor Dave! Thank you so much for these valuable lessons! I have a question about the table @6:34. Isn't it supposed to read "positive h=shift left, negative h= shift right? Is there a typo or did I misunderstand something? Thanks again!
It's not a typo. It's because it says x - h. The sign is not included (if it was, it would say x + h). That means that a positive h, which is then inverted, produces a shift to the right. Hopefully that was clear.
@@ArthasFB Thank you for your explanation. However, I'm afraid I still don't understand because the formula on the table doesn't match the explanation Prof. Dave gives @2:27. I'd appreciate any further clarification. Thanks again!
@@elhadjitalla3054 The video says x + 2 generates a shift to the left. That is, x plus a positive number. The same way, x - 2 generates a shift to the right. That is, x plus a negative number (or minus a positive number). You can express that as x + h where if h is positive, it shifts to the left and if h is negative, it shifts to the right. In the example, h is 2. But it is easier to remember if h being positive generates a shift to the right. For that, we can flip the sign of h (x - h). This means if we plug a positive number in h, let's say 3, it gives x - 3 and so the shift is to the right. Notice that the sign is not part of h. For a negative value, - 3, it gives x - (-3) = x + 3 and so it is a shift to the left.
@@ArthasFB Wow! Thank you so much for your patience and kindness. I think I got it now! So it's all about the sign of the number you plug in for h. Thank you again so much!
@@kausarkhan2302 this is 4 years late, but you could take a screenshot even on a computer and then print it out! I don’t know if you would need this now though :’D
At 4:13 , I'm confused as to why we square before flipping the sign. When I see -x^2 intuition tells me to plug in the x value then square that negative number. It seems like only -(x^2) should do that. Someone please explain this. I know it's right but I can't wrap my head around why.
@@ProfessorDaveExplainsnewb here. Out of high school for 14 years and starting my first college courses next fall on a physics path. I have a long way to go. Thanks for that clarification. Just something I'll have to memorize since intuition is failing me on that particular notion.
@@ProfessorDaveExplainsi feel pretty confident it's because -x is -1x and ord of op will do exponents before multiplying. Thanks for all your content. It's been immeasurably helpful!
sir, I'm lost at 4:42, if it's x cubed, then it means 2 x 2 x 2, right? can you sir tell me how did you get the 4, i'm really confused sir. Thank you in advance! :D
Professor Dave, the summary page at the ending of the video is incorrect for the horizontal shift. When it's a positive h, you shift left, not right. And when it's a negative h, you shift right; not left. Please read this guys!
![Lp. Сердце Вселенной #60 РОЖДЕНИЕ ЛОЛОЛОШКИ [Финал] • Майнкрафт](http://i.ytimg.com/vi/YoR0pAV9FVQ/mqdefault.jpg)
7~ minutes of free learning on youtube compared to an hour of confusion in class💀ur a lifesaver
I've been struggling to understand graphs all semester and you just explained it in 7 minutes, I actually love you
fr bruh
Seeing this in the start of my semester 😅
Hopefully I do well.
@@harry3004 good luck lol
I just finished my first night class for Pre-Calc30 and this video made everything we covered last night make a lot more sense. I really appreciate your efforts. I will watch more of your content as I am also upgrading my CHEM 30
Ur a beast...much better at explaining this concept than my teacher.
Eric Moore any1 is better than my teacher, he doesn’t even try to teach he just hands us the notes and is like alright here is your homework and then does nothing for the rest of class
@@lastpot261 reason for that probably stems from public school teacher's confidence in their job security, but UA-camrs have to lecture well to attract more popularity? But in either way this UA-camr is really well at lecturing so I'd rather to spend time with him even though he charges in the future.
@@lawrenceliang6670hi
I'm in college algebra and I was seriously struggling with this. I did not get a good grasp from my professor. I watched videos from my online textbook, khan academy, and multiple random vids on youtube before I found yours. Thanks so much for the concise explanation!
Did u graduate yet
4 years later and this was my exact situation 😂
Thank you very much, professor dave. I’m watching a bunch of these videos to help me with my Algebra 1 class, as my teacher (and most US schools tbh) just teach “this is the formula, solve now” and not the actual concept in a way that’s easy to understand. Your videos make it a whole lot easier to grasp the concept of what all the x^2 stuff actually is doing to the function, and even made clearer what a function *is* .
Thanks
So sad yet so true..................................
An absolute genius! He deserves an AWARD!
Brain.exe crashed, watched 4 vids today of your mathematics series. The highest i watched in one day. I have watched 65 vids so far. You are the one to be called a teacher. You have earned my respect sir. May Allah bless you!
Same.
I watch 10 per day.
@@Stoirelius you are not him
bro does not have the apple emojis@@ChefSporty
@@djpriest123 i have the iphone 42
Very simple and to the point. Thank you very much!
Thank you mr dave, my teacher takes the teach out of teacher. They make me want my trial of life to expire. All they do is read off the textbook but add their own grammatical mistakes into the mix, give us an unreasonable amount of homework that doesn’t relate to what we covered, and be annoying. My mental sanity goes down several notches every second i am in that prison cell. Thank you for teaching me in the way my “teacher” could not even dream of.
Thank you so much but you made a mistake in the summary of transformation for the h variable. Positive h= shift left, negative h= shift right .
You’re the best❤
The table is correct.
@@ProfessorDaveExplains Isn't it supposed to be opposite, where -h = shift right = positive?
@@ProfessorDaveExplains You are wrong, but it doesn't really matter.
@@denzelzuofa3066 (x - h) here h is unknown so if we put any negative no. it will be ( x - (-h) ) making h positive so it'll shift left. :)
hope i helped.
@@poopyhead7586you’re so nice. That makes so much more sense, thanks!
I have seen many videos about this subject. Your explanation is the best ever. Thanks
I can’t thank you enough for simple methods
I can say that you and brian are really good at teaching, straight forward, you guys are the best
In the final transformations table the horizontal shift is the other way around as stated during the video and the final comprehension exercises. A positive h means a shift to the left and a negative h a shift to the right!
saw that too, i had to watch the video again
He is so much better than my Algebra teacher! Thanks for this lesson 🙂
Prof Dave , you are talented
Very clearly explained! A big thanks to you.
Thanks Professor Dave
Keep it sir
This is getting overwhelming right now
Can't remember this much of concepts.
More practice will make it better. I also struggled, until I started taking notes and solving more questions.
I so love this! On my way to understanding things! Thank you!! 🤗
i've never had problems with this concept but the way my teacher wants us to do it is so unreasonably complicated.
You saved my day, sir! I was struggling to understand this concept for my SAT prep, and search lot of YT tutorial but noc explain it like you. Take love, I am from Bangladesh!
Thank you for this
Just one doubt
What is the difference between vertical and horizontal stretch?
Same doubt
If you vertically compress it would look like a bowl, and if you horizontally stretch it would look like a huge U
Thanks! I made a special ‘cheat’ card from 6:28 to help me on transformations with my pre-calculus homework. I figured it didn’t have to be as complicated as many have been making it.
Not only super helpful but also has a kickass intro song. Wish I could give a super thumbs up
please keep making videos this is the only one I truly understood and I watched at least ten, in the future please add more examples just for reference
The whole video is summed up at 6:32
thanks
I love you
your videos are awesome, keep the good work bro
This was mighty helpful, thank you so much!
Thank You Mr. Dave!
You are explaining very well 👍🏻👍🏻
Another super great video!!! Thank you so much for creating these educational videos. They truly help. Thanks !!
I think you should always mention the order of transformations the same way you would do order of operations or the transformation could become messed up if you were to manually calculate it.
Wow this was awesome!! All day I was struggling to understand and this was so simple and informative. Thank you’
Ur a great man love ur videos keep uploading
Good video. I've read the order of operations matter when transforming functions. First we do the innermost parenthesis (horizontal shift) , then the horizontal/vertical stretches, and then the vertical shift. f(x) = -2(x - 3) ^2 +4 worked the way you did it, but there are cases where it won't.
It seems like the summary has some unintended mistake. You said that if h is negative, it should be shifted to right. But on the summary, it says that if h is negative, it should also shift to left. I'm confused, professor.
but don't forget that minus a negative h is positive
Wow I'm speechless. 👏
I saw 127 video in one day
Completed playlist in 3 days
Bro you're here every time i need help bro... thank you so much
Is it "horizontal compress" at 3:37 instead of "horizontal stretch" as you say? Please check it up.
a stretch can be applied in the positive or negative direction, either way we refer to it as stretch.
@@ProfessorDaveExplains it either compressed or stretched ?????
Okay, can someone please explain the difference between the horizontal and vertical thingy for Dilation.
THANK YOU THANK YOU THANK YOU U R A LIFE SAVERRRR I HOPE YOU HAVE AN AMAZING LIFE
Very helpful video but on 3:39 you said horizontal stretch but you also said if it's better than 1 it's horizontal compress. Just check that keep up.
I only watch so that I hear the 'check comprehension' music.
It sounds better when it's sped up by 1.5.
im confused about the horizontal shift transformation on 6:28. I understood that (x+h) shifts left while (x-h) shifts right on the graph, or something I missed?
That's correct. Think of the minus sign in (x-h) being part of the original form (like a formula). If h is positive, you have (x-h). If h is negative, you have (x-(-h)), which becomes (x+h).
the best teacher ever
ugh thank u for this!! i need to take a quiz & even with notes the whole concept was still confusing u cleared a lot of it up!
In the table, for horizontal shift-- positive h = shift to the lift instead of the right. Am I right?
Hello Professor Dave! Thank you so much for these valuable lessons! I have a question about the table @6:34. Isn't it supposed to read "positive h=shift left, negative h= shift right? Is there a typo or did I misunderstand something? Thanks again!
This is what I though too
It's not a typo. It's because it says x - h. The sign is not included (if it was, it would say x + h). That means that a positive h, which is then inverted, produces a shift to the right. Hopefully that was clear.
@@ArthasFB Thank you for your explanation. However, I'm afraid I still don't understand because the formula on the table doesn't match the explanation Prof. Dave gives @2:27. I'd appreciate any further clarification. Thanks again!
@@elhadjitalla3054 The video says x + 2 generates a shift to the left. That is, x plus a positive number. The same way, x - 2 generates a shift to the right. That is, x plus a negative number (or minus a positive number).
You can express that as x + h where if h is positive, it shifts to the left and if h is negative, it shifts to the right. In the example, h is 2.
But it is easier to remember if h being positive generates a shift to the right. For that, we can flip the sign of h (x - h). This means if we plug a positive number in h, let's say 3, it gives x - 3 and so the shift is to the right. Notice that the sign is not part of h. For a negative value, - 3, it gives x - (-3) = x + 3 and so it is a shift to the left.
@@ArthasFB Wow! Thank you so much for your patience and kindness. I think I got it now! So it's all about the sign of the number you plug in for h. Thank you again so much!
thanks a ton your vids help alot especially since ive been doing online school
This video was really informative...thank you!
VERY useful and clear!! many thanks;
3:45 it's not a horizontal stretch but it's a horizontal shrink !!
You make it sound so easy as rare in a math teacher
Awesome job professor Dave! Thanks
thank you
oh, professor thanks. Actually I also really liked your videos in Astronomy.
Keep it up 🙂
Thank you Professor
Thanks man, it was life saving!
At 6:30, you told, "+h = shift right, -h = shift left". Shouldn't it be "+h = shift left, -h = shift right"?
No, because the negative sign is not part of h, so a positive value for h is negated and produces a shift to the right.
thank you so much for this, such a wholesome video to learn! God Bless!
Beauty of math.....😍😍😍
Hi, please correct the summary table: Horizontal shift part where negative h= is supposed to be to the right and positive h= shift left
is it inappropriate to call it 'horizontal compression', instead of stretch? or, is it requisite?
did you find out?
@@thubbard722 are you thomAs
@@mercilessanimations161 no haha
even after all this time this is video is very good
Great work u man
Sheft it down by 5
Sheft it up by 1 and stretch it by 2
Move it to the right by 1 and stretch it by 3
thanks sir
Thank you.
The page at 6:33 shouldn’t positive h= shift left not shift right same with nagative h should be shift right
Don't forget that the h term is subtracted.
SO GOOD!
what would the transformation be for square roots such as 3square root x
Ur super sir... Love from Pakistan ❤❤❤
pakistan zindabad
actually the conditions for streches are not expressed correctly.
for example in 6:30 :
a>1 is fine but a
Nice video. It helped!
Great video
👍👍 Which program did u use? Thanks
Shouldn't it střech horizontally too in the bottom example? It doesn't make sense to me :D 3:49
I never took and I understand your good I'm able to help my son I college
how do u pick which numbers go under the x in the right column
do you have a link to ths powerpoint that I can print out. Your are so helpFUL thanks a bunch.
it's not powerpoint it's a video
Oh so not printable. This was very useful thanks.
@@kausarkhan2302 this is 4 years late, but you could take a screenshot even on a computer and then print it out! I don’t know if you would need this now though :’D
Link to the "other strategies later in the series"?
I love it here.
Tnx mr dave
6:30 - the positive h = shift right, negative h = shift left. I'm sure I'm missing something but isn't this the other way around?
🥇
thanks
My math teacher seduced me to watch this video
At 4:13 , I'm confused as to why we square before flipping the sign. When I see -x^2 intuition tells me to plug in the x value then square that negative number. It seems like only -(x^2) should do that. Someone please explain this. I know it's right but I can't wrap my head around why.
-x^2 is not (-x)^2, it's -(x^2)
@@ProfessorDaveExplainsnewb here. Out of high school for 14 years and starting my first college courses next fall on a physics path. I have a long way to go. Thanks for that clarification. Just something I'll have to memorize since intuition is failing me on that particular notion.
@@ProfessorDaveExplainsi feel pretty confident it's because -x is -1x and ord of op will do exponents before multiplying. Thanks for all your content. It's been immeasurably helpful!
so positive and negative are opposites and shrink means to get wider and stretch means to get more narrow
you are the best
thank you, math jesus
Would it be the same if you changed the f(x) part? Like if I have f(x+2)=x^2, would it be moved up?
Also I love the outro music :>
okk this is a good video very helpful for my exams the thing is at around 2:14 you said horizontal shit HHAHAHAHAH
Thank you
sir, I'm lost at 4:42, if it's x cubed, then it means 2 x 2 x 2, right? can you sir tell me how did you get the 4, i'm really confused sir. Thank you in advance! :D
Professor Dave, the summary page at the ending of the video is incorrect for the horizontal shift. When it's a positive h, you shift left, not right. And when it's a negative h, you shift right; not left.
Please read this guys!
You’re confusing the sign on the term with the sign already present in the binomial. The video is correct.
@@ProfessorDaveExplains YEAH YOU TELL EM DAVE. SPANK HIM LIKE THE NAUGHTY BOY HE IS AND PUT HIS ASS TO BED 😡 😩
@@Osiris2134LMAO WHAT
DAVE!!!!!!! I LOVE YOU SO MUCH DADDY!!! YOURE SHIFTING MY FUNCTION UP RIGHT NOW 😏😏
nice video
Yes