Ur a beast...much better at explaining this concept than my teacher.

@lastpot261

4 жыл бұрын

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

@lawrenceliang6670

3 жыл бұрын

@@lastpot261 reason for that probably stems from public school teacher's confidence in their job security, but KZreadrs have to lecture well to attract more popularity? But in either way this KZreadr is really well at lecturing so I'd rather to spend time with him even though he charges in the future.

@basketguitar9768

3 ай бұрын

​@@lawrenceliang6670hi

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!

@pikleman5880

2 жыл бұрын

Same.

@Stoirelius

Жыл бұрын

I watch 10 per day.

@ChefSporty

9 ай бұрын

@@Stoirelius you are not him

@djpriest123

3 ай бұрын

bro does not have the apple emojis@@ChefSporty

@ChefSporty

3 ай бұрын

@@djpriest123 i have the iphone 42

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

Very simple and to the point. Thank you very much!

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!

@basketguitar9768

3 ай бұрын

Did u graduate yet

This is getting overwhelming right now Can't remember this much of concepts.

I've been struggling to understand graphs all semester and you just explained it in 7 minutes, I actually love you

@owenegona2632

Ай бұрын

fr bruh

An absolute genius! He deserves an AWARD!

I can’t thank you enough for simple methods

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

@rysterstech

Жыл бұрын

So sad yet so true..................................

Very clearly explained! A big thanks to you.

I can say that you and brian are really good at teaching, straight forward, you guys are the best

This was mighty helpful, thank you so much!

I have seen many videos about this subject. Your explanation is the best ever. Thanks

Another super great video!!! Thank you so much for creating these educational videos. They truly help. Thanks !!

Okay, can someone please explain the difference between the horizontal and vertical thingy for Dilation.

I so love this! On my way to understanding things! Thank you!! 🤗

Thanks Professor Dave

Awesome job professor Dave! Thanks

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!

your videos are awesome, keep the good work bro

Ur a great man love ur videos keep uploading

In the table, for horizontal shift-- positive h = shift to the lift instead of the right. Am I right?

He is so much better than my Algebra teacher! Thanks for this lesson 🙂

@anganileamon7813

2 жыл бұрын

Prof Dave , you are talented

Not only super helpful but also has a kickass intro song. Wish I could give a super thumbs up

Thank you for this Just one doubt What is the difference between vertical and horizontal stretch?

@vaishanthjv2519

Жыл бұрын

Same doubt

Wow this was awesome!! All day I was struggling to understand and this was so simple and informative. Thank you’

VERY useful and clear!! many thanks;

what would the transformation be for square roots such as 3square root x

Bro you're here every time i need help bro... thank you so much

This video was really informative...thank you!

i've never had problems with this concept but the way my teacher wants us to do it is so unreasonably complicated.

great video ! i have a question, if i have this function f(x) = 2^x + 3 and shifted left 8 units, stretched vertically, by a factor of 6, reflected about the x-axis , and then shifted downward 9 units , what would be the final function ? please help

thanks a ton your vids help alot especially since ive been doing online school

thank you so much for this, such a wholesome video to learn! God Bless!

Nice video. It helped!

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.

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❤

@ProfessorDaveExplains

6 ай бұрын

The table is correct.

@geniusvadim7858

4 ай бұрын

@@ProfessorDaveExplains Isn't it supposed to be opposite, where -h = shift right = positive?

The whole video is summed up at 6:32

@pppp_627_u

5 ай бұрын

thanks

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

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!

Thank you Professor

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.

thank you

the best teacher ever

SO GOOD!

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?

@llrree778899

3 ай бұрын

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).

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.

Thank you.

Thanks it helped a lot

Great work u man

even after all this time this is video is very good

Wow I'm speechless. 👏

Is it "horizontal compress" at 3:37 instead of "horizontal stretch" as you say? Please check it up.

@ProfessorDaveExplains

4 жыл бұрын

a stretch can be applied in the positive or negative direction, either way we refer to it as stretch.

@mathacademyforall4161

4 ай бұрын

@@ProfessorDaveExplains it either compressed or stretched ?????

You make it sound so easy as rare in a math teacher

Link to the "other strategies later in the series"?

I love it here.

Thank you

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!

@mathconcepts101

3 ай бұрын

saw that too, i had to watch the video again

I only watch so that I hear the 'check comprehension' music.

@user-yr3uj6go8i

5 жыл бұрын

It sounds better when it's sped up by 1.5.

Beauty of math.....😍😍😍

Keep it up 🙂

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!

@doctorcommon6195

Жыл бұрын

This is what I though too

@ArthasFB

Жыл бұрын

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.

@elhadjitalla3054

Жыл бұрын

@@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!

@ArthasFB

Жыл бұрын

@@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.

@elhadjitalla3054

Жыл бұрын

@@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!

🥇

is it inappropriate to call it 'horizontal compression', instead of stretch? or, is it requisite?

@thubbard722

3 жыл бұрын

did you find out?

@mercilessanimations161

3 жыл бұрын

@@thubbard722 are you thomAs

@thubbard722

3 жыл бұрын

@@mercilessanimations161 no haha

you are the best

thanks

Shouldn't it střech horizontally too in the bottom example? It doesn't make sense to me :D 3:49

3:45 it's not a horizontal stretch but it's a horizontal shrink !!

Great video

@TheFacial83

4 жыл бұрын

👍👍 Which program did u use? Thanks

do you have a link to ths powerpoint that I can print out. Your are so helpFUL thanks a bunch.

@ProfessorDaveExplains

4 жыл бұрын

it's not powerpoint it's a video

@kausarkhan2302

4 жыл бұрын

Oh so not printable. This was very useful thanks.

so positive and negative are opposites and shrink means to get wider and stretch means to get more narrow

Yes

nice video

Is "f(x)=sqroot(x)" a valid fuction?. for every natural positive numbers besides 0 we will have two positive and negative outputs wich does not meet the "one output requierement". Also it would output imaginary numbers on the negative input side but i guess that wouldnt be a problem. Tahnk you Dave and thank you all the comunity!

When h positive doesn't the function shift left? and when negative to the right? isn't opposite what's on the table in the end?

@ProfessorDaveExplains

4 жыл бұрын

note that subtracting a negative number gives you a positive number and vice versa

@jaypoizhan

4 жыл бұрын

@@ProfessorDaveExplains Oh I see, thank you very much for quick response and awesome content!

How is it (-2)^3=8

honestly, I had no better explanation then this, if anyone is taking function or calculus, can we connect to help each other please, and thank you?

actually the conditions for streches are not expressed correctly. for example in 6:30 : a>1 is fine but a

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.

@ProfessorDaveExplains

11 ай бұрын

but don't forget that minus a negative h is positive

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"?

@ArthasFB

Жыл бұрын

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.

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 :>

@coolgamingepicawesome

22 күн бұрын

are you try to input a value for x as (x+2)? writing it like that would mean the resulting function is (x+2)^2 , which expanded would be x^2 + 4x + 4 would have to convert to vertex form

Dheivame 🙇

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?

Ur super sir... Love from Pakistan ❤❤❤

@ahmedjahenzaib148

3 жыл бұрын

pakistan zindabad

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!

@ProfessorDaveExplains

4 жыл бұрын

You’re confusing the sign on the term with the sign already present in the binomial. The video is correct.

@Osiris2134

Жыл бұрын

@@ProfessorDaveExplains YEAH YOU TELL EM DAVE. SPANK HIM LIKE THE NAUGHTY BOY HE IS AND PUT HIS ASS TO BED 😡 😩

okk this is a good video very helpful for my exams the thing is at around 2:14 you said horizontal shit HHAHAHAHAH

DAVE!!!!!!! I LOVE YOU SO MUCH DADDY!!! YOURE SHIFTING MY FUNCTION UP RIGHT NOW 😏😏

Wish i could found your channel more earlier 😊.

best intro

The page at 6:33 shouldn’t positive h= shift left not shift right same with nagative h should be shift right

@ProfessorDaveExplains

3 жыл бұрын

Don't forget that the h term is subtracted.

I have a test on this tomorrow and if I pass it’s not going to be thanks to my teacher, updating when I get my results

@ambulantgaming8483

3 жыл бұрын

did you pass lol, its been over a year.

@carmenbofill9815

3 жыл бұрын

@@ambulantgaming8483 LMFAO yeah i think i did but i forgot to update 🧖🏻‍♀️

My only criticizm about this one: I think you should've used more functions as an example, not just parabola. Perhaps, the sqrt(x) and maybe something else throughout all the transformations. Firstly, it would've demostrated the consistency of the methods as opposed to just ways to manipulate quadratic function graph specifically. Secondly, some of the transformations are confusing when applied to x^2 specifically because they render the same result or results with unobvious difference. For example, I was extremely confused with the stretch example: like, what's the difference between 4x^2 and (2x)^2, for example? Or the example of -x^3 and (-x)^3 was confusing, because you are, like, looking at it and wondering: ain't it the same thing (another example function where the distinction between the transformations would actually render the same result would've been great). Also, from your explanation of shifting along the x-axis, it wasn't clear at all how that would work with other functions (that's where the sqrt(x) example would be perfect). Also in my opinion, sin(x) is one of the best functions to show transformations on: I know that trigonometry hasn't been covered yet, but still, just saying.

@shikazeevods

Жыл бұрын

Check his trig classes for trig, the way he laid out his lesson is in order of standardized teaching in the U.S., so he covers algebra 1, geometry, alg 2 etc in that order. As for your question regarding the difference for 4x^2 and(2x)^2, there is no difference, they'd be the same line.

wouldn't positve h shift left and the other vise versa 6:25

@ProfessorDaveExplains

3 жыл бұрын

make sure to note that the term is subtracted

Best Explanation of this ugly concept!

im getting carried by prof dave in all my subjects

How -2 square = 4 can you explain

@ProfessorDaveExplains

4 жыл бұрын

negative signs cancel when you multiply

@gloriasarkar3776

4 жыл бұрын

But why it doesn’t show on calculator

@ProfessorDaveExplains

4 жыл бұрын

it should. make sure you use parentheses.

@gloriasarkar3776

4 жыл бұрын

Yeah now it shows Thanks 🙏

Here because of legend Sir lodhi

@abdulhadikhan7582

4 жыл бұрын

Yup I'm here tooo

For summary slide at 6:28 horizontal shift(h) shifts are opposite way round +ve is shift left -ve is shift right !! he said this in video but didn't correct it on this slide

@ProfessorDaveExplains

4 жыл бұрын

the graphic is correct, don't forget to take into account the negative sign before the h term.

@tomscott9771

4 жыл бұрын

@@ProfessorDaveExplains sorry to be annoying but I think I am still confused, at 2:31 you said f(x)=(x+2) causes a shift left? but at 6:28 it says this causes a shift right ? thanks for your reply

@ProfessorDaveExplains

4 жыл бұрын

So it's just that you're not considering the subtraction, if h is positive, then you subtract positive h and you get minus h. If h is negative, you subtract negative h and you get plus h. When I'm listing the sign of h, I'm not considering the subtraction sign.

@tomscott9771

4 жыл бұрын

@@ProfessorDaveExplains okay I understand now thanks for the help !

@rhanson1124

Жыл бұрын

@@ProfessorDaveExplains Oh I get it, that is why you specifically noted (x-h), that is the positive h shifting right compared to (x-(-h)) being the negative h which would shift left. Correct?

Fucking god sent