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Introduction to Transformations of Functions 

Lisa Ruddy
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I have a new and improved Transformations video here:
• Transformations of Fun...
Also, please check out my new channel, MathWithMrsGA, here:
/ @mathwithmrsga
I have lots of new and improved videos!

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29 авг 2016

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Комментарии : 232   
@sophiad8127
@sophiad8127 5 лет назад
transformations start at 7:30 :)
@varunrajput3032
@varunrajput3032 4 года назад
Thanks
@hnesmith56
@hnesmith56 4 года назад
Great!
@user-we6jo7mx3h
@user-we6jo7mx3h 4 года назад
😘😘
@mohanadahmed3117
@mohanadahmed3117 4 года назад
hi i'm also a person ☺
@kareemibrahim8340
@kareemibrahim8340 4 года назад
Thank you
@kathleenmarie6474
@kathleenmarie6474 6 лет назад
Bless you! Thanks so much! I was in tears yesterday over this topic. Now I understand not just this topic, but my brain is exploding beyond this topic. Today, I again believe that math is beautiful and exciting.
@Adrian-uw8gb
@Adrian-uw8gb 4 года назад
Kathleen Marie Amen To that sister
@swizo999
@swizo999 4 года назад
Shut up
@BTDSHI
@BTDSHI 4 года назад
Sensitive
@laoyuk
@laoyuk 4 года назад
@@BTDSHI Stfu
@alannad.c6230
@alannad.c6230 2 года назад
This was so dramatic but cute and inspiring
@KirkSlashEddie
@KirkSlashEddie 5 лет назад
You explained this so much better than my professor! Love the way you broke it down step by step. Thanks!
@pt8077
@pt8077 3 года назад
thank you for making this video. It really helped me understand the basics of graphing as I am having a difficult time getting it to stick!
@LaniLee1
@LaniLee1 4 года назад
You made very good use of the 12 mins. You touched on a little bit of most aspects of functions and kept it short and sweet. Thank you.
@zairawr6518
@zairawr6518 5 лет назад
wow!! i didn’t understand this topic at all today in school and i have a test tomorrow but after watching this video and doing a few practice problems i feel completely knowledgeable about the topic! thank you so much!
@honeyb5217
@honeyb5217 6 лет назад
Thank you, I finally get it. Your explanations were perfect for me. Thanks again!
@proficientprocrastination8511
@proficientprocrastination8511 6 лет назад
Fantastic explanation to those who are new to this subject.
@MathWithMsRuddy
@MathWithMsRuddy 6 лет назад
Thank you so much! I have newer videos on this channel and even newer ones on my new channel here : ru-vid.com/show-UCuQ5RS6WE8xBoRcTAEc9e4A?view_as=subscriber
@carlosdelapenanavarro2571
@carlosdelapenanavarro2571 5 лет назад
Exactly
@aiden4016
@aiden4016 3 года назад
this video is better than the 3 hour lecture my perfessor gave us
@mobroc2795
@mobroc2795 6 лет назад
My teacher uses the word compression. Is it also called a shrink? Thanks!
@ahmednehad8161
@ahmednehad8161 4 года назад
MoBro C me too
@AlexandrBorschchev
@AlexandrBorschchev 3 года назад
yeah and expansion = stretch
@serinacat4781
@serinacat4781 3 года назад
Yes
@ajl4809
@ajl4809 3 года назад
compressions means narrow, so yes its shrink...
@ayushsingh5517
@ayushsingh5517 3 месяца назад
@@ajl4809 you know, i used geogebra, and i invented compression by myself only to find it was already discovered
@kaitlynshehorn1913
@kaitlynshehorn1913 6 лет назад
Wow! Thank you SO much for explaining this topic so detailed! It totally makes sense now! :)
@jessicaguerrero2599
@jessicaguerrero2599 4 года назад
Thank you helped me understand this a little better. I was so lost in class
@jaquelinemunoz6932
@jaquelinemunoz6932 4 года назад
Jessica Guerrero same
@unknownvariable2456
@unknownvariable2456 4 года назад
Math videos on RU-vid are more popular the more useful they are allowing more people to see and understand, this sucks by comparison and I'm surprised you could get much out of it.
@unknownvariable2456
@unknownvariable2456 4 года назад
@Vipul Konnur i know your intentionally ignoring the "by comparison" part of my sentence but just for arguments sake: it's crappy overall because it's harder to understand which is all that matters in a math video. well that is unless you have some fetish for fancy graphics in math videos or something?
@unknownvariable2456
@unknownvariable2456 4 года назад
@Vipul Konnur well different people have different understandings of math even if it all ends the same so it might just be easier for you to learn from here while i can't pick up nothin from it. oh well such is life.
@calebarrington6345
@calebarrington6345 4 года назад
Thank you at my school we had a test on this i got an 100 on the test, at first i didn't know anything about this, the next day i watched this video. This video saved me from getting a 0 on the test. Thank you once again
@eddiefields474
@eddiefields474 6 лет назад
More than the voice quality, these instructions are pretty helpful. You inspire me!
@zitromobile9249
@zitromobile9249 4 года назад
why'd the video cut off tho she was getting to the good part LOL
@mathwithmrsga
@mathwithmrsga 4 года назад
Sorry! I realized I had made a mistake! I have a new and improved Transformations video here! ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-HEFaRqI8TQw.html
@joeygallo-rodriguez2114
@joeygallo-rodriguez2114 6 лет назад
This video helped me get a 100 on my trig test today! Thank you! 💛
@joeygallo-rodriguez2114
@joeygallo-rodriguez2114 6 лет назад
Lisa Ruddy I’m not in pre calc yet, I’m in trig, however I will keep that in mind for next year when I do take pre calc ((:
@joeygallo-rodriguez2114
@joeygallo-rodriguez2114 6 лет назад
James Kosco really? For some reason I learnt it in trig like a month and a half ago.
@MaUG256
@MaUG256 6 лет назад
Damn u just made maths a whole easy for me.... thank u so much...
@tajbibishamim8085
@tajbibishamim8085 4 года назад
Thanks- first time someone made it so clear. Bless you.
@onsempark8113
@onsempark8113 5 лет назад
Super ! Thanks a lot! Nicely explained and quick to watch!
@MookaMG
@MookaMG 5 лет назад
If only I learned this much in class. God bless you!
@kullenbusher3278
@kullenbusher3278 4 года назад
Can you please be my teacher my teacher makes it so complicated 🙄😂
@damon123jones
@damon123jones 2 года назад
Thanks to you say you're such a good teacher I looked it at least 10 videos this one conquers all of them so easy
@ahmednehad8161
@ahmednehad8161 4 года назад
Thank god you are here to save me. I understand every thing now, I was so lost in my class
@Roselichao
@Roselichao 6 лет назад
could not understand this concept until I saw this video, THANKS !!
@BilalKhan-jw9fu
@BilalKhan-jw9fu 3 года назад
You made it so much easier, thank you so much!!!
@danzen4860
@danzen4860 6 лет назад
This shit is confusing. Thanks
@MathWithMsRuddy
@MathWithMsRuddy 6 лет назад
Hope it was helpful! Thanks for watching!
@Nik-xe3tx
@Nik-xe3tx 5 лет назад
😂😂
@MarciaArleneDebra
@MarciaArleneDebra 5 лет назад
It is confusing because you do not realize what is taking place. It is describing the effect of changes that affect the x and y values. The a(ax-h)^2+k is changed by changing any of the variables in that equation. You must know the role of the variables in the shape of the graph in order to understand the transformations.
@wilkincaseres4769
@wilkincaseres4769 5 лет назад
Thanks Lisa really appreciate what ur doing to help other, I denfinitly will check ur other channel, thanks have a blessed week
@Michael-qg2rx
@Michael-qg2rx 3 года назад
What a video, I understood a 2hr+ lecture by watching a few minutes of this video..
@akshitha4643
@akshitha4643 6 лет назад
Thanks so much! This topic is easier now.
@SleekSpacesLiving
@SleekSpacesLiving 5 лет назад
Thank you so much! Going on for my final. 🙏🏽
@ryanstrix9561
@ryanstrix9561 5 лет назад
You are a life saver. Thanks so much
@VictorYakubuVY20020401
@VictorYakubuVY20020401 5 лет назад
Lisa Your teaching make transformations seem so simple thankyou so much
@jannah8230
@jannah8230 6 лет назад
OMG THANK YOU SO MUCH i swear you are an angel that have fallen from the sky
@shazilhamzah8466
@shazilhamzah8466 10 месяцев назад
helped me after 7 years... great job
@kaitlin3102
@kaitlin3102 6 лет назад
Thank you so much! :D
@Neverland1977
@Neverland1977 5 лет назад
Excellent video! Now, I may be off my hinges here, but are you, by chance, the SAME Lisa Ruddy who used to be a prominent cast member on "You Can't Do That on Television"? If so, then I owe you my childhood on top of my academic life, because before watching this video, *I didn't know* a whole lot about these transformations! Thanks for the help!
@iossif1000
@iossif1000 6 лет назад
If you look at 13:15, the phase shift is 1/3 left, not 1 left. The reason for this is because you MUST factor what is in the brackets. So instead of (x) = -(3x+1)^2+5, it will be f(x)-(3(x+1/3))^2+5
@willsonbasyal7883
@willsonbasyal7883 6 лет назад
Amazing work. Thank you so much. and.. Who the fuck would come to a Maths tutorial video and dislike it?
@willowewilson1394
@willowewilson1394 6 лет назад
I did lol, I hate math
@ispeakmythoughts9866
@ispeakmythoughts9866 6 лет назад
austin wilson HAHA
@rjayp5843
@rjayp5843 6 лет назад
people that dont get it I assume. LOL
@kionaleibel6942
@kionaleibel6942 5 лет назад
What about inverse functions and taking square roots of graphs? Good starting point but need more!! :)
@issakeny2772
@issakeny2772 9 месяцев назад
this video was rlly helpful. its a shame it couldnt have been longer
@lolaamusu8011
@lolaamusu8011 6 лет назад
This was wonderful!!
@tidepods713
@tidepods713 5 лет назад
This helps a lot. I hava a chapter test tommorow and know nothing lol.
@brendanlyons5156
@brendanlyons5156 3 года назад
This helped so much, thank you
@abdikadirhassanabdi2143
@abdikadirhassanabdi2143 6 лет назад
Amazing ! Thank you
@viveksingh4891
@viveksingh4891 5 лет назад
Thanks lisa to clear my doubts.
@anxle.1761
@anxle.1761 6 лет назад
Thank you very much!! I cry so much over math BC it's so frustrating. I'm Sick of not understanding
@danielsullivan2584
@danielsullivan2584 4 года назад
You seem like such a sweet teacher I wish I had you
@evaristolilungwe750
@evaristolilungwe750 4 года назад
This was really helpful thank you lotsss!!!!
@JamezBnd007
@JamezBnd007 4 года назад
u deserves 300 million followers!!
@aliakber9093
@aliakber9093 3 года назад
Thanks! If only you could get recognized more
@adamsoliman5303
@adamsoliman5303 5 лет назад
Thankyou so much you explained it alot better than my teacher
@ASH_wonu
@ASH_wonu 2 года назад
Better than my spanish math teacher😫
@penguinlvrpenguin685
@penguinlvrpenguin685 6 лет назад
god bless amen, you have saved me in time for my final :)
@user-im9uw1dd5i
@user-im9uw1dd5i 6 лет назад
excellent explanation!
@akosua935
@akosua935 6 лет назад
Incredibly helpful! Thank you!
@shivamkumar-pt2ym
@shivamkumar-pt2ym 6 лет назад
Thanks for the help ....you were great
@lizzimae12
@lizzimae12 6 лет назад
Hi, I didn't watch the video all the way through, but for ex 2 (the downward facing quadratic), the horizontal shift is actually to the left by 1/3. You must factor out the 3 from 3x+1 first to become 3(x+1/3) before confirming your horizontal shift :) You can confirm by graphing!
@charliewebb7812
@charliewebb7812 Год назад
I will check this
@veronicagonzalez1937
@veronicagonzalez1937 5 лет назад
for the second example of transformations, you would have to do the shift to the left before the horizontal shrink.
@babarasul680
@babarasul680 5 лет назад
You do a better job then my goddamned teacher. Thank you.
@shaikhaalshahi7419
@shaikhaalshahi7419 5 лет назад
Thanks alooot for making math so easy
@koriisvge9970
@koriisvge9970 5 лет назад
Omg I wish you were my teacher 😭😭😭 come teach meee ur really good ❣️
@rohanchung2185
@rohanchung2185 2 года назад
Very explainable tutorial. The only thing is that there should be ad example shown on the graph with the transformation in the last example.
@JamezBnd007
@JamezBnd007 4 года назад
Amazing!!
@mohamedsamael2820
@mohamedsamael2820 4 года назад
Hey Lisa Ruddy, I'd like to follow this series however you don't have a playlist showing which videos we should follow. Could you please let me know how i can follow this series? Would love to learn from your video step by step. Could you possibly make a playlist with an order of videos to follow? thanks!
@hailiekrause9540
@hailiekrause9540 3 года назад
I learned more in 12 minutes here than I have in $12k
@nataliekollmorgen745
@nataliekollmorgen745 3 года назад
this was very helpful
@Createdbyhaven
@Createdbyhaven 4 года назад
Thanks !! so helpful
@John-lf3xf
@John-lf3xf 5 лет назад
Added to PreCalc review list
@deepakchavan7105
@deepakchavan7105 3 года назад
Ty so much.. Your video is so help full for me
@joelquenneville584
@joelquenneville584 6 лет назад
How do you know if it is a stretch vs a shrink
@CaidynC
@CaidynC 3 года назад
What if my first a value is negative? Is that a vertical stretch or compression?
@sraboneakter7469
@sraboneakter7469 6 лет назад
Thank you so much for this video....
@MathWithMsRuddy
@MathWithMsRuddy 6 лет назад
You're very welcome! Thanks for watching!
@diaryofablackgod2399
@diaryofablackgod2399 5 лет назад
nice video
@krishamaecagande5790
@krishamaecagande5790 4 года назад
can a graph be both horizontally compressed and vertically stretched?
@AMan-ct1gu
@AMan-ct1gu 4 года назад
Yeah, think of it as a really really flexible erection
@zainabrasouli7499
@zainabrasouli7499 4 месяца назад
Thank you so much 🙏🙏🙏
@naveensingh5787
@naveensingh5787 4 месяца назад
how to identify from given equation of function ,if it is one one ,many one etc
@Soosss
@Soosss 6 лет назад
Bless you
@i_am_acai
@i_am_acai 5 лет назад
13:00 you need to factor out 3 before you find the shifts. The final shift is 1/3 left
@brooklynrobbo764
@brooklynrobbo764 5 лет назад
Lisa Ruddy video ends abruptly at 12:13 Us it supposed to?
@brooklynrobbo764
@brooklynrobbo764 5 лет назад
Lisa Ruddy okay and thanks
@newworld6871
@newworld6871 5 лет назад
Why did it cut off at the end also thank you a lot this really helped
@koriisvge9970
@koriisvge9970 5 лет назад
Now I understand this way better
@atozz8469
@atozz8469 6 лет назад
COOL
@shawndubler2176
@shawndubler2176 3 года назад
In the linear function, how does the slope=1?
@letrasrojas306
@letrasrojas306 6 лет назад
Your voice y so sweet❤, thanks.
@navigatesnxzx2614
@navigatesnxzx2614 4 года назад
For reflection, multiply by what? Thank you!
@AussieManny
@AussieManny 4 года назад
Thank you!
@alexandroskourtis5268
@alexandroskourtis5268 Год назад
THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU THANK YOU
@nafan2010
@nafan2010 6 лет назад
transformations start at 7:30
@naveensingh5787
@naveensingh5787 4 месяца назад
anyone know y=x^2 and y=-x^2+4, i thought when we reverse the sign of x it reflects in y-axis , but why this graph is reflecting in x-axis?
@henrylorenzo7602
@henrylorenzo7602 6 лет назад
Thank you!!!!
@RedXBruteBS
@RedXBruteBS Год назад
Very helpful video, thank you!
@ethan8036
@ethan8036 4 года назад
God bless u for this vid
@custonkl7575
@custonkl7575 5 лет назад
The version is kinda old but it make sense tho, thanks a lot
@kvng_luis790
@kvng_luis790 Год назад
thank you so much God bless
@CelluloidSelf
@CelluloidSelf 6 лет назад
thank you !!!
@unknownvariable2456
@unknownvariable2456 4 года назад
Alright so I came here with 12 minutes before I needed to know how to solve this, I waited 8 minutes before she explained and she doesn't seem to care if you know the difference between expanding or shrinking so here I'm left probably flipping the equation instead and having no idea how to do the most basics things when somebody with a brain could've taken 4 seconds to be like "put the there negative and boom." Still have no idea how to "compress horizontally"
@unknownvariable2456
@unknownvariable2456 4 года назад
Apparently you use numbers in between 0 and 1 to compress. Or fractions.
@notkenmakozume7216
@notkenmakozume7216 4 года назад
@@unknownvariable2456 to apply a vertical stretch u change the a value outside the bracket. if the value of a is > 1, it is a vertical stretch where the y value is multiplied by the factor of a. if the a value is between 0 and 1, it compresses- i think of it as multiplying the y value by the a, which in this case is a fraction, so the whole graph will be flatter (and so: compression). horizontal stretches are related to the a value inside the bracket- it affects the x value. but the horizontal is very counter intuitive. if that a value (again, all inside the bracket) is a fraction, then it actually stretches along the y axis, so you'd have to multiply the x value by the inverse, so 1/a. if the a value in the equation is > 1, it would actually /compress/ the graph horizontally along the y axis, since again you'd multiply the x by the inverse of a, which in this case would be a as a whole number. does that make sense?
@unknownvariable2456
@unknownvariable2456 4 года назад
edgy t first of all you really on needed to say the value your multiplying it by needs to be less than 1 not ALL THAT, second of all: you're a bit late.
@notkenmakozume7216
@notkenmakozume7216 4 года назад
Unknown Variable you’re welcome
@unknownvariable2456
@unknownvariable2456 4 года назад
you're a bit late.
@sidellesydney2192
@sidellesydney2192 4 года назад
This video is the bomb💣
@John-lf3xf
@John-lf3xf 5 лет назад
For whatever a is just look at the ordered pairs you have and multiply it by the the x values by the reciprocal of a. And that’s how that works.
@John-lf3xf
@John-lf3xf 5 лет назад
Lisa Ruddy Thanks PreCalc Chapter one test next week!
@akulhey10
@akulhey10 11 месяцев назад
nice quality
@WilliMel
@WilliMel 4 года назад
what happens if the number before the parenthesis is negative?
@tantffg9119
@tantffg9119 10 месяцев назад
I don't understand how is the slope is equal to 1 for linear function... Can someone explain this to me please
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