Introduction to Transformations of Functions

Поділитися
Вставка
  • Опубліковано 29 сер 2016
  • 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!

КОМЕНТАРІ • 232

  • @sophiad8127
    @sophiad8127 5 років тому +786

    transformations start at 7:30 :)

  • @kathleenmarie6474
    @kathleenmarie6474 6 років тому +327

    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 роки тому +4

      Kathleen Marie Amen To that sister

    • @swizo999
      @swizo999 4 роки тому +2

      Shut up

    • @BTDSHI
      @BTDSHI 4 роки тому +2

      Sensitive

    • @laoyuk
      @laoyuk 4 роки тому +22

      @@BTDSHI Stfu

    • @alannad.c6230
      @alannad.c6230 2 роки тому +13

      This was so dramatic but cute and inspiring

  • @KirkSlashEddie
    @KirkSlashEddie 5 років тому +29

    You explained this so much better than my professor! Love the way you broke it down step by step. Thanks!

  • @zitromobile9249
    @zitromobile9249 4 роки тому +213

    why'd the video cut off tho she was getting to the good part LOL

    • @mathwithmrsga
      @mathwithmrsga 4 роки тому +25

      Sorry! I realized I had made a mistake! I have a new and improved Transformations video here!
      ua-cam.com/video/HEFaRqI8TQw/v-deo.html

  • @danzen4860
    @danzen4860 6 років тому +184

    This shit is confusing. Thanks

    • @MathWithMsRuddy
      @MathWithMsRuddy 6 років тому +7

      Hope it was helpful! Thanks for watching!

    • @Nik-xe3tx
      @Nik-xe3tx 5 років тому +10

      😂😂

    • @MarciaArleneDebra
      @MarciaArleneDebra 5 років тому +6

      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.

  • @aiden4016
    @aiden4016 3 роки тому +12

    this video is better than the 3 hour lecture my perfessor gave us

  • @proficientprocrastination8511
    @proficientprocrastination8511 6 років тому +31

    Fantastic explanation to those who are new to this subject.

    • @MathWithMsRuddy
      @MathWithMsRuddy 6 років тому +1

      Thank you so much! I have newer videos on this channel and even newer ones on my new channel here : ua-cam.com/channels/uQ5RS6WE8xBoRcTAEc9e4A.html?view_as=subscriber

    • @carlosdelapenanavarro2571
      @carlosdelapenanavarro2571 5 років тому

      Exactly

  • @zairawr6518
    @zairawr6518 5 років тому +26

    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!

  • @LaniLee1
    @LaniLee1 4 роки тому +10

    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.

  • @pt8077
    @pt8077 3 роки тому +13

    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!

  • @jessicaguerrero2599
    @jessicaguerrero2599 4 роки тому +43

    Thank you helped me understand this a little better. I was so lost in class

    • @jaquelinemunoz6932
      @jaquelinemunoz6932 4 роки тому +1

      Jessica Guerrero same

    • @unknownvariable2456
      @unknownvariable2456 4 роки тому

      Math videos on UA-cam 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 роки тому

      @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 роки тому

      @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.

  • @mobroc2795
    @mobroc2795 6 років тому +195

    My teacher uses the word compression. Is it also called a shrink? Thanks!

    • @ahmednehad8161
      @ahmednehad8161 4 роки тому +2

      MoBro C me too

    • @AlexandrBorschchev
      @AlexandrBorschchev 3 роки тому

      yeah and expansion = stretch

    • @serinacat4781
      @serinacat4781 3 роки тому

      Yes

    • @ajl4809
      @ajl4809 3 роки тому +1

      compressions means narrow, so yes its shrink...

    • @ayushsingh5517
      @ayushsingh5517 3 місяці тому

      @@ajl4809 you know, i used geogebra, and i invented compression by myself only to find it was already discovered

  • @kullenbusher3278
    @kullenbusher3278 4 роки тому +61

    Can you please be my teacher my teacher makes it so complicated 🙄😂

  • @honeyb5217
    @honeyb5217 6 років тому +9

    Thank you, I finally get it. Your explanations were perfect for me. Thanks again!

  • @joeygallo-rodriguez2114
    @joeygallo-rodriguez2114 6 років тому +11

    This video helped me get a 100 on my trig test today! Thank you! 💛

    • @joeygallo-rodriguez2114
      @joeygallo-rodriguez2114 6 років тому

      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 років тому

      James Kosco really? For some reason I learnt it in trig like a month and a half ago.

  • @MookaMG
    @MookaMG 5 років тому +3

    If only I learned this much in class. God bless you!

  • @kaitlynshehorn1913
    @kaitlynshehorn1913 6 років тому +5

    Wow! Thank you SO much for explaining this topic so detailed! It totally makes sense now! :)

  • @eddiefields474
    @eddiefields474 6 років тому +1

    More than the voice quality, these instructions are pretty helpful. You inspire me!

  • @calebarrington6345
    @calebarrington6345 4 роки тому +2

    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

  • @tajbibishamim8085
    @tajbibishamim8085 4 роки тому

    Thanks- first time someone made it so clear. Bless you.

  • @MaUG256
    @MaUG256 6 років тому +8

    Damn u just made maths a whole easy for me.... thank u so much...

  • @akshitha4643
    @akshitha4643 6 років тому +24

    Thanks so much! This topic is easier now.

  • @damon123jones
    @damon123jones 2 роки тому

    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

  • @onsempark8113
    @onsempark8113 5 років тому

    Super ! Thanks a lot! Nicely explained and quick to watch!

  • @VictorYakubuVY20020401
    @VictorYakubuVY20020401 5 років тому

    Lisa Your teaching make transformations seem so simple thankyou so much

  • @SleekSpacesLiving
    @SleekSpacesLiving 5 років тому +5

    Thank you so much! Going on for my final. 🙏🏽

  • @BilalKhan-jw9fu
    @BilalKhan-jw9fu 3 роки тому

    You made it so much easier, thank you so much!!!

  • @wilkincaseres4769
    @wilkincaseres4769 5 років тому

    Thanks Lisa really appreciate what ur doing to help other, I denfinitly will check ur other channel, thanks have a blessed week

  • @ryanstrix9561
    @ryanstrix9561 5 років тому +1

    You are a life saver. Thanks so much

  • @ahmednehad8161
    @ahmednehad8161 4 роки тому +1

    Thank god you are here to save me. I understand every thing now, I was so lost in my class

  • @kionaleibel6942
    @kionaleibel6942 5 років тому +12

    What about inverse functions and taking square roots of graphs? Good starting point but need more!! :)

  • @Roselichao
    @Roselichao 6 років тому +1

    could not understand this concept until I saw this video, THANKS !!

  • @jannah8230
    @jannah8230 6 років тому +2

    OMG THANK YOU SO MUCH
    i swear you are an angel that have fallen from the sky

  • @Michael-qg2rx
    @Michael-qg2rx 3 роки тому

    What a video, I understood a 2hr+ lecture by watching a few minutes of this video..

  • @Neverland1977
    @Neverland1977 5 років тому +1

    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!

  • @willsonbasyal7883
    @willsonbasyal7883 6 років тому +20

    Amazing work. Thank you so much.
    and..
    Who the fuck would come to a Maths tutorial video and dislike it?

  • @viveksingh4891
    @viveksingh4891 5 років тому +2

    Thanks lisa to clear my doubts.

  • @kaitlin3102
    @kaitlin3102 6 років тому +4

    Thank you so much! :D

  • @iossif1000
    @iossif1000 6 років тому +1

    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

  • @shazilhamzah8466
    @shazilhamzah8466 10 місяців тому

    helped me after 7 years... great job

  • @mohamedsamael2820
    @mohamedsamael2820 4 роки тому +1

    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!

  • @CaidynC
    @CaidynC 3 роки тому

    What if my first a value is negative? Is that a vertical stretch or compression?

  • @joelquenneville584
    @joelquenneville584 6 років тому

    How do you know if it is a stretch vs a shrink

  • @brendanlyons5156
    @brendanlyons5156 3 роки тому

    This helped so much, thank you

  • @abdikadirhassanabdi2143
    @abdikadirhassanabdi2143 6 років тому

    Amazing ! Thank you

  • @penguinlvrpenguin685
    @penguinlvrpenguin685 6 років тому

    god bless amen, you have saved me in time for my final :)

  • @anxle.1761
    @anxle.1761 6 років тому +1

    Thank you very much!! I cry so much over math BC it's so frustrating. I'm Sick of not understanding

  • @tidepods713
    @tidepods713 5 років тому

    This helps a lot. I hava a chapter test tommorow and know nothing lol.

  • @adamsoliman5303
    @adamsoliman5303 5 років тому

    Thankyou so much you explained it alot better than my teacher

  • @lizzimae12
    @lizzimae12 6 років тому +2

    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!

  • @naveensingh5787
    @naveensingh5787 4 місяці тому

    how to identify from given equation of function ,if it is one one ,many one etc

  • @danielsullivan2584
    @danielsullivan2584 4 роки тому

    You seem like such a sweet teacher I wish I had you

  • @navigatesnxzx2614
    @navigatesnxzx2614 4 роки тому

    For reflection, multiply by what? Thank you!

  • @naveensingh5787
    @naveensingh5787 4 місяці тому

    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?

  • @shawndubler2176
    @shawndubler2176 3 роки тому

    In the linear function, how does the slope=1?

  • @shivamkumar-pt2ym
    @shivamkumar-pt2ym 6 років тому

    Thanks for the help ....you were great

  • @evaristolilungwe750
    @evaristolilungwe750 4 роки тому

    This was really helpful thank you lotsss!!!!

  • @lolaamusu8011
    @lolaamusu8011 6 років тому

    This was wonderful!!

  • @veronicagonzalez1937
    @veronicagonzalez1937 5 років тому

    for the second example of transformations, you would have to do the shift to the left before the horizontal shrink.

  • @aliakber9093
    @aliakber9093 3 роки тому +1

    Thanks! If only you could get recognized more

  • @rohanchung2185
    @rohanchung2185 2 роки тому +1

    Very explainable tutorial. The only thing is that there should be ad example shown on the graph with the transformation in the last example.

  • @shaikhaalshahi7419
    @shaikhaalshahi7419 5 років тому

    Thanks alooot for making math so easy

  • @user-im9uw1dd5i
    @user-im9uw1dd5i 6 років тому +3

    excellent explanation!

  • @ASH_wonu
    @ASH_wonu 2 роки тому +1

    Better than my spanish math teacher😫

  • @krishamaecagande5790
    @krishamaecagande5790 4 роки тому +3

    can a graph be both horizontally compressed and vertically stretched?

    • @AMan-ct1gu
      @AMan-ct1gu 4 роки тому +1

      Yeah, think of it as a really really flexible erection

  • @babarasul680
    @babarasul680 5 років тому

    You do a better job then my goddamned teacher. Thank you.

  • @JamezBnd007
    @JamezBnd007 4 роки тому

    u deserves 300 million followers!!

  • @akosua935
    @akosua935 6 років тому

    Incredibly helpful! Thank you!

  • @WilliMel
    @WilliMel 4 роки тому

    what happens if the number before the parenthesis is negative?

  • @tantffg9119
    @tantffg9119 10 місяців тому

    I don't understand how is the slope is equal to 1 for linear function... Can someone explain this to me please

  • @i_am_acai
    @i_am_acai 5 років тому +5

    13:00 you need to factor out 3 before you find the shifts. The final shift is 1/3 left

  • @koriisvge9970
    @koriisvge9970 5 років тому +1

    Omg I wish you were my teacher 😭😭😭 come teach meee ur really good ❣️

  • @deepakchavan7105
    @deepakchavan7105 3 роки тому

    Ty so much.. Your video is so help full for me

  • @issakeny2772
    @issakeny2772 9 місяців тому

    this video was rlly helpful. its a shame it couldnt have been longer

  • @John-lf3xf
    @John-lf3xf 5 років тому +1

    Added to PreCalc review list

  • @zainabrasouli7499
    @zainabrasouli7499 5 місяців тому

    Thank you so much 🙏🙏🙏

  • @Createdbyhaven
    @Createdbyhaven 4 роки тому

    Thanks !! so helpful

  • @nataliekollmorgen745
    @nataliekollmorgen745 3 роки тому

    this was very helpful

  • @hala-qf6jm
    @hala-qf6jm 3 роки тому

    I am confused about what I start with like the order some people are telling me I start from the right to the left and others tell me I start with whatever the x is with so if someone could let me know

  • @sraboneakter7469
    @sraboneakter7469 6 років тому

    Thank you so much for this video....

    • @MathWithMsRuddy
      @MathWithMsRuddy 6 років тому

      You're very welcome! Thanks for watching!

  • @Soosss
    @Soosss 6 років тому

    Bless you

  • @AussieManny
    @AussieManny 4 роки тому

    Thank you!

  • @letrasrojas306
    @letrasrojas306 6 років тому +5

    Your voice y so sweet❤, thanks.

  • @kvng_luis790
    @kvng_luis790 Рік тому

    thank you so much God bless

  • @hailiekrause9540
    @hailiekrause9540 3 роки тому

    I learned more in 12 minutes here than I have in $12k

  • @ethan8036
    @ethan8036 4 роки тому +1

    God bless u for this vid

  • @henrylorenzo7602
    @henrylorenzo7602 6 років тому

    Thank you!!!!

  • @CelluloidSelf
    @CelluloidSelf 6 років тому

    thank you !!!

  • @JamezBnd007
    @JamezBnd007 4 роки тому

    Amazing!!

  • @newworld6871
    @newworld6871 5 років тому +1

    Why did it cut off at the end also thank you a lot this really helped

  • @sidellesydney2192
    @sidellesydney2192 4 роки тому

    This video is the bomb💣

  • @tarunbaskaran558
    @tarunbaskaran558 3 роки тому

    Anyone know Lisa cuddy from "House M.D?"
    Lisa cuddy / lisa ruddy???

  • @nafan2010
    @nafan2010 6 років тому +1

    transformations start at 7:30

  • @custonkl7575
    @custonkl7575 5 років тому

    The version is kinda old but it make sense tho, thanks a lot

  • @RedXBruteBS
    @RedXBruteBS Рік тому

    Very helpful video, thank you!

  • @John-lf3xf
    @John-lf3xf 5 років тому

    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 років тому

      Lisa Ruddy Thanks PreCalc Chapter one test next week!

  • @koriisvge9970
    @koriisvge9970 5 років тому

    Now I understand this way better

  • @akulhey10
    @akulhey10 11 місяців тому

    nice quality

  • @anwaraljnabi2143
    @anwaraljnabi2143 5 років тому

    Thanks a lot

  • @diaryofablackgod2399
    @diaryofablackgod2399 5 років тому

    nice video