Introduction to Transformations of Functions

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  • เผยแพร่เมื่อ 9 พ.ย. 2024

ความคิดเห็น • 234

  • @sophiad8127
    @sophiad8127 6 ปีที่แล้ว +808

    transformations start at 7:30 :)

  • @kathleenmarie6474
    @kathleenmarie6474 7 ปีที่แล้ว +345

    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 5 ปีที่แล้ว +4

      Kathleen Marie Amen To that sister

    • @swizo999
      @swizo999 5 ปีที่แล้ว +2

      Shut up

    • @BTDSHI
      @BTDSHI 5 ปีที่แล้ว +2

      Sensitive

    • @laoyuk
      @laoyuk 4 ปีที่แล้ว +24

      @@BTDSHI Stfu

    • @LunaCipher-u2b
      @LunaCipher-u2b 2 ปีที่แล้ว +13

      This was so dramatic but cute and inspiring

  • @KirkSlashEddie
    @KirkSlashEddie 5 ปีที่แล้ว +35

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

  • @zairawr6518
    @zairawr6518 6 ปีที่แล้ว +30

    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 5 ปีที่แล้ว +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.

  • @calebarrington6345
    @calebarrington6345 4 ปีที่แล้ว +4

    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

  • @zitromobile9249
    @zitromobile9249 5 ปีที่แล้ว +218

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

    • @mathwithmrsga
      @mathwithmrsga 4 ปีที่แล้ว +26

      Sorry! I realized I had made a mistake! I have a new and improved Transformations video here!
      th-cam.com/video/HEFaRqI8TQw/w-d-xo.html

  • @proficientprocrastination8511
    @proficientprocrastination8511 6 ปีที่แล้ว +32

    Fantastic explanation to those who are new to this subject.

    • @MathWithMsRuddy
      @MathWithMsRuddy 6 ปีที่แล้ว +1

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

    • @carlosdelapenanavarro2571
      @carlosdelapenanavarro2571 5 ปีที่แล้ว

      Exactly

  • @mobroc2795
    @mobroc2795 6 ปีที่แล้ว +198

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

    • @ahmednehad8161
      @ahmednehad8161 4 ปีที่แล้ว +2

      MoBro C me too

    • @AlexandrBorschchev
      @AlexandrBorschchev 4 ปีที่แล้ว

      yeah and expansion = stretch

    • @serinacat4781
      @serinacat4781 4 ปีที่แล้ว

      Yes

    • @ajl4809
      @ajl4809 3 ปีที่แล้ว +1

      compressions means narrow, so yes its shrink...

    • @ayushsingh5517
      @ayushsingh5517 7 หลายเดือนก่อน

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

  • @joeygallo-rodriguez2114
    @joeygallo-rodriguez2114 6 ปีที่แล้ว +11

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

    • @joeygallo-rodriguez2114
      @joeygallo-rodriguez2114 6 ปีที่แล้ว

      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 ปีที่แล้ว

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

  • @jessicaguerrero2599
    @jessicaguerrero2599 5 ปีที่แล้ว +46

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

    • @jaquelinemunoz6932
      @jaquelinemunoz6932 5 ปีที่แล้ว +1

      Jessica Guerrero same

    • @unknownvariable2456
      @unknownvariable2456 5 ปีที่แล้ว

      Math videos on TH-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 ปีที่แล้ว

      @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 ปีที่แล้ว

      @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.

  • @pt8077
    @pt8077 3 ปีที่แล้ว +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!

  • @MookaMG
    @MookaMG 6 ปีที่แล้ว +3

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

  • @danzen4860
    @danzen4860 6 ปีที่แล้ว +186

    This shit is confusing. Thanks

    • @MathWithMsRuddy
      @MathWithMsRuddy 6 ปีที่แล้ว +7

      Hope it was helpful! Thanks for watching!

    • @Nik-xe3tx
      @Nik-xe3tx 6 ปีที่แล้ว +10

      😂😂

    • @MarciaArleneDebra
      @MarciaArleneDebra 5 ปีที่แล้ว +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 ปีที่แล้ว +12

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

  • @kullenbusher3278
    @kullenbusher3278 5 ปีที่แล้ว +62

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

  • @honeyb5217
    @honeyb5217 7 ปีที่แล้ว +9

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

  • @eddiefields474
    @eddiefields474 6 ปีที่แล้ว +1

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

  • @damon123jones
    @damon123jones 2 ปีที่แล้ว

    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

  • @iossif1000
    @iossif1000 6 ปีที่แล้ว +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

  • @ahmednehad8161
    @ahmednehad8161 4 ปีที่แล้ว +1

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

  • @jannah8230
    @jannah8230 6 ปีที่แล้ว +2

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

  • @kaitlynshehorn1913
    @kaitlynshehorn1913 6 ปีที่แล้ว +5

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

  • @Michael-qg2rx
    @Michael-qg2rx 4 ปีที่แล้ว

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

  • @VictorYakubuVY20020401
    @VictorYakubuVY20020401 6 ปีที่แล้ว

    Lisa Your teaching make transformations seem so simple thankyou so much

  • @Roselichao
    @Roselichao 6 ปีที่แล้ว +1

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

  • @lizzimae12
    @lizzimae12 6 ปีที่แล้ว +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!

  • @shazilhamzah1
    @shazilhamzah1 ปีที่แล้ว

    helped me after 7 years... great job

  • @Neverland1977
    @Neverland1977 6 ปีที่แล้ว +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!

  • @mohamedsamael2820
    @mohamedsamael2820 4 ปีที่แล้ว +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!

  • @rohanchung2185
    @rohanchung2185 3 ปีที่แล้ว +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.

  • @MaUG256
    @MaUG256 7 ปีที่แล้ว +8

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

  • @kionaleibel6942
    @kionaleibel6942 5 ปีที่แล้ว +12

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

  • @MinnieLitty-b7x
    @MinnieLitty-b7x 5 ปีที่แล้ว +5

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

  • @akshitha4643
    @akshitha4643 6 ปีที่แล้ว +24

    Thanks so much! This topic is easier now.

  • @JamezBnd007
    @JamezBnd007 4 ปีที่แล้ว

    u deserves 300 million followers!!

  • @tidepods713
    @tidepods713 6 ปีที่แล้ว +1

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

  • @pandaonsteroids5154
    @pandaonsteroids5154 5 ปีที่แล้ว +1

    You talk to us like we're in middle school (not a bad thing -- it's clear), but I know this ain't for no middle school class. I learned this in High school, but I'm taking this in college. College seems dumb in many ways. They re-teach you stuff you learned in Highschool, but to be fair I half-way forgot most stuff anyways.

    • @pastries8393
      @pastries8393 5 ปีที่แล้ว +1

      That doesn't sound dumb to me...

  • @danielsullivan2584
    @danielsullivan2584 4 ปีที่แล้ว

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

  • @tajbibishamim8085
    @tajbibishamim8085 4 ปีที่แล้ว

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

  • @issakeny2772
    @issakeny2772 ปีที่แล้ว

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

  • @willsonbasyal7883
    @willsonbasyal7883 7 ปีที่แล้ว +20

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

  • @wilkincaseres4769
    @wilkincaseres4769 6 ปีที่แล้ว

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

  • @anxle.1761
    @anxle.1761 6 ปีที่แล้ว +1

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

  • @nafan2010
    @nafan2010 6 ปีที่แล้ว +2

    transformations start at 7:30

  • @kvng_luis790
    @kvng_luis790 2 ปีที่แล้ว +1

    thank you so much God bless

  • @babarasul680
    @babarasul680 6 ปีที่แล้ว +1

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

  • @viveksingh4891
    @viveksingh4891 5 ปีที่แล้ว +2

    Thanks lisa to clear my doubts.

  • @aliakber9093
    @aliakber9093 3 ปีที่แล้ว +1

    Thanks! If only you could get recognized more

  • @i_am_acai
    @i_am_acai 6 ปีที่แล้ว +6

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

    • @brooklynrobbo764
      @brooklynrobbo764 6 ปีที่แล้ว +1

      Lisa Ruddy video ends abruptly at 12:13 Us it supposed to?

    • @brooklynrobbo764
      @brooklynrobbo764 6 ปีที่แล้ว +1

      Lisa Ruddy okay and thanks

  • @John-lf3xf
    @John-lf3xf 6 ปีที่แล้ว +1

    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 6 ปีที่แล้ว +1

      Lisa Ruddy Thanks PreCalc Chapter one test next week!

  • @yamiletgalindo2202
    @yamiletgalindo2202 4 ปีที่แล้ว +1

    If only you were my teacher

  • @ryanstrix9561
    @ryanstrix9561 6 ปีที่แล้ว +1

    You are a life saver. Thanks so much

  • @zainabrasouli7499
    @zainabrasouli7499 8 หลายเดือนก่อน +1

    Thank you so much 🙏🙏🙏

  • @krishamaecagande5790
    @krishamaecagande5790 5 ปีที่แล้ว +3

    can a graph be both horizontally compressed and vertically stretched?

    • @AMan-ct1gu
      @AMan-ct1gu 5 ปีที่แล้ว +1

      Yeah, think of it as a really really flexible erection

  • @shaikhaalshahi7419
    @shaikhaalshahi7419 6 ปีที่แล้ว +1

    Thanks alooot for making math so easy

  • @alexandroskourtis5268
    @alexandroskourtis5268 ปีที่แล้ว +2

    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

  • @veronicagonzalez1937
    @veronicagonzalez1937 6 ปีที่แล้ว

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

  • @BilalKhan-jw9fu
    @BilalKhan-jw9fu 3 ปีที่แล้ว

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

  • @adamsoliman5303
    @adamsoliman5303 6 ปีที่แล้ว

    Thankyou so much you explained it alot better than my teacher

  • @ASH_wonu
    @ASH_wonu 3 ปีที่แล้ว +1

    Better than my spanish math teacher😫

  • @John-lf3xf
    @John-lf3xf 6 ปีที่แล้ว +2

    Added to PreCalc review list

  • @penguinlvrpenguin685
    @penguinlvrpenguin685 6 ปีที่แล้ว +1

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

  • @deepakchavan7105
    @deepakchavan7105 4 ปีที่แล้ว +1

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

  • @koriisvge9970
    @koriisvge9970 6 ปีที่แล้ว +1

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

  • @glennhumerickhouse5365
    @glennhumerickhouse5365 4 ปีที่แล้ว +1

    Shouldn't use "a" to represent both vertical and horizontal stretch/compression. That would be like using h to represent both types of shifts. They are independent of each other. But the rest of it is good.

  • @brendanlyons5156
    @brendanlyons5156 4 ปีที่แล้ว +1

    This helped so much, thank you

  • @onsempark8113
    @onsempark8113 6 ปีที่แล้ว

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

  • @hailiekrause9540
    @hailiekrause9540 4 ปีที่แล้ว +1

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

  • @nataliekollmorgen745
    @nataliekollmorgen745 4 ปีที่แล้ว +1

    this was very helpful

  • @koriisvge9970
    @koriisvge9970 6 ปีที่แล้ว +1

    Now I understand this way better

  • @shivamkumar-pt2ym
    @shivamkumar-pt2ym 6 ปีที่แล้ว +1

    Thanks for the help ....you were great

  • @WilliMel
    @WilliMel 5 ปีที่แล้ว +1

    what happens if the number before the parenthesis is negative?

  • @AussieManny
    @AussieManny 4 ปีที่แล้ว +1

    Thank you!

  • @Yuki-jv3jp
    @Yuki-jv3jp 6 ปีที่แล้ว +1

    Cant believe I just found this channel. Omggg where were you? 😂

    • @Yuki-jv3jp
      @Yuki-jv3jp 6 ปีที่แล้ว +1

      @@lisaruddy8493 Ok. Thank you so much. I'll be sure to check it out.

  • @unknownvariable2456
    @unknownvariable2456 5 ปีที่แล้ว +6

    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 5 ปีที่แล้ว +1

      Apparently you use numbers in between 0 and 1 to compress. Or fractions.

    • @notkenmakozume7216
      @notkenmakozume7216 5 ปีที่แล้ว +1

      @@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 5 ปีที่แล้ว

      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 5 ปีที่แล้ว

      Unknown Variable you’re welcome

    • @unknownvariable2456
      @unknownvariable2456 5 ปีที่แล้ว +1

      you're a bit late.

  • @navigatesnxzx2614
    @navigatesnxzx2614 5 ปีที่แล้ว

    For reflection, multiply by what? Thank you!

  • @custonkl7575
    @custonkl7575 6 ปีที่แล้ว +1

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

  • @newworld6871
    @newworld6871 5 ปีที่แล้ว +2

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

  • @itsishraq3303
    @itsishraq3303 2 ปีที่แล้ว +1

    why am i in love with you.

  • @joelquenneville584
    @joelquenneville584 7 ปีที่แล้ว +1

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

  • @Createdbyhaven
    @Createdbyhaven 4 ปีที่แล้ว +1

    Thanks !! so helpful

  • @CaidynC
    @CaidynC 4 ปีที่แล้ว

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

  • @4piecechickenmcnuggets
    @4piecechickenmcnuggets ปีที่แล้ว +1

    lifesaver

  • @cholkymilkmirage4984
    @cholkymilkmirage4984 5 ปีที่แล้ว +2

    put speed on 1.75 helps alot

  • @evaristolilungwe750
    @evaristolilungwe750 4 ปีที่แล้ว +1

    This was really helpful thank you lotsss!!!!

  • @Soosss
    @Soosss 6 ปีที่แล้ว +1

    Bless you

  • @naveensingh5787
    @naveensingh5787 8 หลายเดือนก่อน

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

  • @akulhey10
    @akulhey10 ปีที่แล้ว +1

    nice quality

  • @ethan8036
    @ethan8036 5 ปีที่แล้ว +2

    God bless u for this vid

  • @sraboneakter7469
    @sraboneakter7469 6 ปีที่แล้ว +1

    Thank you so much for this video....

    • @MathWithMsRuddy
      @MathWithMsRuddy 6 ปีที่แล้ว +1

      You're very welcome! Thanks for watching!

  • @akosua935
    @akosua935 6 ปีที่แล้ว +1

    Incredibly helpful! Thank you!

  • @gunnerharpole5513
    @gunnerharpole5513 3 ปีที่แล้ว +1

    Isn't there also rotations? I think you forgot those.

  • @AP_CHEM_SCHOLAR
    @AP_CHEM_SCHOLAR 2 ปีที่แล้ว +2

    totally wild

  • @kaitlin3102
    @kaitlin3102 6 ปีที่แล้ว +5

    Thank you so much! :D

  • @shawndubler2176
    @shawndubler2176 3 ปีที่แล้ว

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

  • @stunnafan8905
    @stunnafan8905 ปีที่แล้ว +1

  • @naveensingh5787
    @naveensingh5787 7 หลายเดือนก่อน

    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?

  • @kishaC-n6g
    @kishaC-n6g ปีที่แล้ว +1

    THANK YOU SO SO MUCH GOD BLESS AND pleasee repent and be BAPTISED for the Kingdom of Heaven is at hand in LORD JESUS NAME AMEN!!!

  • @letrasrojas306
    @letrasrojas306 6 ปีที่แล้ว +5

    Your voice y so sweet❤, thanks.