Function Transformations: Horizontal and Vertical Stretches and Compressions

This video explains to graph graph horizontal and vertical stretches and compressions in the form a*f(b(x-c))+d. This video looks at how a and b affect the graph of f(x).
mathispower4u.wordpress.com/

Пікірлер: 173

  • @countzero2712
    @countzero27129 ай бұрын

    13 years later and it's still helping people. Thanks alot sir.

  • @Mathispower4u

    @Mathispower4u

    9 ай бұрын

    You are very welcome. I appreciate your comment!

  • @NoorMarwahGK

    @NoorMarwahGK

    7 ай бұрын

    Wow, no way he still commented.@@Mathispower4u

  • @pribbin

    @pribbin

    4 ай бұрын

    WW

  • @-3lnmv7.99
    @-3lnmv7.998 ай бұрын

    Really helpful, I searched for this point for a quadratic and cubic function but never found one, until this poped up. What a legend

  • @gabooshi
    @gabooshi3 жыл бұрын

    11 years later and this video still saving us ...

  • @88kickingcat
    @88kickingcat12 жыл бұрын

    Thank you so much. I was learning vertical stretches and compressions from a book, and they were not clicking at all. Now I realize how simple they are!

  • @ivanherrera3285
    @ivanherrera328510 жыл бұрын

    Really appreciate. This is by far, the most helpful math tutor I've find in all youtube. Saved my gpa, saved my marriage, saved my life....thanks so much!

  • @Mathispower4u

    @Mathispower4u

    10 жыл бұрын

    Thank you for such a nice comment. I'm glad I could help.

  • @MrSeagull16

    @MrSeagull16

    9 жыл бұрын

    saved your marriage?

  • @121212narutoful

    @121212narutoful

    8 жыл бұрын

    +MrSeagull16 lool

  • @alissa2222

    @alissa2222

    4 жыл бұрын

    @@MrSeagull16 LMAOOO his wife said "if you dont know how to graph a parabola, im leaving you"

  • @MrSeagull16

    @MrSeagull16

    4 жыл бұрын

    @@alissa2222 it's still funny now 😂

  • @TelepathShield
    @TelepathShield Жыл бұрын

    So basically vertical stretch and compression is changing the y values by a number. 3f(x) is multiplying (or stretching) the y values by 3, whereas 1/3f(x) is dividing by 3 (aka compressing by a factor of 1/3). Horizontal stretch and compression is the same thing but inside the function. Also for horizontal stretch and compression, the values are reciprocal-ed, so f(1/3x) is horz. stretch not conpression. F(1/3x) is tripling the x values, and f(3x) is dividing the x values by 3. I hope this makes sense because it took me a while to try and figure this out.

  • @TelepathShield

    @TelepathShield

    Жыл бұрын

    Also for horz. stretch and compression, it is inside the function so for example in f(x)=sqrt(x), horizontal stretch and compression respectively would be: f(x)=sqrt(1/2x) and f(x)=sqrt(2x). Vertical stretch and compression is on the outside and respectively they would be: f(x)=2sqrt(x) and f(x)=1/2sqrt(x)

  • @thekinghawk1895

    @thekinghawk1895

    Жыл бұрын

    thanks this helped

  • @NoorMarwahGK
    @NoorMarwahGK7 ай бұрын

    This video came out when i was born Lol. Thanks anyways It helped a lot.

  • @lilsmarty818
    @lilsmarty8183 жыл бұрын

    ok guys so if you still dont get it... for vertical stretches and compressions a>1 means that a is not a fraction or decimal and 0

  • @AshveerGrewal

    @AshveerGrewal

    4 ай бұрын

    if a>1 it can be a fraction or decimal it just has to be greater than 1 for example 5/2 or 7.3

  • @motivatedmind11
    @motivatedmind117 жыл бұрын

    Sooooo helpful!! I am reviewing precalc this summer on my own b/c I have to take Calc 1 this fall. I just read the transformation section today and for some reason it wasn't clicking with the horizontal and vertical stretching part, but your video made it click for me! lol thanks!

  • @Mathispower4u

    @Mathispower4u

    7 жыл бұрын

    If you are interested in a free self-study Precalc course, you may want to check out phoenixcollege.edu/mooc. Thank you for the comment.

  • @lexinaut
    @lexinaut10 жыл бұрын

    Very nice! You have compressed the information nicely without stretching the truth within it!

  • @reefym2627
    @reefym26275 жыл бұрын

    Still don’t get it . My test is gonna be less than 12% for a fact

  • @elizabethgarcia3106

    @elizabethgarcia3106

    5 жыл бұрын

    Same

  • @atikshsingh1598

    @atikshsingh1598

    4 жыл бұрын

    how was it

  • @mihirshaik1203

    @mihirshaik1203

    4 жыл бұрын

    @@atikshsingh1598 lol

  • @ohmelowpine1647

    @ohmelowpine1647

    3 жыл бұрын

    How’d your test go

  • @reefym2627

    @reefym2627

    3 жыл бұрын

    Oh Melowpine I failed that class and then got a 90 and a 98 on redo classes the following semester.

  • @lizardking1552
    @lizardking15527 жыл бұрын

    Thanks for the help! I was stumped over my hw for the past hour and this really helped clear things up!

  • @akijohn1973
    @akijohn19732 жыл бұрын

    Sooooo for 'a' and 'k', they are meant to stretch and compress the graph in the same direction; furthermore, the terms stretch and compressed are connected to the relationships the function has with each axis. Thanks for clearing up things!

  • @vydera2
    @vydera28 жыл бұрын

    Thank you very much, this was a great lesson, that helped me a lot, you are a very good teacher.

  • @winminthan3455
    @winminthan345511 жыл бұрын

    thank you so much..i have been searching for the explanation about the horizontal stretch..now i finally found it..thanks a lot

  • @severed_toast
    @severed_toast4 жыл бұрын

    how do I know when to stretch a function vertically and when to compress horizontally?

  • @Snow-eq4pr

    @Snow-eq4pr

    4 жыл бұрын

    when b more than 1 the function stretch vertically and in the same time it compress horizontally

  • @MrZak-rf3vq
    @MrZak-rf3vq4 жыл бұрын

    What program do you use to show the example in real-time?

  • @davecolombia
    @davecolombia11 жыл бұрын

    where does logic behind the rule: 'multiply each x-coordinate by 1/b' derive from?

  • @AlexandrBorschchev

    @AlexandrBorschchev

    3 жыл бұрын

    bruhh ikr

  • @rickperez8975

    @rickperez8975

    3 жыл бұрын

    Think about what x-value do I put in to get the original y-value back out? If I have (y = x) and I change it to (y = 5x) then in order for me to have the same y-value output I need to input and x value that is 5 times less, or (x/5). I know this comment is old, but hopefully it helps someone in the future because this is a great question.

  • @krypticcryptic5752

    @krypticcryptic5752

    3 жыл бұрын

    @@rickperez8975 lol the comment was 7 years ago, your right tho you helped me understand righ before my test. Thanks 🙏

  • @krypticcryptic5752

    @krypticcryptic5752

    3 жыл бұрын

    Just finished my test, got a 97. You helped me, thank you very much

  • @lawrenceliang6670

    @lawrenceliang6670

    3 жыл бұрын

    @@rickperez8975 Thank you it's really helpful!!!!

  • @diegoalonsoesp
    @diegoalonsoesp6 жыл бұрын

    Thanks! I have a test in 1 hour that includes this and I didn't understand it well until I saw your video! thanks a lot :3

  • @fargo4857

    @fargo4857

    Жыл бұрын

    how did the test go?

  • @IndesirableShadow
    @IndesirableShadow2 жыл бұрын

    In a nutshell, a(b(x+c)^2)+d a is for vertical compression or stretch if 0 a> 1 vertical stretch. while horizontal is opposite. b is for horizontal comp or stretch c is horizontal translation if pos goes left if neg goes right aka flipping + or - for direction d is vertical translation based on symbol

  • @gladysguachun5203
    @gladysguachun52033 жыл бұрын

    so if the problem says stretch horizontally by a factor of 2 I multiply by (1/2) or 2?

  • @aranzaaranda
    @aranzaaranda5 жыл бұрын

    I have never understood this until now, thank you!

  • @zedzedzed
    @zedzedzed9 жыл бұрын

    Thanks a lot for such an amazing, clear, and concise lesson! The quote at the end is also something to think about!

  • @Mathispower4u

    @Mathispower4u

    9 жыл бұрын

    Thank you for the comment.

  • @Relax-ov2dh
    @Relax-ov2dh6 ай бұрын

    Please say me which software you use for representing the a imitated grahp?

  • @greenfox8418
    @greenfox84183 жыл бұрын

    Hi this vid was a long time ago but I wanna ask ya a really quick question: I recently saw in my class that my teacher, whose example is y = -2f[4(x-3)]+7, says that the horizontal compression by a factor of 4 while the textbook calls it a stretch by ¼ and she says that what's written in the textbook doesn’t make sense. May I ask your professional opinion on which one makes more sense? Thank you for both your vid and explanations. Helps me a lot with these kinds of math problems :)))

  • @cbatchmath7772
    @cbatchmath77723 жыл бұрын

    Thats a really nice video. I was not understanding this for a long time. With just this video, I understood this. Thanks a lot!!!!!!!!! :):)

  • @stefan-tg6ec
    @stefan-tg6ec3 жыл бұрын

    How did he take the numbers for x for the function g(x)=x/2 and h(x)=2x

  • @darkaznpro
    @darkaznpro12 жыл бұрын

    This video was really good!. Thank you so much!

  • @ian-lu6tr
    @ian-lu6tr11 ай бұрын

    3:19 what is the horizontal stretch/compression factor when between 0 and 1?

  • @lcvender7127
    @lcvender71274 жыл бұрын

    oh my gosh thank you so much! I have a test today on this and now I finally understand this lmao

  • @yousefelhadadjoseph7920

    @yousefelhadadjoseph7920

    3 жыл бұрын

    Can i have ur insta snap??

  • @Bri-mn9hi

    @Bri-mn9hi

    3 жыл бұрын

    LMFAOA

  • @user-db6qz3jd2w
    @user-db6qz3jd2w4 жыл бұрын

    Sorry what is the name of this educational software?

  • @KitsuneHimeR
    @KitsuneHimeR11 жыл бұрын

    this did help explain it a little better i think thanks

  • @ronburgundy9732
    @ronburgundy97325 жыл бұрын

    This helped me a lot thank you

  • @iArmadillox3
    @iArmadillox311 жыл бұрын

    Thank you! You saved me!

  • @MrZak-rf3vq
    @MrZak-rf3vq4 жыл бұрын

    Thank you. This was fantastic

  • @minsoxy
    @minsoxy13 жыл бұрын

    Thank you for the video really explained a lot.

  • @grapeleiva2266
    @grapeleiva22663 жыл бұрын

    whats the difference between the horizantal stretch and the vertical one? in the animation it looks the same. if its less than one its goes farther and and if its greater than one it gets skinnier

  • @eamonrichards1246

    @eamonrichards1246

    3 жыл бұрын

    No

  • @saniatassadaq2063
    @saniatassadaq20637 жыл бұрын

    is there any function where horizontal compression are same as vertical strech and what would be the name of that function

  • @Ivanbadenh

    @Ivanbadenh

    2 жыл бұрын

    f(x)=x because 5f(x) = 5x and f(5x)=5x so f(5x)=5f(x)

  • @ice5crystal
    @ice5crystal7 жыл бұрын

    What grade are y'all in ?

  • @IlluminatedLIfe
    @IlluminatedLIfe6 жыл бұрын

    I loved this thank you for sharing!

  • @mihirshaik1203

    @mihirshaik1203

    4 жыл бұрын

    yea

  • @buttersdog
    @buttersdog4 ай бұрын

    Bro I’m boutta have the test in an hour and this is the ONLY thing I’ve ever struggled on in math. I’m cooked man

  • @Mathispower4u

    @Mathispower4u

    4 ай бұрын

    How did it go?

  • @PendyalaS
    @PendyalaS6 жыл бұрын

    very well explained.

  • @ElafTaleb
    @ElafTaleb10 жыл бұрын

    Thank you! Thank you, thank you!!

  • @roseb2105
    @roseb21055 жыл бұрын

    were are you getting the x values the function of h(x)

  • @mihirshaik1203

    @mihirshaik1203

    4 жыл бұрын

    yes

  • @AudriezWorld
    @AudriezWorld9 жыл бұрын

    which software did you use to illustrate these diffrent functions?

  • @LWild-jx1io

    @LWild-jx1io

    5 жыл бұрын

    you can use GeoGebra.com

  • @121212narutoful
    @121212narutoful8 жыл бұрын

    Great Video!

  • @rabihamze1484
    @rabihamze14842 жыл бұрын

    thx man really appreciate the help

  • @Ippoone
    @Ippoone7 жыл бұрын

    So A is the vertical stretch and compression? and B is the Horizontal stretch and compression?

  • @ibrokemyownheart4953
    @ibrokemyownheart49533 жыл бұрын

    What about a negative number by x? Like: -2x

  • @firdaus2757
    @firdaus27575 жыл бұрын

    It is really helpful thanks

  • @starstruckeed
    @starstruckeed Жыл бұрын

    so even if only one y value is less than the x value and the others are greater that still means its a compression??

  • @jameserayburn
    @jameserayburn8 жыл бұрын

    Well done. Thank you sir.

  • @chrisvalente7576
    @chrisvalente75762 жыл бұрын

    Well done. Thanks!

  • @bhaveerathod2373
    @bhaveerathod23732 жыл бұрын

    much better taught than my teacher

  • @dannylaurenzana1
    @dannylaurenzana18 жыл бұрын

    very nice, thanks

  • @JJProductions2012
    @JJProductions20126 жыл бұрын

    This video was extremely helpful! Saved my gpa, saved my marriage, saved my life! @Ivan Herrera

  • @DavidTBondi
    @DavidTBondi9 жыл бұрын

    Thank you very much.

  • @jennyncfhfhfh7637
    @jennyncfhfhfh76373 жыл бұрын

    Thank you very helpful

  • @catherinelee3394
    @catherinelee33949 жыл бұрын

    This was an exceptionally clear and easy to understand math video - I understand this concept so much better now. Thank you so much.

  • @jellyrei9881
    @jellyrei98816 жыл бұрын

    wait so a vertical stretch is the parabola narrowing, and the vertical shrink is the parabola widening?

  • @joshuamendoza2720

    @joshuamendoza2720

    5 жыл бұрын

    Yes

  • @SmileyIsAlone
    @SmileyIsAlone10 ай бұрын

    I get it now thanks

  • @Nora-ks2sq
    @Nora-ks2sq Жыл бұрын

    god bless this video

  • @AliciaMarkoe
    @AliciaMarkoe Жыл бұрын

    Thank you! 🦋

  • @emilyrawahi684
    @emilyrawahi68412 жыл бұрын

    thankes alot for the good explen ^-^

  • @dariencelis1395
    @dariencelis13954 жыл бұрын

    what if the number is negative

  • @hussainaladwan7902
    @hussainaladwan79027 жыл бұрын

    what is the difference between a horizontal compression and a vertical stretch

  • @lukaszha8826

    @lukaszha8826

    7 жыл бұрын

    Hussain Aladwan that's why this video is confusing and should not be liked

  • @ice5crystal

    @ice5crystal

    7 жыл бұрын

    Hussain Aladwan they're actually the same

  • @numankashif6158
    @numankashif6158 Жыл бұрын

    nice video. very informative video about graph.

  • @Mathispower4u

    @Mathispower4u

    Жыл бұрын

    Thank you!

  • @untitledspiritcraft398
    @untitledspiritcraft39810 жыл бұрын

    Im confused what if the factor for the vertical shift is 3/2 ?? ughh

  • @Mathispower4u

    @Mathispower4u

    10 жыл бұрын

    3/2 = 1.5 Vertical stretch by 1.5

  • @hrredone2561
    @hrredone25613 жыл бұрын

    Thank you

  • @amirah.elghanam5035
    @amirah.elghanam50358 жыл бұрын

    where can i get those slides please?????

  • @richardnixon7089
    @richardnixon70892 жыл бұрын

    Thank you very

  • @deyvikasrinivasa5996
    @deyvikasrinivasa59968 жыл бұрын

    thank you so much!!!!

  • @mihirshaik1203

    @mihirshaik1203

    4 жыл бұрын

    same

  • @SatyamSingh-un5sc
    @SatyamSingh-un5sc6 ай бұрын

    Hlo i would love to see you reply plz

  • @medhanitmamo6525
    @medhanitmamo652511 жыл бұрын

    thanks

  • @Eat0nly
    @Eat0nly2 жыл бұрын

    Nice video gamed f45

  • @OTR251
    @OTR25110 жыл бұрын

    The quote is by Khalil Gibran, not kahlil gibran

  • @johnf7993
    @johnf79935 жыл бұрын

    What if a or b is less than 0?

  • @AT-xv5yn

    @AT-xv5yn

    4 жыл бұрын

    use the absolute value

  • @epicchocolate1866

    @epicchocolate1866

    3 жыл бұрын

    If it is negative that is a reflection about the x axis (a) or the y axis (b)

  • @timr1231
    @timr123111 жыл бұрын

    would have been better if intercepts were included

  • @simranpatel6907
    @simranpatel69077 жыл бұрын

    thank you

  • @tonydinozzo1792
    @tonydinozzo17922 жыл бұрын

    I’m in middle school and I have a test tomorrow about this… hope I pass 🤞

  • @darkrose3509
    @darkrose3509 Жыл бұрын

    horizontal dialations are x values why are you calculating the y values? that was very confusing

  • @rafayjamal5557
    @rafayjamal55574 жыл бұрын

    Thanks in 2019

  • @mihirshaik1203

    @mihirshaik1203

    4 жыл бұрын

    yes

  • @Amani_R52
    @Amani_R52Ай бұрын

    math has me sobbin

  • @jma99
    @jma998 жыл бұрын

    there are so many easier ways

  • @arif-yk7fp
    @arif-yk7fp3 жыл бұрын

    2:45 AND 5:20

  • @sdlock83
    @sdlock838 жыл бұрын

    Hate learning via slides.

  • @davidvice3720
    @davidvice37207 жыл бұрын

    a*f(b(x-c))+d where : a is Horizontal compression and Stretching b is Vertical compression and stretching it would seem you could achieve the same results through either method ......

  • @AA-sx9xu
    @AA-sx9xu6 жыл бұрын

    not clear at all :(

  • @hanakuneko4351

    @hanakuneko4351

    6 жыл бұрын

    Maybe you're too ill witted

  • @antytburner2015

    @antytburner2015

    4 жыл бұрын

    smh my head

  • @jacobsetton811

    @jacobsetton811

    4 жыл бұрын

    My gosh children

  • @reneehektner4846
    @reneehektner48465 жыл бұрын

    The video goes way too fast and I have to keep stopping a going back, a lot of pausing. And, I still don't get it after watching this video twice. Slow down.

  • @Nobes

    @Nobes

    5 жыл бұрын

    Pausing is there for a reason.

  • @vitornascimento6187
    @vitornascimento61874 жыл бұрын

    2:18 e 5:05

  • @weirdguy4948
    @weirdguy49485 жыл бұрын

    Makes no sense

  • @edenmolinar2086
    @edenmolinar20864 жыл бұрын

    this explanation is horrible I am not getting it... explain better not getting it!

  • @antytburner2015

    @antytburner2015

    4 жыл бұрын

    Eden Molinar ly eden

  • @antytburner2015

    @antytburner2015

    4 жыл бұрын

    father

  • @-paPARIka
    @-paPARIka2 жыл бұрын

    Auto r

  • @katelynhuffman8901
    @katelynhuffman89013 жыл бұрын

    my brain dead

  • @user-uz6jj6wq1j
    @user-uz6jj6wq1j5 жыл бұрын

    super awful