Graphing transformations (KristaKingMath)

Learn how to graph transformations of a function. We'll look at vertical shifts, reflections about the x and y axis, and vertical stretching and shrinking.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingmath.com
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingmath.com
FACEBOOK // / kristakingmath
TWITTER // / kristakingmath
INSTAGRAM // / kristakingmath
PINTEREST // / kristakingmath
GOOGLE+ // plus.google.com/+Integralcalc/
QUORA // www.quora.com/profile/Krista-...

Пікірлер: 211

  • @RobsLBL
    @RobsLBL7 жыл бұрын

    A very great teacher you are if not the best, clear and concise subject material. Thank you for making math fun again!!!

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    Aw thanks!

  • @thomasratliff9278
    @thomasratliff927810 жыл бұрын

    Thank you for the help. I learn more from you because I think you keep it simple. You don't draw a thousand lines at every 1,2,3,4, etc value. That is not needed. You teach the principle and what stuff means, period. Thanks again.....tommy

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Glad you liked it! Thanks for letting me know. :)

  • @icecubesdaughter
    @icecubesdaughter7 жыл бұрын

    Please continue making more videos. Your explanations are super crisp and easy to follow. Well done.

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    Thank you so much, I will definitely keep going!

  • @ksolobk
    @ksolobk10 жыл бұрын

    Not only you explain with details which make it easy to understand, but you are beautiful. You are the absolute value of divine!

  • @pigeonlove

    @pigeonlove

    5 жыл бұрын

    Fuck yourself dickhead

  • @DeadlyInertia
    @DeadlyInertia10 жыл бұрын

    Your videos helped me do the best locally when I sat my regional examinations in the Caribbean, I am so grateful. Now I am back again for more advanced course at my school, and your videos are helping, THANKS!

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Yay! I'm so glad they're helping. Thanks for letting me know! :D

  • @ripleyellison6188
    @ripleyellison6188 Жыл бұрын

    Sometimes it just takes hearing something in a different way for it to click. This was much easier to understand than the videos that come with my textbook. Thank you!

  • @edwardhaughney9665
    @edwardhaughney96659 жыл бұрын

    Thank you. Showing the numerous graphs side by side is a very helpful and clever way to instruct.

  • @adan2374
    @adan23749 жыл бұрын

    FYI you explain things so well and in a manner that makes it much easier for me to understand, so thank you.

  • @kristakingmath

    @kristakingmath

    9 жыл бұрын

    You're welcome, I'm so glad it helps!

  • @redson3322

    @redson3322

    9 жыл бұрын

    Can you go over how to graph the transformations of different parent functions, such as, quadratics, absolutes, linear, and exponential? 

  • @suegothard9163
    @suegothard91636 жыл бұрын

    Very good, and very clear demonstration!

  • @anonymousstudent9191
    @anonymousstudent91917 жыл бұрын

    bruh its nice to have a fine ass math teacher giving this lesson it puts a little fun in learning this lol. this helped me alot thanks

  • @mikim4203
    @mikim42035 жыл бұрын

    This was extremely helpful! You didn’t over complicate anything, I understood the entire topic perfectly! Thank you so much!!

  • @kristakingmath

    @kristakingmath

    5 жыл бұрын

    You're welcome, Miki, I'm so glad it helped! :D

  • @payazo310
    @payazo31011 жыл бұрын

    You explain this a million times better than my Pre-calc teacher -.- wish i would of seen your video last year >.

  • @waldorsockbat5737
    @waldorsockbat573710 жыл бұрын

    You explain things very well. Thank you.

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    you're welcome!

  • @beccaehrman8529
    @beccaehrman85293 жыл бұрын

    This is more informational then my textbook, you just saved my grade thank you

  • @kristakingmath

    @kristakingmath

    2 жыл бұрын

    You're welcome, I'm so glad it helped! :D

  • @_inalect
    @_inalect10 жыл бұрын

    Very concise. I'll be subscribing and taking a look at your catalog this whole semester. Thanks!

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Awesome! I look forward to helping along the way. :)

  • @anishabakhai3015
    @anishabakhai30157 жыл бұрын

    Wow, you're so good at explaining things quickly and thoroughly, thanks so much!

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    :D

  • @ohbogey
    @ohbogey5 жыл бұрын

    1 minute in & I'm wondering why this instructor isn't doing Pearson mathlab vids! MUCH better than who they have currently in my course vids!

  • @torymcclymonds4817
    @torymcclymonds48176 жыл бұрын

    Incredibly well done, Thank you for the video, Miss King.

  • @erikasmith6668
    @erikasmith66687 жыл бұрын

    Awesome!!! just enough example with a quick explanation... very good.

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    Thanks!

  • @sarab9698
    @sarab96989 жыл бұрын

    If only I could like this video times a million! This was so helpful!!!

  • @cristinadipalma9081
    @cristinadipalma908110 жыл бұрын

    This helped more than you know-- thank you!

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Yay!! Thanks for letting me know. :)

  • @izzyburke5763
    @izzyburke57638 жыл бұрын

    This has helped me more than anyone, you literally had me thinking "ohhhhhh wow I understand" thank u so much!!!!!!

  • @kristakingmath

    @kristakingmath

    8 жыл бұрын

    You're welcome, I'm so glad it helped! :D

  • @yashkhelkar
    @yashkhelkar10 жыл бұрын

    i was always intimidated by maths and would avoid it!! but now i am oozing with excitement ,"i never felt so great"

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    I love it!

  • @kristakingmath
    @kristakingmath12 жыл бұрын

    Thank you so much! Glad you liked it!! :D

  • @rahulbsb1
    @rahulbsb112 жыл бұрын

    Thank God!! Finally someone came up with this concept..Very well explained coz this a very very important concept and it forms a crucial part go precalculus.. Awesome explanation!!

  • @hdadam203
    @hdadam2036 жыл бұрын

    Thanks Kista, was very helpful.

  • @petermurphy8934
    @petermurphy89347 жыл бұрын

    Thankyou Krista well presented video that makes the topic accessible

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    Glad it could help!

  • @grahambest5712
    @grahambest571212 жыл бұрын

    this video was great! I just got a new TI nspire (mines bigger) and this gave me a chance to try to input different x values and see how they'd look. way better understanding, and a way better understanding of my new hardwear. Get one people their on sale at staples for the same price as an ti-84 right now.

  • @dwynwade5910
    @dwynwade59107 жыл бұрын

    You just saved my life. Lol It's been 3 years since my last math course, so this is coming in handy for my College Algebra.

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    I know it's tough coming back after being away...but I'm glad the videos are helping! :)

  • @redson3322
    @redson33229 жыл бұрын

    Can you go over how to graph the transformations of different parent functions, such as, quadratics, absolutes, linear, and exponential?

  • @killersdisneyboy
    @killersdisneyboy10 жыл бұрын

    your video was definitely the most helpful. thank you so much! keep up the good work! :)

  • @urvishpatel4815
    @urvishpatel481510 жыл бұрын

    Very helpful video. Thanks for detailed explanation.

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Glad you liked it! :)

  • @Xxtksupermanxx
    @Xxtksupermanxx7 жыл бұрын

    It's may 2017 and this is still hella helpful

  • @camaro200010
    @camaro2000108 жыл бұрын

    its June 7, 2016 and your video is still helpful. :)

  • @taylorpreston9632

    @taylorpreston9632

    8 жыл бұрын

    These concepts of mathematics haven't changed all that much in 4 years XD

  • @kristakingmath
    @kristakingmath11 жыл бұрын

    So glad you feel that way! :)

  • @indian_scouser_ynwa
    @indian_scouser_ynwa7 жыл бұрын

    mam,ur videos r just out of the world.thank u very much.subscribed to your channel..

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    Aw thanks! :)

  • @eturnallife
    @eturnallife10 жыл бұрын

    Your great, clear and direct!!!!

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Thanks!

  • @rcksvtcontour
    @rcksvtcontour9 жыл бұрын

    Awesome thanks so much! Subscribed, Liked and will be recommending everyone I know taking Pre calc and above to watch your videos. Thanks again!

  • @kristakingmath

    @kristakingmath

    9 жыл бұрын

    Wow, thank you so much! :D

  • @MrBlueJumpman
    @MrBlueJumpman11 жыл бұрын

    you taught me what my math teacher couldn't, she had all year. Thank you.

  • @AlyPicon
    @AlyPicon7 жыл бұрын

    this video saved my life

  • @bemighty3510

    @bemighty3510

    6 жыл бұрын

    me too

  • @fazul__7477
    @fazul__74777 жыл бұрын

    wow....i was just studying to get good marks but after watching your video i learnt so much

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    I'm so glad it could help!

  • @issam7283
    @issam728310 жыл бұрын

    great work and i hope the best

  • @weezerjr955
    @weezerjr9556 жыл бұрын

    Liked, Subscribed, you are my savior. Thank you so much.

  • @arwaa361
    @arwaa36110 жыл бұрын

    That helped a lot! You're amazing :) Thank you

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Awesome! Thanks for letting me know. :)

  • @emmaploch2755
    @emmaploch27556 жыл бұрын

    Awesome video. Thank you so much! :D

  • @hanadi5470
    @hanadi54706 жыл бұрын

    Sis you saved my life 💕💕💕

  • @leahmartz4972
    @leahmartz49727 жыл бұрын

    This was so helpful!!!! Thank you!

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    You're so welcome! Thanks for letting me know!

  • @chrisalvarez9115
    @chrisalvarez91156 жыл бұрын

    Krista King thank you very much, know I´m prepared for my test :)

  • @petureggertsson4866
    @petureggertsson48667 жыл бұрын

    Krista you're a legend

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    Awww thanks Petur! :D

  • @MochikoCake
    @MochikoCake11 жыл бұрын

    This video helped me a lot. Thank yoou! :)

  • @guilhermeadan2329
    @guilhermeadan23296 жыл бұрын

    very clear explanation :)

  • @MrSupernova111
    @MrSupernova1119 жыл бұрын

    Beautiful explanation!

  • @kristakingmath

    @kristakingmath

    9 жыл бұрын

    Thank you!

  • @v8monster186
    @v8monster18610 жыл бұрын

    Tnx very much . you are my good teacher

  • @guilhermeadan2329
    @guilhermeadan23296 жыл бұрын

    great format

  • @shivy8255
    @shivy82558 жыл бұрын

    This is great!

  • @georgies405
    @georgies40510 жыл бұрын

    lovely now i can finish this calc homework thnx

  • @mindoverbread1213
    @mindoverbread121310 жыл бұрын

    Thank you. Very clearly explained.

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Thanks! :D

  • @kristakingmath
    @kristakingmath11 жыл бұрын

    Glad I could help! :)

  • @abcdef-eb5ev
    @abcdef-eb5ev6 жыл бұрын

    Helped me on my Mathlab hw 💯

  • @kimjosh9007
    @kimjosh90079 жыл бұрын

    Awesome video, helped me study for finals :D

  • @DazReht
    @DazReht10 жыл бұрын

    You are awesome! Thank you!

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Aww thanks! You too. :)

  • @mahadwarsame9365
    @mahadwarsame936511 жыл бұрын

    that was really helpful!!!

  • @kendaru8755
    @kendaru87556 жыл бұрын

    ABOUT TO ACE MY MATH TEST NOW THANKS QUEEN

  • @nuzhatbatool4509
    @nuzhatbatool45098 жыл бұрын

    Thanks. This video is worth full for me.

  • @kristakingmath

    @kristakingmath

    8 жыл бұрын

    +Nuzhat Batool You're welcome!

  • @ishaanverma2239
    @ishaanverma22397 жыл бұрын

    OMGGGG TYSM! really helped me a lot :)

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    I'm so glad I could help!

  • @nooodleproductions
    @nooodleproductions10 жыл бұрын

    Thank you soooo much!! I have my pre-cal finals tomorrow, and this helped a whole lot!!!

  • @kristakingmath

    @kristakingmath

    10 жыл бұрын

    Good luck tomorrow! :D

  • @nooodleproductions

    @nooodleproductions

    10 жыл бұрын

    integralCALC thank you! I passed :)

  • @uiticus
    @uiticus4 жыл бұрын

    Excellent video as usual. I have a question regarding the last transformation. Suppose instead of having the function of y=x, you have the function of y= (-x); is this last function also a transformation about the y axis? Thank you for all the great videos. You are a math genius!

  • @wendyreynoso5880
    @wendyreynoso58805 жыл бұрын

    thank you so much, very helpful

  • @kristakingmath

    @kristakingmath

    5 жыл бұрын

    You're welcome, Wendy! I'm so glad it was helpful! :D

  • @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. plz tell me if you know

  • @kristakingmath
    @kristakingmath11 жыл бұрын

    Thanks!

  • @davidmacias4058
    @davidmacias40588 жыл бұрын

    THANK YOU!!!

  • @iAllyy2000
    @iAllyy200010 жыл бұрын

    I'm kind of confused about the shrinks,stretches, and reflections. Do I plug in points or estimate how the line should look?

  • @cheeseinspace
    @cheeseinspace7 жыл бұрын

    Thank you for your helpful video

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    You're welcome Ken! :)

  • @tayyebbaig7400
    @tayyebbaig740011 жыл бұрын

    GREAT!!! THANK U SO MUCH...

  • @AbidKhan-rj5kt
    @AbidKhan-rj5kt8 жыл бұрын

    Thank you. This helped me

  • @kristakingmath

    @kristakingmath

    8 жыл бұрын

    +Abid Khan You're welcome, I'm so glad it helped!

  • @jessipie95
    @jessipie9511 жыл бұрын

    You're amazing ! (: Thanksss

  • @JetpackRemy
    @JetpackRemy11 жыл бұрын

    this is a perfect video

  • @kimebina2586
    @kimebina25866 жыл бұрын

    Thank u so much 😍

  • @anthonymaestas7298
    @anthonymaestas72986 жыл бұрын

    thank you!

  • @kristakingmath
    @kristakingmath11 жыл бұрын

    awesome! i'm so glad! :)

  • @brandonmiller1082
    @brandonmiller10828 жыл бұрын

    Cool, this explained it much better and more simpler than my teacher!

  • @kristakingmath

    @kristakingmath

    8 жыл бұрын

    +Brandon Miller Nice, I'm glad I could help!

  • @brandonmiller1082

    @brandonmiller1082

    8 жыл бұрын

    CalculusExpert.com Got anything on quadric equations and -square roots?

  • @kristakingmath

    @kristakingmath

    8 жыл бұрын

    +Brandon Miller This should help! kzread.info/dash/bejne/ZK12yqasfqiWp8o.html

  • @kristakingmath
    @kristakingmath10 жыл бұрын

    Thanks! :D

  • @sarahmainero7335
    @sarahmainero73355 жыл бұрын

    thank you so much !!

  • @kristakingmath

    @kristakingmath

    5 жыл бұрын

    You're welcome, Sar! :)

  • @arson714
    @arson71411 жыл бұрын

    Good thing you are not my math teacher...I would have a hell of a time paying attention in class!

  • @naimulhaq9626
    @naimulhaq962610 жыл бұрын

    You are such a nice presenter, I wonder why don't you make videos about problems like problem no.8-11 of Posamentier's Math Charmers !

  • @ThrashAbaddon
    @ThrashAbaddon11 жыл бұрын

    love it :)

  • @kristakingmath
    @kristakingmath11 жыл бұрын

    Awesome! And you're welcome! :)

  • @zainawan6968
    @zainawan69684 жыл бұрын

    very good method of teaching

  • @kristakingmath

    @kristakingmath

    4 жыл бұрын

    Thank you, Zain! :)

  • @muhammedibrahim451
    @muhammedibrahim4518 жыл бұрын

    amazing video thanks

  • @kristakingmath

    @kristakingmath

    8 жыл бұрын

    +Muhammed Ibrahim Thanks! Glad you liked it!

  • @rahulbsb1
    @rahulbsb112 жыл бұрын

    Cud u please do a complete lecture on graphing all sorts of functions?? Like the ones wherein we have situations like this: y=f(x)+g(x) or y=f(x)•g(x) or y=f(g(x)). Plus pls include the floor, ceiling functions and fractional parts as well. Also mixed type of functions like y=x.sinx or modulus equation like |y|=|f(|x|)| or something of that sort... You did a gr8 job with the current video but pls do a comprehensive one on this whole graphing of functions thing..

  • @zahraaabdulhadi5881
    @zahraaabdulhadi58818 жыл бұрын

    well done!

  • @kristakingmath

    @kristakingmath

    8 жыл бұрын

    +Zahraa Abdulhadi thank you!

  • @johnoliver8373
    @johnoliver83738 жыл бұрын

    thank you- i finally get it

  • @kristakingmath

    @kristakingmath

    8 жыл бұрын

    Awesome! Thanks for letting me know. :)

  • @kristakingmath
    @kristakingmath12 жыл бұрын

    Hey Tom from Purdue! :) For now, I'm trying to stick with CALC I and II to make sure I cover them as thoroughly as possible, so it's probably going to be a while. Sorry about that!

  • @dyoverdx
    @dyoverdx7 жыл бұрын

    What software are you using to write with chalk? I love it!

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    I explain here :) www.kristakingmath.com/blog/how-i-create-my-videos

  • @DevashishGupta132435LC
    @DevashishGupta132435LC8 жыл бұрын

    brilliant

  • @sail2byzantium
    @sail2byzantium7 жыл бұрын

    Hi Krista, Do you have a video explaining this concerning sine and cosine graphs? Reviewing some trig stuff and I'm having difficulty recognizing when these flip. E.g., from a workbook I'm using, I have f(x) = cos x going to g(x) cos (-2x + 5) + pi. I understand the left / right and up / down translations (shifting left 5 spaces, up pi spaces) and I can even graph it if I want to go through the tedium of it. But that -2 as multiplied by the cosine supposedly flips it, across the y axis--yet as I see it graphed I don't recognize the flip--it just looks like the original graph moved up and over. (sine is usually easier for me to visually grasp--usually). If I were tested on this, would I have to recognize the flip from just visuals alone? Even with a set of multi-choice equations this seems very tricky. What to do to improve my visual acuity? Thank you! (Apologies for length.)

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    Yeah, the flips are tough. If the graph is already symmetrical about the y-axis before the flip, then flipping it across the y-axis won't change the way it looks AT ALL. The best thing to do is to focus on what the graph looks like right around the y-axis. If the graph has a maximum or minimum sitting on the y-axis (the y-axis goes straight through one of its "humps"), then it's symmetrical and flipping it won't change the way it looks. But if the graph crosses the y-axis at any other point, then flipping it will make it look slightly different. Unfortunately I don't have another video about transformations with trig functions, so I really need to add one! :)

  • @sail2byzantium

    @sail2byzantium

    7 жыл бұрын

    Whew. Glad it's not just me. Thank you Krista! Much appreciated.

  • @kimebina2586
    @kimebina25866 жыл бұрын

    Are these rules the same for all types of parent functions?...and u didn't mention left and right movements

  • @dannykim9059
    @dannykim90597 жыл бұрын

    Thank you.

  • @kristakingmath

    @kristakingmath

    7 жыл бұрын

    I'm glad I could help!

  • @Eren92812
    @Eren928128 жыл бұрын

    im confuse, so my equation is y=5√x-4+1 it says on my answer key to shift right by 4

  • @alphaapvx3817
    @alphaapvx381710 жыл бұрын

    You had a function f(x)=(-x)^1/2 You're squaring a negative, this would give you complex numbers, all you did was that you just flip f(x) onto the otherside of the x-plane.