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Graphing transformations (KristaKingMath) 

Krista King
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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-...

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18 июл 2012

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Комментарии : 211   
@RobsLBL
@RobsLBL 7 лет назад
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 лет назад
Aw thanks!
@anonymousstudent9191
@anonymousstudent9191 7 лет назад
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
@ripleyellison6188
@ripleyellison6188 Год назад
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!
@icecubesdaughter
@icecubesdaughter 7 лет назад
Please continue making more videos. Your explanations are super crisp and easy to follow. Well done.
@kristakingmath
@kristakingmath 7 лет назад
Thank you so much, I will definitely keep going!
@payazo310
@payazo310 11 лет назад
You explain this a million times better than my Pre-calc teacher -.- wish i would of seen your video last year >.
@ksolobk
@ksolobk 10 лет назад
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 лет назад
Fuck yourself dickhead
@DeadlyInertia
@DeadlyInertia 10 лет назад
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 лет назад
Yay! I'm so glad they're helping. Thanks for letting me know! :D
@beccaehrman8529
@beccaehrman8529 3 года назад
This is more informational then my textbook, you just saved my grade thank you
@kristakingmath
@kristakingmath 2 года назад
You're welcome, I'm so glad it helped! :D
@thomasratliff9278
@thomasratliff9278 10 лет назад
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 лет назад
Glad you liked it! Thanks for letting me know. :)
@adan2374
@adan2374 9 лет назад
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 лет назад
You're welcome, I'm so glad it helps!
@redson3322
@redson3322 9 лет назад
Can you go over how to graph the transformations of different parent functions, such as, quadratics, absolutes, linear, and exponential? 
@edwardhaughney9665
@edwardhaughney9665 9 лет назад
Thank you. Showing the numerous graphs side by side is a very helpful and clever way to instruct.
@mikim4203
@mikim4203 5 лет назад
This was extremely helpful! You didn’t over complicate anything, I understood the entire topic perfectly! Thank you so much!!
@kristakingmath
@kristakingmath 5 лет назад
You're welcome, Miki, I'm so glad it helped! :D
@kristakingmath
@kristakingmath 12 лет назад
Thank you so much! Glad you liked it!! :D
@suegothard9163
@suegothard9163 6 лет назад
Very good, and very clear demonstration!
@ohbogey
@ohbogey 5 лет назад
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!
@MrBlueJumpman
@MrBlueJumpman 11 лет назад
you taught me what my math teacher couldn't, she had all year. Thank you.
@anishabakhai3015
@anishabakhai3015 7 лет назад
Wow, you're so good at explaining things quickly and thoroughly, thanks so much!
@kristakingmath
@kristakingmath 7 лет назад
:D
@_inalect
@_inalect 10 лет назад
Very concise. I'll be subscribing and taking a look at your catalog this whole semester. Thanks!
@kristakingmath
@kristakingmath 10 лет назад
Awesome! I look forward to helping along the way. :)
@izzyburke5763
@izzyburke5763 8 лет назад
This has helped me more than anyone, you literally had me thinking "ohhhhhh wow I understand" thank u so much!!!!!!
@kristakingmath
@kristakingmath 8 лет назад
You're welcome, I'm so glad it helped! :D
@yashkhelkar
@yashkhelkar 10 лет назад
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 лет назад
I love it!
@sarab9698
@sarab9698 9 лет назад
If only I could like this video times a million! This was so helpful!!!
@grahambest5712
@grahambest5712 12 лет назад
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.
@waldorsockbat5737
@waldorsockbat5737 10 лет назад
You explain things very well. Thank you.
@kristakingmath
@kristakingmath 10 лет назад
you're welcome!
@cristinadipalma9081
@cristinadipalma9081 10 лет назад
This helped more than you know-- thank you!
@kristakingmath
@kristakingmath 10 лет назад
Yay!! Thanks for letting me know. :)
@torymcclymonds4817
@torymcclymonds4817 6 лет назад
Incredibly well done, Thank you for the video, Miss King.
@erikasmith6668
@erikasmith6668 7 лет назад
Awesome!!! just enough example with a quick explanation... very good.
@kristakingmath
@kristakingmath 7 лет назад
Thanks!
@arson714
@arson714 11 лет назад
Good thing you are not my math teacher...I would have a hell of a time paying attention in class!
@dwynwade5910
@dwynwade5910 7 лет назад
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 лет назад
I know it's tough coming back after being away...but I'm glad the videos are helping! :)
@Xxtksupermanxx
@Xxtksupermanxx 7 лет назад
It's may 2017 and this is still hella helpful
@hdadam203
@hdadam203 6 лет назад
Thanks Kista, was very helpful.
@kristakingmath
@kristakingmath 11 лет назад
So glad you feel that way! :)
@redson3322
@redson3322 9 лет назад
Can you go over how to graph the transformations of different parent functions, such as, quadratics, absolutes, linear, and exponential?
@rahulbsb1
@rahulbsb1 12 лет назад
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!!
@killersdisneyboy
@killersdisneyboy 10 лет назад
your video was definitely the most helpful. thank you so much! keep up the good work! :)
@petermurphy8934
@petermurphy8934 7 лет назад
Thankyou Krista well presented video that makes the topic accessible
@kristakingmath
@kristakingmath 7 лет назад
Glad it could help!
@kristakingmath
@kristakingmath 12 лет назад
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!
@AlyPicon
@AlyPicon 7 лет назад
this video saved my life
@bemighty3510
@bemighty3510 6 лет назад
me too
@fazul__7477
@fazul__7477 7 лет назад
wow....i was just studying to get good marks but after watching your video i learnt so much
@kristakingmath
@kristakingmath 7 лет назад
I'm so glad it could help!
@camaro200010
@camaro200010 8 лет назад
its June 7, 2016 and your video is still helpful. :)
@taylorpreston9632
@taylorpreston9632 8 лет назад
These concepts of mathematics haven't changed all that much in 4 years XD
@urvishpatel4815
@urvishpatel4815 10 лет назад
Very helpful video. Thanks for detailed explanation.
@kristakingmath
@kristakingmath 10 лет назад
Glad you liked it! :)
@emmaploch2755
@emmaploch2755 6 лет назад
Awesome video. Thank you so much! :D
@rcksvtcontour
@rcksvtcontour 9 лет назад
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 лет назад
Wow, thank you so much! :D
@petureggertsson4866
@petureggertsson4866 7 лет назад
Krista you're a legend
@kristakingmath
@kristakingmath 7 лет назад
Awww thanks Petur! :D
@arwaa361
@arwaa361 10 лет назад
That helped a lot! You're amazing :) Thank you
@kristakingmath
@kristakingmath 10 лет назад
Awesome! Thanks for letting me know. :)
@kristakingmath
@kristakingmath 11 лет назад
Glad I could help! :)
@hanadi5470
@hanadi5470 6 лет назад
Sis you saved my life 💕💕💕
@eturnallife
@eturnallife 10 лет назад
Your great, clear and direct!!!!
@kristakingmath
@kristakingmath 10 лет назад
Thanks!
@leahmartz4972
@leahmartz4972 7 лет назад
This was so helpful!!!! Thank you!
@kristakingmath
@kristakingmath 7 лет назад
You're so welcome! Thanks for letting me know!
@indian_scouser_ynwa
@indian_scouser_ynwa 7 лет назад
mam,ur videos r just out of the world.thank u very much.subscribed to your channel..
@kristakingmath
@kristakingmath 7 лет назад
Aw thanks! :)
@weezerjr955
@weezerjr955 6 лет назад
Liked, Subscribed, you are my savior. Thank you so much.
@uiticus
@uiticus 4 года назад
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!
@iAllyy2000
@iAllyy2000 10 лет назад
I'm kind of confused about the shrinks,stretches, and reflections. Do I plug in points or estimate how the line should look?
@issam7283
@issam7283 10 лет назад
great work and i hope the best
@kristakingmath
@kristakingmath 10 лет назад
Thanks!
@MochikoCake
@MochikoCake 11 лет назад
This video helped me a lot. Thank yoou! :)
@chrisalvarez9115
@chrisalvarez9115 6 лет назад
Krista King thank you very much, know I´m prepared for my test :)
@mindoverbread1213
@mindoverbread1213 10 лет назад
Thank you. Very clearly explained.
@kristakingmath
@kristakingmath 10 лет назад
Thanks! :D
@guilhermeadan2329
@guilhermeadan2329 6 лет назад
very clear explanation :)
@kristakingmath
@kristakingmath 11 лет назад
awesome! i'm so glad! :)
@shivy8255
@shivy8255 8 лет назад
This is great!
@brandonmiller1082
@brandonmiller1082 8 лет назад
Cool, this explained it much better and more simpler than my teacher!
@kristakingmath
@kristakingmath 8 лет назад
+Brandon Miller Nice, I'm glad I could help!
@brandonmiller1082
@brandonmiller1082 8 лет назад
CalculusExpert.com Got anything on quadric equations and -square roots?
@kristakingmath
@kristakingmath 8 лет назад
+Brandon Miller This should help! ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-2yBhDsNE0wg.html
@saniatassadaq2063
@saniatassadaq2063 7 лет назад
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
@v8monster186
@v8monster186 10 лет назад
Tnx very much . you are my good teacher
@kristakingmath
@kristakingmath 10 лет назад
Thanks! :D
@kendaru8755
@kendaru8755 6 лет назад
ABOUT TO ACE MY MATH TEST NOW THANKS QUEEN
@kimjosh9007
@kimjosh9007 9 лет назад
Awesome video, helped me study for finals :D
@DazReht
@DazReht 10 лет назад
You are awesome! Thank you!
@kristakingmath
@kristakingmath 10 лет назад
Aww thanks! You too. :)
@guilhermeadan2329
@guilhermeadan2329 6 лет назад
great format
@MrSupernova111
@MrSupernova111 9 лет назад
Beautiful explanation!
@kristakingmath
@kristakingmath 9 лет назад
Thank you!
@ishaanverma2239
@ishaanverma2239 7 лет назад
OMGGGG TYSM! really helped me a lot :)
@kristakingmath
@kristakingmath 7 лет назад
I'm so glad I could help!
@kristakingmath
@kristakingmath 11 лет назад
Awesome! And you're welcome! :)
@abcdef-eb5ev
@abcdef-eb5ev 6 лет назад
Helped me on my Mathlab hw 💯
@georgies405
@georgies405 10 лет назад
lovely now i can finish this calc homework thnx
@mahadwarsame9365
@mahadwarsame9365 11 лет назад
that was really helpful!!!
@jessipie95
@jessipie95 11 лет назад
You're amazing ! (: Thanksss
@kimebina2586
@kimebina2586 6 лет назад
Are these rules the same for all types of parent functions?...and u didn't mention left and right movements
@tayyebbaig7400
@tayyebbaig7400 11 лет назад
GREAT!!! THANK U SO MUCH...
@davidmacias4058
@davidmacias4058 8 лет назад
THANK YOU!!!
@wendyreynoso5880
@wendyreynoso5880 5 лет назад
thank you so much, very helpful
@kristakingmath
@kristakingmath 5 лет назад
You're welcome, Wendy! I'm so glad it was helpful! :D
@nuzhatbatool4509
@nuzhatbatool4509 8 лет назад
Thanks. This video is worth full for me.
@kristakingmath
@kristakingmath 8 лет назад
+Nuzhat Batool You're welcome!
@kimebina2586
@kimebina2586 6 лет назад
Thank u so much 😍
@rahulbsb1
@rahulbsb1 12 лет назад
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..
@nooodleproductions
@nooodleproductions 10 лет назад
Thank you soooo much!! I have my pre-cal finals tomorrow, and this helped a whole lot!!!
@kristakingmath
@kristakingmath 10 лет назад
Good luck tomorrow! :D
@nooodleproductions
@nooodleproductions 10 лет назад
integralCALC thank you! I passed :)
@JetpackRemy
@JetpackRemy 11 лет назад
this is a perfect video
@naimulhaq9626
@naimulhaq9626 10 лет назад
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
@ThrashAbaddon 11 лет назад
love it :)
@anthonymaestas7298
@anthonymaestas7298 6 лет назад
thank you!
@AbidKhan-rj5kt
@AbidKhan-rj5kt 8 лет назад
Thank you. This helped me
@kristakingmath
@kristakingmath 8 лет назад
+Abid Khan You're welcome, I'm so glad it helped!
@sarahmainero7335
@sarahmainero7335 5 лет назад
thank you so much !!
@kristakingmath
@kristakingmath 5 лет назад
You're welcome, Sar! :)
@cheeseinspace
@cheeseinspace 7 лет назад
Thank you for your helpful video
@kristakingmath
@kristakingmath 7 лет назад
You're welcome Ken! :)
@kristakingmath
@kristakingmath 11 лет назад
you're welcome!! :D
@alphaapvx3817
@alphaapvx3817 10 лет назад
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.
@dyoverdx
@dyoverdx 7 лет назад
What software are you using to write with chalk? I love it!
@kristakingmath
@kristakingmath 7 лет назад
I explain here :) www.kristakingmath.com/blog/how-i-create-my-videos
@johnoliver8373
@johnoliver8373 7 лет назад
thank you- i finally get it
@kristakingmath
@kristakingmath 7 лет назад
Awesome! Thanks for letting me know. :)
@Eren92812
@Eren92812 8 лет назад
im confuse, so my equation is y=5√x-4+1 it says on my answer key to shift right by 4
@muhammedibrahim451
@muhammedibrahim451 8 лет назад
amazing video thanks
@kristakingmath
@kristakingmath 8 лет назад
+Muhammed Ibrahim Thanks! Glad you liked it!
@DevashishGupta132435LC
@DevashishGupta132435LC 8 лет назад
brilliant
@zahraaabdulhadi5881
@zahraaabdulhadi5881 8 лет назад
well done!
@kristakingmath
@kristakingmath 8 лет назад
+Zahraa Abdulhadi thank you!
@zainawan6968
@zainawan6968 4 года назад
very good method of teaching
@kristakingmath
@kristakingmath 4 года назад
Thank you, Zain! :)
@sail2byzantium
@sail2byzantium 7 лет назад
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 лет назад
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 лет назад
Whew. Glad it's not just me. Thank you Krista! Much appreciated.
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