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.kristakingm...
● ● ● 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.kristakingm...
FACEBOOK // / kristakingmath
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INSTAGRAM // / kristakingmath
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[@RobsLBL]

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

[@kristakingmath]

Aw thanks!

[@icecubesdaughter]

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

[@kristakingmath]

Thank you so much, I will definitely keep going!

[@thomasratliff9278]

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]

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

[@DeadlyInertia]

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]

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

[@ksolobk]

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

[@pigeonlove]

Fuck yourself dickhead

[@ripleyellison6188]

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!

[@adan2374]

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

[@kristakingmath]

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

[@redson3322]

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

[@edwardhaughney9665]

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

[@mikim4203]

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

[@kristakingmath]

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

[@suegothard9163]

Very good, and very clear demonstration!

[@anonymousstudent9191]

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

[@ohbogey]

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!

[@payazo310]

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

[@anishabakhai3015]

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

[@kristakingmath]

:D

[@waldorsockbat5737]

You explain things very well. Thank you.

[@kristakingmath]

you're welcome!

[@_inalect]

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

[@kristakingmath]

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

[@beccaehrman8529]

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

[@kristakingmath]

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

[@izzyburke5763]

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

[@kristakingmath]

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

[@yashkhelkar]

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

[@kristakingmath]

I love it!

[@dwynwade5910]

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]

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

[@erikasmith6668]

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

[@kristakingmath]

Thanks!

[@petermurphy8934]

Thankyou Krista well presented video that makes the topic accessible

[@kristakingmath]

Glad it could help!

[@grahambest5712]

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.

[@cristinadipalma9081]

This helped more than you know-- thank you!

[@kristakingmath]

Yay!! Thanks for letting me know. :)

[@MarionDoesIt1]

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

[@camaro200010]

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

[@taylorpreston9632]

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

[@kristakingmath]

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

[@fazul__7477]

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

[@kristakingmath]

I'm so glad it could help!

[@Xxtksupermanxx]

It's may 2017 and this is still hella helpful

[@sarab9698]

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

[@rcksvtcontour]

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]

Wow, thank you so much! :D

[@torymcclymonds4817]

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

[@hdadam203]

Thanks Kista, was very helpful.

[@indian_scouser_ynwa]

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

[@kristakingmath]

Aw thanks! :)

[@urvishpatel4815]

Very helpful video. Thanks for detailed explanation.

[@kristakingmath]

Glad you liked it! :)

[@AlyPicon]

this video saved my life

[@bemighty3510]

me too

[@uiticus]

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!

[@redson3322]

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

[@eturnallife]

Your great, clear and direct!!!!

[@kristakingmath]

Thanks!

[@arson714]

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

[@rahulbsb1]

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..

[@naimulhaq9626]

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 !

[@arwaa361]

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

[@kristakingmath]

Awesome! Thanks for letting me know. :)

[@alphaapvx3817]

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.

[@leahmartz4972]

This was so helpful!!!! Thank you!

[@kristakingmath]

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

[@rahulbsb1]

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!!

[@petureggertsson4866]

Krista you're a legend

[@kristakingmath]

Awww thanks Petur! :D

[@iAllyy2000]

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

[@mindoverbread1213]

Thank you. Very clearly explained.

[@kristakingmath]

Thanks! :D

[@MrSupernova111]

Beautiful explanation!

[@kristakingmath]

Thank you!

[@brandonmiller1082]

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

[@kristakingmath]

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

[@brandonmiller1082]

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

[@kristakingmath]

+Brandon Miller This should help! kzbin.info/www/bejne/aKqlmXepg6pjrck

[@nooodleproductions]

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

[@kristakingmath]

Good luck tomorrow! :D

[@nooodleproductions]

integralCALC thank you! I passed :)

[@kendaru8755]

ABOUT TO ACE MY MATH TEST NOW THANKS QUEEN

[@emmaploch2755]

Awesome video. Thank you so much! :D

[@guilhermeadan2329]

very clear explanation :)

[@nicolasscicolone2112]

No horizontal shifts? Anyway, solid video. Thanks for the help on transformations.

[@leandre1808]

The last graph

[@hanadi5470]

Sis you saved my life 💕💕💕

[@chrisalvarez9115]

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

[@weezerjr955]

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

[@georgies405]

lovely now i can finish this calc homework thnx

[@wendyreynoso5880]

thank you so much, very helpful

[@kristakingmath]

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

[@ishaanverma2239]

OMGGGG TYSM! really helped me a lot :)

[@kristakingmath]

I'm so glad I could help!

[@v8monster186]

Tnx very much . you are my good teacher

[@abcdef-eb5ev]

Helped me on my Mathlab hw 💯

[@issam7283]

great work and i hope the best

[@kristakingmath]

So glad you feel that way! :)

[@saniatassadaq2063]

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]

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!

[@kimebina2586]

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

[@nuzhatbatool4509]

Thanks. This video is worth full for me.

[@kristakingmath]

+Nuzhat Batool You're welcome!

[@GH123XL]

I apologize mate, as I do not really mean that. What I meant is that I could free myself from classes as I do not really fit in very well with the concept of going to classes. :D. What I really meant is that her videos are good. In classes, I could not repeat what the teacher said.

[@guilhermeadan2329]

great format

[@killersdisneyboy]

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

[@kimjosh9007]

Awesome video, helped me study for finals :D

[@DazReht]

You are awesome! Thank you!

[@kristakingmath]

Aww thanks! You too. :)

[@zainawan6968]

very good method of teaching

[@kristakingmath]

Thank you, Zain! :)

[@AbidKhan-rj5kt]

Thank you. This helped me

[@kristakingmath]

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

[@cheeseinspace]

Thank you for your helpful video

[@kristakingmath]

You're welcome Ken! :)

[@kristakingmath]

Glad I could help! :)

[@sifrael]

Pretty high tech now, eh! I would like you to do the transformations actually showing me how the numbers of the original function get multiplied by the factors to become the new function. No sketch, just do one from start to finish.

[@kristakingmath]

Thanks!

[@MochikoCake]

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

[@dyoverdx]

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

[@kristakingmath]

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

[@tayyebbaig7400]

GREAT!!! THANK U SO MUCH...

[@shivy8255]

This is great!

[@sail2byzantium]

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]

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]

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

[@anthonymaestas7298]

thank you!

[@JetpackRemy]

this is a perfect video

[@johnoliver8373]

thank you- i finally get it

[@kristakingmath]

Awesome! Thanks for letting me know. :)

[@davidmacias4058]

THANK YOU!!!

[@gayapatel9234]

It's cool how you prove no theorems and just use them like rules you memorized.:)

[@dannykim9059]

Thank you.

[@kristakingmath]

I'm glad I could help!

[@divysrivastava6155]

It is very interesting

[@zakirabrahim6080]

is it "OUR" square root sign already? things are moving kinda quick. lol jk good video.

[@Skankhunt-xr5lb]

I dont get it explain

[@kristakingmath]

Awesome! And you're welcome! :)

[@sarahmainero7335]

thank you so much !!

[@kristakingmath]

You're welcome, Sar! :)

[@mahadwarsame9365]

that was really helpful!!!

[@DevashishGupta132435LC]

brilliant

[@Eren92812]

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

[@lauren4751]

thankyou.