# Transformation of Functions

By admin On In Articles, Blog Tagged algebra, chalk, equation, equations, example, examples, flip, function, functions, graph, horizontal, math, parent, precalculus, profrobbob, reflection, shift, Sketch, slide, Talk, tarrou, tarrou's, that, the, tranformation, transformations, vertical 100 Comments

you've changed my life like BAM!

Thank you so much for this, you practically saved me for my test tomorrow in PreCalc!

thank you so much. needed this review

The summarization of everything helped tons so I didn't have to go back and separately think what everything meant individually. Thank you!

Haha square root of zero is two @ 4:05. Thanks for the help man! Wish I had you as a teacher!

Prof Rob I think I'm falling in love with you…

Oh man what your doing is amazing! Teachers like you give students like me who are decent but not the best another view point or a simpler way to look at things. I'm currently taking pre cal at a local community college. I feel like watching your videos before I go to lecture and after everything makes sense.

I needed to subscribe to this after watching

so much bam.

@10:13, "I'll do a stretch here in a second." Lol.

You teach well…

wow u r the coolest

once again..thanks

Hello ProfRobBob, Thanks for the amazing video. I was wondering if you could add graphs in your parameter functions videos. I came across some problems that require you to graph the functions in a couple off different ways including the arrows etc. Also, they require that I use function transformation rules to do them quickly. For example, x = e exp (-t+3); y= t eventually becomes a y = ln x-A function. as such it involves paramter elimination and also a transformation function to plot it. Thanks a million.

this was very confusing the way my professor taught us but you explained it clearer, thank you!

Dear ProfRobBob

Thanks so much for all the videos.I cannot tell you how much I want to thank you.I am preparing for the SAT II ..so could you advise me on what are the chapters/topics I must pay attention to

you are a god. in university and going over review. thanks mate.

bayum!

Excellent. Easy to understand. Thank you so much.

Thank you for your wondrous explanations

Hey prof. just finished doing a couple of assignments on mymathlab and let me just say, you sir, are a miracle worker! Seriously, I left my pre-calc. class today lost and when I saw that what our prof. had covered in class was not in the homework assignments, I freaked. Thankfully, I found your channel! Thank you and take care!

BAM that transformation diagram at 11.44 <3 lol

i watch your videos ….they are all too good..

in y=af[k(x-d)]+c does k have to be factored outside of x?

so if y=af[1/3x-4]+3

would u factor k out to make it y=af[1/3(x-16)]+3?

Man you are single handedly getting me through precalculus in college. Thank you for your thorough explanations in plain english

Great teaching and explanations Rob; I wish there were more math teachers like you.

But the square root of a negative is undefined…Except when reflecting along the y axis?

You've come a long way

Thank you from egypt ♥

You've got a new subscriber. 😉

What if there is a number in front of an absolute value bar: -2 |x -1| +4?

you explained it easier then my teacher! thanks

Start summer semester in Calculus 1 on monday! Getting my review in now on the pre calculus to fresh up my memory and i have rob bob to help me again!

You write so clean

I hope you know that over here in little ol' New Zealand us year 12 math students praise you so much :')

Thank you so much, this was very helpful!

How do I transform the function f(x) into g(x)=-2f(x+5.5)-4? (i have a diagram of f(x) and I worked out that the equation is =0.9x^2-5.94x+12.301)

I understand that the correct order for transformation is

1. reflection

2. stretching/compression

3. vertical translation

4. horizontal translation

When I graph this on graphmatica, it gives unexpected results!!

Thank you for reading this :))

Lmao he said "the square root of 0 is 2" at 4:06, but he wrote 0.

thank you so much, Prof. What textbook do you use though ?Thanks so much again . I am doing the IB (math HL) so I will be using your videos a lot

THANK YOU SM

You have saved my education again rob.Thank you

4:06 what do you mean the square root of zero is 2?

I really like how you explain this, thanks

This made transformations easier for me to understand. Thank you!

he reminds me of topher grace from that 70's show

I wish you were my teacher because honestly, my mark is 27% in Functions. :'(

What does the annotation you attached mean? What's 'sqrt'?

11:51 That "WOAH!" you just did was like you were talking for 5 minutes straight X'D

BAYUM

lol

Amazing. Nice work,

ty your a good, you helped me a ton with 12:30 –

oh my glob that you ur awesome i really loved it that i really got it!!! 😀

BAMMM! Thanks for the help =)

Wow, the dotted lines, forming voxels, on which graph was initially drawn were also erased!!!! (at 9:27) They were drawn with chalk? How? They looked so perfect?

I love people who teach school online for free.

THANKS VERY MUCH SIR

Legend

These videos are awesome man! No joke. Its so nice that you breakdown how and why these rules and equation work when they're applied. I have read and reread my book several times and after watching this video it all makes sense now. haha.

Thanks for the help.

Hell yeah! thanks brother! BAM!!!

This the best video I have seen, you explained it fore the normal person to understand. Thank you!!!

GREAT video. But were you trying to see if we were still awake at 13:55? eeeek! Hahaha You have no worries of anyone falling asleep on your clearly explained lectures. Many of us owe our passing grades to you 😉

Amazing..truth beauty and goodness times infinity..or maybe to the nth power? 😀

Music is far too loud

You taught this better than my teacher could teach it in a week

freaking awesome!

Hey ProfRob, This lecture of yours really helped a lot!! I was finally able to understand it, but if i get confused in my exam regarding the shifts of graph , is it okay if i make a small table including values of x and y of orginal function and then apply same in for the transformation, And Can you pls tell what to do if they give me coordinates of the curve and tell me to draw the transformation regarding the curve. Thanks 🙂

Better explanation than my lecturer ! thanks

You are one of the best teachers online! Pls keep up the great work!

now this is a quality vid but why not use a whiteboard maybe just me but i just cant stand the chalk scraping noise lol

Você explica muito bem!

Is this Geometry or Trig?

You are the greatest to ever do this !!!!!!

Why wouldn't sqrt(x) a parabola that opens around the x axis

ALL RIGHT WOOO!!!! I love your enthusiasm 😀

Right on! you're doing a great service for struggling students!!

Such an awesome professor, You saved me sir, thank you.

AWESOME!!! I have learned so much from your instructional videos over the past 6 months as a 35 yr old college student. They have helped me in maintaining a 4.0 GPA. Thank you so much! After watching some of your videos on topics I'm currently studying in precalc, I have come to a much fuller understanding of the concepts. I just made up a quadratic function, graphed it, and then produced a transformation for it and graphed it successfully. I've been watching your, and others', videos and studying, and practicing for the past six hours in preparation for my precalc exam tomorrow morning. I now feel more confident about it and am rather excited. Thanks again! You're awesome Mr. Tarrou!

yes preach robbob life saver

YOU ARE THE MAN!!!!!!!!!!!!!

i love you Mr. "Turoo" your videos are so helpful and the way you teach and speak make it easier to understand.

Thankyou sir , ☺

Thank you so much, I was struggling with this section so much and your vid finally made a lot of things much clearer for me, I feel more confident for my quiz tomorrow

ill watch this anyday over 12 pages of notes

Taught me whole unit in 15 minutes.

Teacher takes 2 weeks and accomplishes nothingThanks

so helpfull omgg thank you

When I see an equation that I need/want to graph, my first reaction is to plug in positive values. But, in the case of graphing y=sqrt(-x-2), you end up with a complex number by doing that. So, I realized that if you plug in the neg values of the numbers used in y=sqrt(x-2), you get the reflection. Just an alternative that added to my understanding. I may not always recognize that it is a reflection. For instance, if I hadn't been given the first equation, and was told to graph y=sqrt(-x-2), I may not have even thought about reflection. I would have initially plugged in a positive number and been momentarily thrown off. Now I will always think of a way to make the equation under the radical a positive number. Thanks for the videos!

can you do this example :The graph of y = f(x) is shown. Sketch the graph of g (x) = –2f(2x + 2)

– 3 on the same axis. State the domain and range of the transformed

function.

I seen your video mate, really love the content. Liked straight away, We should connect!

at around 9:20 isnt the points supposed to be shifted right and not left to -2?

All of your videos have helped me SO much!

thanks very much Prof, transformations tricked me a lot

You are awesome. Brian is right

Thank you for helping me understand this a little better than I have understood the past week I've done in class.

I really wish I could have you as my professor! You're amazing! I love your handwriting and your way of explaining things, makes everything seem so simple and easy when it has really not been!

thanks mr. seavey this guy is great

Finally I found someone to teach me in order to teach my son

Awesome videos for the IB Diploma! Thank you!

Your handwriting, sir, is so beautiful! Thank you for your help!!!:) gratitude from BC, Canada

I LOVE YOUR VIDEOS! I am back at math in college and I know these videos are going to help me out – ONCE AGAIN. THANK YOU! <3

Thank you sir. for some great explanations. I am very thankful that i found you on Youtube.

Im fascinated ! who draws your graphs lines?

So helpful!