Shifting functions introduction | Transformations of functions | Algebra 2 | Khan Academy

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The graph of y=f(x)+k (where k is a real number) is the same as the graph of y=f(x) only it's shifted up (when k＞0) or down (when k＜0). Similarly, the graph of y=f(x-h) (where h is a real number) is the same as the graph of y=f(x) only it's shifted to the right (when h＞0) or to the left (when h＜0)
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[@daneking3235]

Basically after a long day of listening to the teacher confusing me I come home and learn from your videos thank you so much you’re making my COVID year grade looking good

[@Thestoicrevolution-v5o]

If you just keep your classes muted and spend half or a quarter of your class time watching videos related to your class content, you will learn more than in class

[@pastelseal1414]

pop please s

[@daneking3235]

@@Thestoicrevolution-v5o let’s not get a head of ourselves now I’m not that much of a good student

[@colorx6030]

Right, have been needing these recently as a university student studying EE lol. Phase shifts are really tricky if you have a shaky foundation of transformations of functions. Don't skip the foundations, kids!

[@physicsx5055]

Thanks a lot!!!!!😊😊😊

[@cheddarskitchen6882]

Khan academy teaching #1

[@Leandro_castro_ww]

Thanks

[@faisal_tarshon]

ty

[@PatriciaArceStatham]

great tool!!

[@salimmghari]

is there a mechanical engineering course coming out?

[@usmansaahil6432]

V good...😇

[@EldarZeitgeist]

what is the application you're using for shifting?

[@benjaminsommer8476]

It is called Desmos.

[@aminshams8121]

Good work

[@yashaswikulshreshtha1588]

I understand it's simple but I have a question. Why does adding h to x doesn't affect the Y value? If Y is result of function of x then change in x value must change Y value too..

[@khathiralanvahisan3450]

Imagine you have the function y=f(x) and the transformation y=f(x+h). Now take a point (x1,y1) and if we plug x1 into f(x) then we would get f(x1)=y1. Now let's put the value (x1-h) into f(x+h) and we would get f(x1-h+h)=f(x1)=y1. So we can see that in the first case f(x1) gave y1 and in the second case x1-h gave y1 so the y values don't change. So for example let's take the function y=f(x)=x^2 and the points (2,4). So f(2)=4 Now let's say we do the transformation f(x+2) so the new function will be g(x)=(x+2)^2 . Now let's say we plug in the x= 2-h and if h is equal to 2 you will get x=0 so g(2-h) would equal (2)^2 which is 4 but now the x value you plugged in was 2-h and in this case h was zero so you plugged in x=0 and got out 4 so as you can see the y value didn't change but only x changed. I hope that explained it.

[@bigchainring1977]

@@khathiralanvahisan3450 it's an accurate explanation, but sometimes it is so much easier to "see" and understand it when we can use a picture/graph..

[@hanskriese3674]

Mr. Ott sent me

[@numbers1521]

2 - f(x) is it equal to -f(x) +2 ?? is it the same transformation??

[@charless3816]

6 months late but pretty sure the answer is yes

[@diapatil]

it is

[@tobiadedoyin811]

Check what happens when you have *x-1+k*

[@icebreaker9995]

What happens

[@tobiadedoyin811]

@@icebreaker9995 Like with the points of intersection showing...

[@Leandro_castro_ww]

How can I expres so thanksful that im right now

[@glenda8306]

By, donating to their fundraiser. For them to countinue being great and posting great and useful content to students everywhere.

[@iisimplyamy8031]

Haha I guess I am known for being the stupidest person in the world ;) I am not a clown; I'm the whole circus

[@Datapitstopyaps]

U sound like marksman

[@rabiumsadick9221]

Second 😊😊

[@mariana-iz2dg]

Just how bad do teachers explain in school compared to yutube tutorials!? Like how on earth do the gentleman of this vid explain it to me for 6 min and my teacher explained it for 30 min and still confusing!?

[@WCLI-by9kf]

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[@helpmebro3]

Fourth

[@bassantbadr8604]

Pleas translate into arabic

[@glenda8306]

I used google translate, I tried my best... even though you posted this 2 years ago. لقد استخدمت ترجمة جوجل، بذلت قصارى جهدي... على الرغم من أنك نشرت هذا منذ عامين.

[@wolframalpha8634]

Fifth

[@michellesage2542]

First

[@michellesage2542]

I was first ayyy

[@muhammadashshiddieqi8653]

ĹBBBŞČ MÅÝ F W Ù ÑĒĒĐ ĒŞP ČÒÙŘŞĒŞ Ñ ĶÀHVÈÌÑ ČÒFƏĔŞHÒP Ñ MZ.ŞHÌDĐÌĒQÌ ÇHÈÇĶÌŤ

[@movieshub2120]

Plz speak in Hindi

[@debakoon]

Please translate to hindi you mean... What makes you just assume that he can speak hindi?

[@shafin5685]

@@debakoon lol

[@rosepierce9382]

@@debakoon Probably because he's Indian.

[@glenda8306]

Just came from translating arabic. lets see if other people thinks this topic was useful. (sees another comment) Sorry I just got to do a lot of hw today besides, its been 3 years so... (Person disconnected from chat)