Write functions for the following transformations using function notation. Choose a different letter to represent each function. For example, you can use R to represent rotations. Assume that a positive rotation occurs in the counterclockwise direction.
help?

Question

Write functions for the following transformations using function notation. Choose a different letter to represent each function. For example, you can use R to represent rotations. Assume that a positive rotation occurs in the counterclockwise direction.
help?

cashgirl1369 · Answer

attachment

cashgirl1369 · Answer

@agent0smith any help you can provide would be amazing

cashgirl1369 · Answer

@sweetburger

cashgirl1369 · Answer

@mathstudent55 @mathmate @math&ing001

cashgirl1369 · Answer

@Nnesha

cashgirl1369 · Answer

@pooja195

mathmate · Answer

This is like the summary of what your teacher taught!
If you had taken notes during class, they would be the answers to these questions!  lol
I will give these transformations in the usual notations which you can look up from your notes (on paper or on screen).
$T(a,b): (x,y)->(x+a,y+b)$
$r_y: (x,y)->(-x,y)$
$r_x: (x,y)->(x,-y)$
$r_{y=x}: (x,y)->(y,x)$
$R_{90}:(x,y)->(-y,x)$
$R_{180}:(x,y)->(-x,-y)$
$R_{270}:(x,y)->(y,-x)$
Some identities:
$R_{90}\circ R_{90} = R_{180}$
$R_{90}\circ R_{180} = R_{270}$
$r_x\circ r_y=r_y\circ r_x=R_{180}$
$r_y\circ R_{90}=r_{y=x}$

cashgirl1369 · Answer

my teacher doesnt teach

mathmate · Answer

Your statement is a contradiction!  lol

cashgirl1369 · Answer

its not he doesnt teach everything is online and i cant learn like this

mathmate · Answer

It's unfortunate because not everyone learns well online, myself included.
If that's the case, you may consider switching to a brick-and-mortar school, if possible.

cashgirl1369 · Answer

its a summer school so i can finish my math classes early

cashgirl1369 · Answer

@mathmate would you mind helping me with this too

mathmate · Answer

Sure, but I would like you to try it first and tell me what you found.

cashgirl1369 · Answer

i dont know what to dow ive been trying to all night

mathmate · Answer

Tell me what you tried!

mathmate · Answer

Sorry that I have to go, that gives you more time to make more tries or show your attempts.
Perhaps others can help you too, like @agent0smith , @mathstudent55 , @mathmale, ...

cashgirl1369 · Answer

i tried to figure out what their asking for and i tried to try to write something and i cant do it i dont understand how

mathmate · Answer

You are expected to give a chain of operations, separated by the / sign.
In the example, the operations are operated from left to right.
So if someone wants to translate (3,2) and then rotate 90 degrees
you would write (using your school's notation)
<3,2>/(90,O) (x,y)=(-y-3,x+2)

cashgirl1369 · Answer

whats a notation