Question

A triangle with vertices A(1, -3), B(-7, 12), C(5,0) is translated according to the rule T(x,y) = (x-3, y+9). What are the coordinates of the vertices of the translated image?

Answer 1

the rule T(x,y) = (x-3, y+9) takes any point (x,y) and turns it into (x-3, y+9)

Answer 2

for point A, we know that x = 1 and y = -3

so

x-3 = 1-3 = -2
y+9 = -3+9 = 6

A' is the point (-2,6)

Answer 3

the same is done to B and C to get B' and C'

Answer 4

so what do you get for B' ?

Answer 5

I'm doing it now.

Answer 6

ok

Answer 7

I got (-10, 21) is that correct?

Answer 8

good

Answer 9

Then for c I got (2, 9) , correct ?

Answer 10

perfect

Answer 11

btw T(x,y) = (x-3, y+9) means "take any point and move it left 3 units, then move it up 9 units"

Answer 12

That makes since

Answer 13

So there's stuff I was reading about horizontal and vertical translations...are there any things you know of that I could use to remember?

Answer 14

can you be more specific?

Answer 15

this problem dealt with horizontal and vertical translations just now, so that's one example

Answer 16

True, when I said remember I meant like help me to find the key difference between the two so I wouldn't get confused & mess them up.

Answer 17

well anything you do to the x coordinate moves it left/right

Answer 18

so going from x to x-3 moves any point 3 units to the left

Answer 19

similarly, going from y to y+9 moves it up 9 units

Answer 20

it would probably be better to do another example

Answer 21

Okay here's one...Point P at (-4, 3_ is translated to form its image, Point P', at (6, 1). Write a function to represent the translation. If point R(-5, -6) and point S(1,2) are also translated using that rule, what will be the coordinate of their images?

Answer 22

going from -4 to 6, what's going on here?

Answer 23

you mean the type of translation?

Answer 24

well what are you adding to -4 to get to 6

Answer 25

10

Answer 26

so we go from x to x+10

Answer 27

3 + what = 1

Answer 28

now we're focusing on the y transition

Answer 29

-2

Answer 30

so y ---> y-2

Answer 31

the rule is then T(x,y) = (x+10, y-2)

Answer 32

I get it !

Answer 33

yay lol

Answer 34

lolol , hmm so with translations when you apply the function to a point, the output will be the coordinates of the translated image of that point.

Answer 35

exactly

Answer 36

if you apply a translation to any 2D figure, you just apply it to each point that makes up the 2D figure

Answer 37

so what if I already have a translation that's already been graphed ,

Answer 38

would they ever ask for me to find the function? like how did this point get to this point , what was added? isn't that basically the same thing..

Answer 39

sounds like you're doing it visually at this point

Answer 40

so identify where you started and where you end up

Answer 41

then take notes if you moved left or right and by how much

also take notes how much you move up or down and by how much

Answer 42

okay , gotcha.

Answer 43

so here's something I see , its a example problem and it says starting at point w, count 4 units to the left and 2 units up .. would the function be (x-4, y+2) ?

Answer 44

you nailed it

Answer 45

actually T(x-4, y+2), but you got the idea

Answer 46

Yes!

Answer 47

Yeah, I just gotta write it in the correct way.

Answer 48

one second..

Answer 49

ok

Answer 50

I think I'm pretty good on these translations.. I know what to look for..hmm , can we move on to mean , median , mode & range ?

Answer 51

hello , lol

Answer 52

sure go for it

Answer 53

So today in my review class my teacher started going over this complicated way ( in my opinion) on how to find the median in a data set. &- it made me so mad because she wanted to teach it right before the test... it was like something about adding the numbers on each end and then coming up with middle number.. have you ever done anything like that?

Answer 54

hmm I don't think so

Answer 55

see , me either ! So the way I usually do it is put the numbers in order from L to G and then use my fingers to come in and find the middle number and that would be my median.

Answer 56

or you can do this

Answer 57

let's say you have this list of numbers