Question

What is the reflection image of P(0, 0) after two reflections, first across x = 4 and then across y = -3?

https://dlap.gradpoint.com/Resz/~0.YJZ4B5XcvlgKwuFB.SNoLza7MzsPOJ2LU4NCm5lf3NSWrIepzEYv8pYPN1dU/11335527,A01,111,0,0,0,0/Assets/testitemimages/geometry_b/transformations/mc032-1.jpg

(8, -3)

(8, -6)

(8, 6)

(4, -3)

Answer 1

@jhonyy9

Answer 2

any idea ?

Answer 3

8,6 ?

Answer 4

first of all what is P(0,0) ?

Answer 5

what do you mean

Answer 6

what is this point with coordinates (0,0) ?

Answer 7

0

Answer 8

is the answer d

Answer 9

where is the (0,0) point ?

Answer 10

in the middle

Answer 11

is the cross point of axe x with y

yes ?

Answer 12

how name this point ?

Answer 13

idk

Answer 14

do you heard about origine ?

Answer 15

yeah

Answer 16

this is the central point of axe x and y

Answer 17

so and now what you make first ?

Answer 18

idk still

Answer 19

first reflect this point of origine across axe x where x = 4 so where will be than this point ?

Answer 20

-3,4

Answer 21

no

please first step by step

so across x=4 than where you get the origine ?

Answer 22

from point of origine till x=4 are 4 units - yes ?

Answer 23

yeah

Answer 24

ok so when you reflect the origine point across x=4 by 4 units where will get it ?

Answer 25

where do i start from

Answer 26

push the origine point on the right part of x=4 by 4 units so where will get it ?

Answer 27

ok

Answer 28

ok whats nexts

Answer 29

no whats next - tel me please where you get it on what point of x = ?

Answer 30

4

Answer 31

no

you start it from x=4 on the right part by 4 units so where will be than ?

Answer 32

so do i go up or down i dont know what to do

Answer 33

i ve said on the right bc. first you reflect it across x=4 so this mean on the right on axe x

Answer 34

ok go up or down

Answer 35

@Vocaloid please help me make understanding

thank you

Answer 36

everyt time i do 4 it goes to 4

Answer 37

how ?

number from x=4 so 4 units on the right part on axe x so wheer you arrive ?

Answer 38

i get 4

Answer 39

do u know the answer

Answer 40

start with 4 so 4 units : one unit is 5 ,second is 6 ,3-d is 7 and 4th is what ?

Answer 41

8

Answer 42

exactly - sorry but i dont wan give you the right answer without you understand it

Answer 43

ok lets keep going

Answer 44

8 is x now we have to find y

Answer 45

yes

Answer 46

now attention please - so you know that the origine point is in the x=8

and you need from there reflect it across y=-3

Answer 47

ok

Answer 48

so than where will get it in this way ?

Answer 49

6

Answer 50

looke in the diagramm there are axe ox and oy yes ?

and now you ve get that the origine point is in the x=8

and from there you need reflect it across y=-3

so where will get it ?

Answer 51

umm

Answer 52

-3

Answer 53

8,-3

Answer 54

i have another one im going post it

Answer 55

looke please from this x=8 you need reflect it the origine across y=-3

not is right wait i give you explication

Answer 56

ok

Answer 57

so its not 8,-3

Answer 58

from 8 on down till -3 how many units you see there ?

Answer 59

12

Answer 60

no

now you need numbering on axe y bc. you reflect it down

Answer 61

im lost

Answer 62

why ? is exactly same like across x=4 just now you reflect it across y=-3

Answer 63

hold up

Answer 64

Hi, let me try to explain it to you in a different way.

Do you know what exactly reflection means?

Here's a graph of the point (0,0) and the line x=4

Answer 65

@Tranquility thank you all your help - i go bc. here in central europe is in the night at 1,09 oclock

hope you will can explain her

bye bye

Answer 66

Good night jhonny, thank you for your help

Answer 67

allways is my pleasure

bye bye

Answer 68

ok im back

Answer 69

Do you see this? This is basically what we're doing

Answer 70

So when we first reflect across the line x = 4

we are at (0,0)

we're only looking at the x-coordinate

(x-coordinate, y-coordinate)

we see how for away the x-coordinate of the point is from the line and we move it the same distance to the other side of the line. That is called reflecting across a line.

When we reflect across the y=-3 line, we will be moving up or down because it's a horizontal line. So we see how far the y-coordinate of the point is from the line and we move the point that same distance on the other side of the line.

Does that make sense?

Answer 71

@lovetearia

Answer 72

idk