Question

translation with the same effect as (x+7, y-2) followed by (x-3, y+2)

Answer 1

+7 - 3 = +4

-2 + 2 = 0

Answer 2

okay thank you. How would I do that myself though? Like what would I do to get that answer.

Answer 3

@cwrw238

Answer 4

is it just x-x over y-y

Answer 5

start with x, add 7, subtract 3

start with y, subtract 2, add 2

Answer 6

it tells you exactly what to do in the transformations

Answer 7

(x+7, y-2) followed by (x-3, y+2)
What does the transformation (x+7, y-2) mean?
It says add 7 to the x-coordinate and subtract 2 from the y-coordinate.
If, for example, we start with the point (2,3) and apply the transformation (x+7, y-2) the point would be transformed to become (9,1).
The second transformation, (x-3, y+2), says subtract 3 from the x-coordinate and add 2 to the y-coordinate. If this transformation is applied to (9, 1) it will become (6, 3).

Now if we combine both transformations: (x+7, y-2) followed by (x-3, y+2) then add 7 to the x-coordinate and subtract 2 from the y-coordinate and then subtract 3 from the x-coordinate and add to the y-coordinate.
So to the x-coordinate we add 7 and subtract 3. In effect we add +7 - 3 = +4.
To the y-coordinate we subtract 2 and add 2. Effectively it is: -2 + 2 = 0.
Therefore, the combined transformations is: (x+4, y).

If we apply the transformation (x+4, y) to the earlier example of (2,3) it becomes (6,3) which is what we got earlier by applying the two transformations one step at a time.

Answer 8

@aum Thank you so much for explaining it

Answer 9

@amistre64 thank you

Answer 10

youre welcome :) aums explanation is more indepth of course ;)

Answer 11

@amistre64 they both helped a lot though. :)

Answer 12

You are welcome. It is nice that you wanted to learn than just getting the answer.

Answer 13

@aum Yeah, I would rather be able to learn then just have someone give me the answer. I want to be able to do it myself and get it correct when I have a to take test on it instead of having to get it wrong. lol