Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write a translation rule that maps point D(7, −3)
onto point D'(2, 5).
I just need someone to explain this to me and then give me an answer or an example please.
(x,y) -> (x-5,y+8)
what do you have to do to start at 7 and end at 2?
to start at -3 and end at 5?
7 and 2 subtract???
-3 and 5 Add???
what does -> mean?
(x,y)->(x-7,y+-3)
Would it be like this?
To solve this problem, we need to find a translation rule that maps point D(7, -3) onto point D'(2, 5).
A translation is a type of transformation that moves an object from one location to another without changing its size or shape. In a translation, every point of the original object is moved in the same direction and by the same distance.
To find the translation rule, we can calculate the difference between the x-coordinates and y-coordinates of the two points. The translation rule has the form (x, y) -> (x + a, y + b), where (a, b) is the difference between the two points.
In this case, the x-coordinate difference is 2 - 7 = -5, and the y-coordinate difference is 5 - (-3) = 8. Therefore, the translation rule is (x, y) -> (x - 5, y + 8).
So, to map point D(7, -3) onto point D'(2, 5), we can use the translation rule to find the corresponding coordinates. Applying the rule, we have:
D(7, -3) -> D'(7 - 5, -3 + 8) = D'(2, 5)
Therefore, the translation rule that maps point D(7, -3) onto point D'(2, 5) is (x, y) -> (x - 5, y + 8).