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Write a translation rule that maps point D(7, −3)
onto point D'(2, 5).
(x,y)->(x-7,y+-3)
How is this so far?
(x, y)-->(x-2,y+5) ????
Using the transformation T, you have D+T = D'
so, you want T = D'-D
2-7 = -5
5 - (-3) = 8
so, (x,y) -> (x-5,y+8)
Your translation rule is close, but there is a mistake in the second part of the rule. The correct translation rule should be:
(x, y) -> (x - 5, y + 8)
To get this translation rule, you need to find the difference between the x-coordinates and the y-coordinates of the two points (D and D'). In this case, the x-coordinate of D is 7 and the x-coordinate of D' is 2, so you subtract 2 from 7 to get -5. This means you need to subtract 5 from the x-coordinate in the translation rule.
Similarly, the y-coordinate of D is -3 and the y-coordinate of D' is 5, so you add 8 to -3 to get 5. This means you need to add 8 to the y-coordinate in the translation rule.
Therefore, the correct translation rule is (x, y) -> (x - 5, y + 8).
I hope this clarifies the problem for you. Let me know if you have any further questions!