Plz check my answer and with the second part. will mark brainiest

triangle abc is translated 1 unit right and 2 units down what are the coordinates of the translated triangle?
my a(1,1) b(5,3) c(4,1)

this part i need with:

use arrow notation to write a rule for this translation (my answer to the last part)

Translation refers to a rigid motion or transformation where you move an object from one location to another. 
Translations are defined by the rule (x,y) -- (x+a, y+b) where the words right and left represent a change in the x-axis, and the words up and down a change in the y-axis.

In this exercise are given the coordinates of the vertices of the triangle ABC, which are (1,3), (4,5), and (3,1) respectively. It is asked to find the coordinates of the new triangle, A'B'C', after a translation produced by the rule (x,y)-- (x+1,y-2).

Pre-image                       Image
A(1,3)  (1+1,3-2)   A'(2,1)
B(4,5) (4+1,5-2)   B'(5,3)
C(3,1) (3+1,1-2)   C'(4,-1)

The coordinates of the triangle after the translation are A'(2,1), B'(5,3), and C'(4,-1)