Given:
Consider the rule of translation of a triangle is
.
To find:
The another way to write this rule.
Solution:
We have, the rule of translation
.
We know that
is defined as
![(x,y)\to (x+a,y+b)](https://img.qammunity.org/2022/formulas/mathematics/high-school/1mxztq2dfwl14fbvl1pq7mp4ffecda8r4k.png)
So,
can be defined as
![(x,y)\to (x+(-3),y+(5))](https://img.qammunity.org/2022/formulas/mathematics/high-school/y5i9546j0so7iaczb9ke0mlkuq3fpaucdf.png)
![(x,y)\to (x-3,y+5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/8guwj0mekiviw0yc1o80668psakmlmve30.png)
It means, the triangle is translated 3 units left and 5 units up.
Therefore, the correct option is A.