Given:
Consider the rule of translation of a triangle is [tex]T_{(-3,5)}(x,y)[/tex].
To find:
The another way to write this rule.
Solution:
We have, the rule of translation [tex]T_{(-3,5)}(x,y)[/tex].
We know that [tex]T_{(a,b)}(x,y)[/tex] is defined as
[tex](x,y)\to (x+a,y+b)[/tex]
So, [tex]T_{(-3,5)}(x,y)[/tex] can be defined as
[tex](x,y)\to (x+(-3),y+(5))[/tex]
[tex](x,y)\to (x-3,y+5)[/tex]
It means, the triangle is translated 3 units left and 5 units up.
Therefore, the correct option is A.
