Question

Which rule describes a translation that is 3 units to the right and 5 units down?

Answer 1

For this translation, you need to replace every occurrence of "x" with "x-3", and every occurrence of "y" with "y+5".

Answer 2

`(x,y)\rightarrow (x+3,y-5)`

Explanation:

In translation by a unit left,

The rule is,

`(x,y)\rightarrow (x-a,y)`

By a unit Right, rule is,

`(x,y)\rightarrow (x+a,y)`

By a unit up rule is,

`(x,y)\rightarrow (x,y+a)`

By a unit down, rule is,

`(x,y)\rightarrow (x,y-a)`

Hence, the rule describes a translation that is 3 units to the right and 5 units down is,

`(x,y)\rightarrow (x+3,y-5)`