译成英语:在右边的是我的爸爸.在左边的是我的妈妈.

The one rightside is my dad,and the leftside is my mom.

On the right side of is my father.On the left side of is my mother.

In right side is my daddy In the left side is my mother

My mother is on my left ，and father is on my right .

似乎是一个初中学生的翻译题,估计要练学生倒装句的运用.
翻译这一类“在某处有/是/站着……”时,最先应该想到的是运用倒装句.因此你的句子翻译成：
On my right is my dad and on my left is my mum.
比较合适.(句中的my也可以改成the,视情况而定.）
当然,如不用倒装,用My father is on my left and my mother is on my right.也是可以的.

My father is on my left, while my mother is on my right.