The translation of the mapping onto is .
Further explanation:
A transformation is onto if any element of gives some element in as the pre image of the translation in .
Given:
The given translation maps onto .
Calculation:
The mapping onto is the backward translation of the mapping onto .
In the given translation the coordinates of the -axis move by units in the right direction and the coordinates of the -axis move by units in the downward direction.
So, for the mapping onto we have to move back to the original position.
The following steps are involved to reverse the mapping.
1) As earlier discussed the all -coordinate move by units in the right direction so the opposite of this is move all -coordinate by units in the left direction. Therefore, the translation for the -axis would be .
2) As earlier the all -coordinate move by units in the downward direction so the opposite of this is move all -coordinate by units in the upward direction. Therefore, the translation for the -axis would be .
Thus, the translation of the mapping onto is .
Learn more:
1. A problem on inverse function brainly.com/question/1632445
2. A problem on domain and the range of the function brainly.com/question/3412497
3. A problem on range of the function brainly.com/question/1435353
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Function
Keywords: Onto mapping, one-one mapping, function, translation, x coordinate, y coordinate, coordinate, element, range , preimage, range, codomain, element, left direction, right direction, downward direction.