Question

write the rule for the translation given the coordinates of the pre-mimage and the image. write the rule in both mapping and transformation notation

Answer 1

We have the "before" and "after" points and we have to find the transformation.

In the x-axis it seems that the transformation is a translation of -6 units.

In the y-axis it will also be a translation, and in this case, it is of +3 units.

Then the transformation is a translation of (-6,3).

Mapping notation:

$(x,y)\longrightarrow(x-6,y+3)$

Transformation notation: T[-6,3](x,y)

Each point (x,y) will be translated 6 units to the left and 3 units to the top.

For example, P=(1,-1) will be translated 6 units to the left, so the coordinate in x of the translated P is x=1-6=-5, and 3 units to the top, so the y-coordinate of the translated P is y=-1+3=2.