Question

Which statement is true? A translation is a function because each point on the pre-image is mapped to a unique point on the image. A translation is a function because a translation vector is always horizontal. A translation is not a function because the image could overlap the pre-image. A translation is not a function because a point on the pre-image could be mapped to more than one point on the image.

Answer 1

the first one is true

Answer 2

A translation is a function because each point on the pre-image is mapped to a unique point on the image.

Explanation:

Translation moves the points on a preimage along a vector <a,b> (horizontal and then vertical component), so that the image is at the same distance and in the same direction as the pre-image.

As per the definition, option A is correct.