Question

Translation maps point (2,6) to point (4.-1). What is the image of point (-1,3) under translation T?

Answer 1

To find the image of a point under a translation, you need to find the coordinates of the image point by adding the same values to each coordinate of the original point.

Step-by-step explanation:

In a translation, each point of the original figure is moved the same distance and in the same direction. To find the image of a point under a translation, you need to find the coordinates of the image point by adding the same values to each coordinate of the original point.

Given that the translation maps (2,6) to (4,-1), we can find the translation vector by subtracting the coordinates of the original point from the coordinates of the image point which is (4-2, -1-6) = (2, -7).

To find the image of point (-1,3) under translation T, you add the translation vector to the coordinates of the given point: (-1+2, 3-7) = (1,-4).