Question

question: the image point of a after a translation right 1 unit and down 3 units is the point b(5, - 3). determine the coordinates of the pre - image point a.

Explanation:

Step1: Reverse horizontal translation

To reverse a right - 1 unit translation, subtract 1 from the x - coordinate of the image point. Given the x - coordinate of point B is 5, so $5 - 1=4$.

Step2: Reverse vertical translation

To reverse a down - 3 unit translation, add 3 to the y - coordinate of the image point. Given the y - coordinate of point B is - 3, so $-3 + 3=0$.

Answer:

$(4,0)$