Question

the image point of a after a translation right 4 units and down 4 units is the point b(12, -7). determine the coordinates of the pre-image point a.

Explanation:

Step1: Reverse the translation for the x - coordinate

Since the translation is right 4 units, to reverse it, we subtract 4 from the x - coordinate of point B.
Let the coordinates of point A be \((x,y)\). For the x - coordinate: \(x=12 - 4\)

Step2: Reverse the translation for the y - coordinate

Since the translation is down 4 units, to reverse it, we add 4 to the y - coordinate of point B.
For the y - coordinate: \(y=-7 + 4\)

Answer:

The coordinates of point A are \((8,-3)\)