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.

Answer 1

(8, –3)

Explanation:

Translation right or left means change of the x-coordinate.

Translation up or down means change of the y-coordinate.

Translation right or up means adding.

Translation left or down means subtracting.

`A=(x_A, y_A)\quad\rightarrow\quad B=(x_A+4,\,y_A-4)\\\\x_A+4=12\qquad\qquad y_A-4=-7\\\\x_A=12-4\qquad\qquad y_A=-7+4\\\\x_A=8\qquad\qquad\qquad y_A=-3\\\\A=(8,-3)`