Question

The image point of A after a translation left 2 units and down 4 units is the point

4
B(2, -9). Determine the coordinates of the pre-image point A.

Answer 1

The coordinates of the pre-image point A after translation left 2 units and down 4 units are (4, -5).

Step-by-step explanation:

Let's denote the pre-image point A as (x, y). According to the given information, A translates 2 units to the left and 4 units down to become B(2, -9). So, the translation along the x-axis changes the x-coordinate of A from x to x - 2, and the translation along the y-axis changes the y-coordinate of A from y to y - 4.

Therefore, we have the equations:

• x - 2 = 2
• y - 4 = -9

Solving these equations gives us:

• x = 2 + 2 = 4
• y = -9 + 4 = -5

Therefore, the coordinates of the pre-image point A are (4, -5).