Question

point a (7, 3) is translated to a(16, -9). which rule describes the translation? (x, y)→(x - 9, y - 12) (x, y)→(x - 9, y + 12) (x, y)→(x + 9, y + 12) (x, y)→(x + 9, y - 12)

Explanation:

Step1: Calculate the change in x - coordinate

The x - coordinate of point A is \(x = 7\), and the x - coordinate of point \(A'\) is \(x'=16\).
The change in x - coordinate \(\Delta x=x' - x=16 - 7 = 9\).

Step2: Calculate the change in y - coordinate

The y - coordinate of point A is \(y = 3\), and the y - coordinate of point \(A'\) is \(y'=-9\).
The change in y - coordinate \(\Delta y=y' - y=-9 - 3=-12\).

Answer:

\((x,y)\to(x + 9,y-12)\) (the fourth option)