Question

rectangle abcd has vertices a(-6, -2), b(-3, -2), c(-3, -6), and d(-6, -6). the rectangle is translated so that the coordinates of the image are a(-10, 1), b(-7,1), c(-7, -3), and d(-10, -3). which rule was used to translate the image? t_{-4,3}(x,y) t_{-4,1}(x,y) t_{4, -1}(x,y) t_{4, -3}(x,y)

Explanation:

Step1: Analyze x - coordinate change

For point A, \(x\) - coordinate changes from \(-6\) to \(-10\). The change is \(\Delta x=-10 - (-6)=-4\).

Step2: Analyze y - coordinate change

For point A, \(y\) - coordinate changes from \(-2\) to \(1\). The change is \(\Delta y=1-(-2) = 3\).

Answer:

A. \(T_{-4,3}(x,y)\)