Question

determine the translation. use non - negative numbers. a translation by units to the right/left and units up/down

Explanation:

Step1: Observe x - coordinates

Let's assume a point \(A(x_1,y_1)\) in the original figure and \(A'(x_2,y_2)\) in the translated figure. For example, if we take a point \(A(1, - 4)\) and \(A'(-5,1)\). The change in the x - coordinate \(\Delta x=x_2 - x_1=-5 - 1=-6\). Since we need non - negative numbers, the number of units moved in the x - direction is \(| - 6| = 6\) units to the left.

Step2: Observe y - coordinates

The change in the y - coordinate \(\Delta y=y_2 - y_1=1-( - 4)=5\) units up.

Answer:

A translation by 6 units to the left and 5 units up.