Question

△abc is the image of △abc under a translation. determine the translation. use non - negative numbers. a translation by units to the and units

Explanation:

Step1: Find the horizontal translation

Take a point, say \(A(1, - 4)\) and \(A'(-5,1)\).
The change in \(x\) - coordinate: \(\Delta x=-5 - 1=-6\). Since \(-6\) means \(6\) units to the left.

Step2: Find the vertical translation

The change in \(y\) - coordinate: \(\Delta y = 1-(-4)=5\). Since \(5>0\), it means \(5\) units up.

Answer:

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