Question

point a(2,3) is the image of a(3, -4) under a translation. determine the translation. use non - negative numbers. a translation by units to the right/left and units up/down

Explanation:

Step1: Calculate horizontal translation

The x - coordinate of A is 3 and of A' is 2. The change in x - coordinate is \(3 - 2=1\). Since the x - coordinate decreases, it is a translation 1 unit to the left.

Step2: Calculate vertical translation

The y - coordinate of A is - 4 and of A' is 3. The change in y - coordinate is \(3-(-4)=3 + 4 = 7\). Since the y - coordinate increases, it is a translation 7 units up.

Answer:

A translation by 1 unit to the left and 7 units up.