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point a(2,3) is the image of a(3, - 4) under a translation. determine t…

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: Analyze x - coordinate change

The x - coordinate of point A is 3 and of point A' is 2. The change in x - coordinate is \(3 - 2=1\). A decrease in x - coordinate means a translation to the left.

Step2: Analyze y - coordinate change

The y - coordinate of point A is - 4 and of point A' is 3. The change in y - coordinate is \(3-(-4)=3 + 4 = 7\). An increase in y - coordinate means a translation up.

Answer:

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