Question

(x, y)→(x + □, y + )
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Explanation:

Step1: Analyze x - coordinate change

Let's take a point, say point A. Assume A has coordinates \((x_1,y_1)\) and \(A'\) has coordinates \((x_2,y_2)\). If we look at the x - coordinates of corresponding points. For example, if we assume \(A\) is at \((- 1,-9)\) and \(A'\) is at \((7,-2)\). The change in the x - coordinate is \(x_2 - x_1=7-(-1)=8\).

Step2: Analyze y - coordinate change

Looking at the y - coordinates of the same points \(A\) and \(A'\), the change in the y - coordinate is \(y_2 - y_1=-2-(-9)=7\).

Answer:

\((x,y)\to(x + 8,y + 7)\)