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question 3 4-1 homework describe the transformation. use decimals, if n…

Question

question 3 4-1 homework describe the transformation. use decimals, if necessary. (x, y) →

Explanation:

Step1: Observe x - coordinate change

Let's take a point, say \(B(0,2)\) and its image \(B'(2,0)\). The x - coordinate of \(B\) is \(0\) and of \(B'\) is \(2\). The x - coordinate of a general point \((x,y)\) changes as \(x\to x + 2\).

Step2: Observe y - coordinate change

The y - coordinate of \(B\) is \(2\) and of \(B'\) is \(0\). The y - coordinate of a general point \((x,y)\) changes as \(y\to y- 2\).

Answer:

\((x + 2,y - 2)\)