Question

write a rule to describe each transformation.
7)

Explanation:

Step1: Find coordinates of a point

Take point \(F(2,2)\) and its image \(F'(4, - 2)\).

Step2: Analyze the change in \(x\) and \(y\) - coordinates

For \(x\) - coordinate: \(2\to4\), which is \(x\to x + 2\). For \(y\) - coordinate: \(2\to-2\), which is \(y\to y-4\).
Let's check another point. Take \(K(-2,4)\) and its image \(K(-2,0)\). For \(x\) - coordinate: \(- 2\to-2\) (\(x=x\)), for \(y\) - coordinate: \(4\to0\) (\(y=y - 4\)). But wait, for \(V(-6,2)\) and \(V'(-6,-2)\), \(x\) is same (\(x=x\)) and \(y=y - 4\). For \(J(-5,3)\) and \(J'(-5,-1)\), \(x\) is same (\(x=x\)) and \(y=y - 4\).

Answer:

The transformation rule is \((x,y)\to(x,y - 4)\)