Question

consider the figure and its image
describe the transformation. use decimals, if necessary
$(x,y)\to(\square\square)$

Explanation:

Step1: Analyze the horizontal movement

Let's take a point, say \(S(2,4)\) and its image \(S'(-4, - 2)\). The horizontal change: \(x\) - coordinate of \(S\) is \(2\), \(x\) - coordinate of \(S'\) is \(-4\). The change in \(x\) is \(-4-2=-6\).

Step2: Analyze the vertical movement

The vertical change: \(y\) - coordinate of \(S\) is \(4\), \(y\) - coordinate of \(S'\) is \(-2\). The change in \(y\) is \(-2 - 4=-6\).

Answer:

\((x,y)\to(x - 6,y - 6)\)