Question

which is the correct algebraic representation of the transformation below?
clear my selection

Explanation:

Step1: Find coordinates of original and transformed points

Let's take point \(G(1,2)\) and its transformed point \(G'(- 1,2)\).
For point \(D(2,6)\) and its transformed point \(D'(-2,6)\).

Step2: Analyze the transformation rule

If we have a point \((x,y)\) and its image \((-x,y)\).
For \(G(1,2)\): \(x = 1,y=2\), and \(-x=-1,y = 2\) (matches \(G'(-1,2)\)).
For \(D(2,6)\): \(x = 2,y = 6\), and \(-x=-2,y=6\) (matches \(D'(-2,6)\)).

Answer:

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