Question

consider the figure and its image.
describe the transformation. use decimals, if necessary.
reflection in the line ( x = 0 )

Explanation:

Step1: Recall reflection concept

A reflection over the line \(x = 0\) (the \(y -\)axis) changes the \(x -\)coordinate of a point \((x,y)\) to \((-x,y)\).

Step2: Analyze the figure

Looking at the original figure and its image, for each point in the original figure, its image has the \(x -\)coordinate as the negative of the original \(x -\)coordinate and the \(y -\)coordinate remains the same. For example, if a point \(P(x,y)\) in the original figure, its image \(P'(-x,y)\) in the transformed figure.

Answer:

The transformation is a reflection in the line \(x = 0\) (the \(y -\)axis).