Question

the coordinates of △xyz and its image are shown. describe the transformation.
x(0, - 3)→x(0, 3)
y(-2, -4)→y(-2, 4)
z(-1, 2)→z(-1, -2)

Explanation:

Step1: Analyze coordinate - change pattern

For each point, the x - coordinate remains the same, and the sign of the y - coordinate changes.

Step2: Recall transformation rules

In a coordinate - plane, when the x - coordinate of a point $(x,y)$ remains the same and the y - coordinate changes its sign ($(x,y)\to(x, - y)$), it is a reflection over the x - axis.

Answer:

The transformation is a reflection over the x - axis.