Question

which graph shows rotational symmetry?

Explanation:

Step1: Recall rotational - symmetry definition

A graph has rotational symmetry if it looks the same after a rotation of less than 360° about the origin.

Step2: Analyze each graph

For the first graph (a straight - line graph \(y = -x\)), rotating it 180° about the origin makes it look the same. For the second graph (an exponential - like graph), no rotation less than 360° makes it look the same. For the third graph (a wave - like graph), no rotation less than 360° makes it look the same. For the fourth graph (a parabola), no rotation less than 360° makes it look the same.

Answer:

The first graph (the graph of \(y=-x\))