Question

which graph shows line symmetry about the y - axis?

Explanation:

Step1: Recall y - axis symmetry rule

A graph has y - axis symmetry if for every point $(x,y)$ on the graph, the point $(-x,y)$ is also on the graph. Visually, the left - hand side of the y - axis is a mirror image of the right - hand side.

Step2: Examine each graph

Check each of the four given graphs to see if they meet the y - axis symmetry criteria. In the second graph, if we take a point on the right - hand side of the y - axis and reflect it across the y - axis, we can find a corresponding point on the left - hand side with the same y - value. The other graphs do not have this property.

Answer:

The second graph (from the left) shows line symmetry about the y - axis.