Question

symmetry:
□x - axis
□y - axis
□origin
□none of these

Explanation:

Step1: Recall symmetry definitions

If a graph is symmetric about the x - axis, for every point (x,y) on the graph, the point (x, - y) is also on the graph. If it is symmetric about the y - axis, for every point (x,y) on the graph, the point (-x,y) is on the graph. If it is symmetric about the origin, for every point (x,y) on the graph, the point (-x,-y) is on the graph.

Step2: Examine the given graph

For the given graph, if we take a point (x,y) on the graph, the point (-x,y) is also on the graph. For example, if we consider a point on the right - hand side of the y - axis, there is a corresponding point on the left - hand side of the y - axis at the same y - value.

Answer:

y - axis