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graph 2 symmetry: □x - axis □y - axis □origin □none of these

Question

graph 2
symmetry:
□x - axis
□y - axis
□origin
□none of these

Explanation:

Step1: Recall symmetry definitions

A graph is symmetric about the x - axis if for every point \((x,y)\) on the graph, the point \((x, - y)\) is also on the graph. A graph is symmetric about the y - axis if for every point \((x,y)\) on the graph, the point \((-x,y)\) is also on the graph. A graph is symmetric about the origin if for every point \((x,y)\) on the graph, the point \((-x,-y)\) is also on the graph.

Step2: Analyze the given graph

Looking at the graph, if we take a point \((x,y)\) on the graph, the point \((x,-y)\) is not on the graph, so it is not symmetric about the x - axis. If we take a point \((x,y)\) on the graph, the point \((-x,y)\) is not on the graph, so it is not symmetric about the y - axis. If we take a point \((x,y)\) on the graph, the point \((-x,-y)\) is not on the graph, so it is not symmetric about the origin.

Answer:

none of these