Question

determine visually whether the graph is symmetric with respect to the x - axis, the y - axis, or the origin. is the graph symmetric with respect to the x - axis? yes no

Explanation:

Step1: Recall symmetry definitions

For x - axis symmetry, if (x,y) is on the graph, then (x, - y) is on the graph. For y - axis symmetry, if (x,y) is on the graph, then (-x,y) is on the graph. For origin symmetry, if (x,y) is on the graph, then (-x,-y) is on the graph.

Step2: Examine the graph

Visually, if we reflect the given V - shaped graph over the y - axis, the left - hand side of the V will map onto the right - hand side and vice - versa. But if we try to reflect it over the x - axis or the origin, it will not map onto itself.

Answer:

No