Questions: For each of the following graphs determine whether the graph is symmetric with respect to the X-axis, the Y-axis, the origin, or none of these. More than one answer may be correct

Solution Steps

If a graph is symmetric with respect to the x-axis, then if the point (x, y) is on the graph, the point (x, -y) is also on the graph. This graph does not have x-axis symmetry.

If a graph is symmetric with respect to the y-axis, then if the point (x, y) is on the graph, the point (-x, y) is also on the graph. This graph does not have y-axis symmetry.

If a graph is symmetric with respect to the origin, then if the point (x, y) is on the graph, the point (-x, -y) is also on the graph. This graph has origin symmetry.

Final Answer: The correct answer is: Symmetric with respect to the origin.