for each graph, select all symmetries that apply.\ngraph 1\nsymmetry:\n□x - axis\n□y - axis\n□origin\n□none…

for each graph, select all symmetries that apply.\ngraph 1\nsymmetry:\n□x - axis\n□y - axis\n□origin\n□none of these\ngraph 2\nsymmetry:\n□x - axis\n□y - axis\n□origin\n□none of these\ngraph 3\nsymmetry:\n□x - axis\n□y - axis\n□origin\n□none of these

for each graph, select all symmetries that apply.\ngraph 1\nsymmetry:\n□x - axis\n□y - axis\n□origin\n□none of these\ngraph 2\nsymmetry:\n□x - axis\n□y - axis\n□origin\n□none of these\ngraph 3\nsymmetry:\n□x - axis\n□y - axis\n□origin\n□none of these

Answer

Explanation:

Graph 1

Step1: Check symmetry about x - axis

If we reflect the graph over the x - axis, the graph remains the same.

Step2: Check symmetry about y - axis

If we reflect the graph over the y - axis, the graph remains the same.

Step3: Check symmetry about origin

If we rotate the graph (180^{\circ}) about the origin, the graph remains the same.

Graph 2

Step1: Check symmetry about origin

If we rotate the graph (180^{\circ}) about the origin, the graph remains the same.

Graph 3

Step1: Check symmetry about y - axis

If we reflect the graph over the y - axis, the graph remains the same.

Answer:

  • Graph 1: (x - axis), (y - axis), (origin)
  • Graph 2: (origin)
  • Graph 3: (y - axis)