Question

this graph has rotational symmetry about the point ( , ). this graph has rotational symmetry about the point ( , ).

Explanation:

Step1: Analyze the first graph

For the first graph (a curve), if we rotate it \(180^{\circ}\) about the origin \((0,0)\), the graph maps onto itself.

Step2: Analyze the second graph

For the second graph (an ellipse - like shape), if we rotate it \(180^{\circ}\) about the point \((2,2)\), the graph maps onto itself.

Answer:

\((0,0)\) ; \((2,2)\)