*a*' to see the difference of graphs and for the forming of the curve. Then, choose another equation to display its graph and compare. What can you say about these two graphs?

Betty, Created with GeoGebra

The equations and form the shape of lemniscate. If you take a look at the graph (in default setting) below, you might find out that there is no graph formed for till , and from to . Can you explain why? You may drag the value of '*a*' to see the difference of graphs and for the forming of the curve. Then, choose another equation to display its graph and compare. What can you say about these two graphs?

Betty, Created with GeoGebra

Betty, Created with GeoGebra

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