What happens when n = 1?

When n = 1, the graph does not resemble a flower, but it still is an "n leaf rose" except that since n =1, there is only 1 petal. The graph of this special case is called a cartioid.

The variables a and b will have the same impact on the graph that they do in the ordinary "n leaf rose."

For example, in this graph we can see that a larger value of b produses a second set of petals, and that the larger the value of b, the larger the petals are.

And in this graph, we can see the effects of a on the graph. A larger value of a results in a larger outer petal and a smaller inner petal than a smaller value of a does.

It is interesting to see that by keeping b = 1, n=1, that larger values of a will round out the graph of the cartioid.

Even larger values of a result in graphs that approach a circle.

Notice, here, when a = 100, that the graph is ALMOST a circle with a radius of 100.

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