Investigate the graphs of
Let a=b and k be an integer.
For k=1 and k=-1, the graph is
For k=2 and k=-2, the graph is
For k=3 and k=-3, the graph is
For k=4 and k=-4, the graph is
For k=5 and k=-5, the graph is
For k=6 and k=-6, the graph is
The graph of
when a and b are equal and k is an integer is one version of the "n-leaf" rose.
Let a=b and k is not an integer.
For k=.5 and
,
the graph is
For k=0.5 and
,
the graph is
The graph of
when a and b are equal and k is not an integer, is a one-leaf rose with a loop in the center.
For a=1 and b=2 and k is an integer.
For k=1, the graph is
For k=2, the graph is
For k=3, the graph is
For k=4, the graph is
The graph of
when a=1 and b=2 and k is an integer is similar to the "n-leaf" rose with additional "n" mini-leaves added
For a=2 and b=1 and k is an integer.
For k=1, the graph is
For k=2, the graph is
For k=3, the graph is
For k=4, the graph is
For k=5, the graph is
The graph of
when a=2 and b=1 and k is an integer is another form of an "n-leaf" rose.
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