For my first "rose" graph I used the equation r=a*sin(b*theta). I plugged in 3 for a and -4.2 for b. To make the graph bigger change the a value and to change the pattern of the rose change the b value.
After playing with desmos I created a more interesting "rose". First I used the equation a+c*sin(b*theta) and plugged 0.3 for a, c=2, b=-2.3. For the center of the "rose" I used the equation r=a*sin(b*theta) where a=0.8