# Funky jelly fish

### by Janine Pham and Christine Puno Per. 1

The name of this graph is the Funky Jellyfish, and through out the graph we made several changes. For the rough draft, it only had six petals for the rose graph and the lemniscates went up to the fourth line. For the second part the petals changed to an amount of eight and the lemniscates stayed the same. The changes were made because the amount of roses and the distance was difficult to create an equation with. The distance of each petal was not realistic in the first draft of the graph.The rose of the graph depicts the legs of the jellyfish. The circle represents the head of the jellyfish.

A) We experimented mathematically when we used r=7cos4theta to create the "tentacles" for the funky jellyfish. The circle equation which is r=6sintheta is used as the head of the jellyfish and the r^2=4costheta is sort of the body of the jellyfish. At first, the rough draft was 6 petals, but it had to be adjusted because the petals that were placed on the graph were not mathematically correct and it had to fixed in order for the distance to be mathematically correct on the polar graph.

B) While completing this assignment we learned how to graph the rose, lemniscate and circle graphs. We learned that for the rose graph, the petals have to be an equal distance from each other and it can not be placed randomly anywhere. We are familiarized with these graphs and it helped us improve our knowledge on how to graph the sort of graphs.

C) During the process of this project, we enjoyed creating the design of this graph. This project helped us further our knowledge of graphing polar equations. We enjoyed inputting the design and equations into desmos, which allowed us to see the final product.