Is there a way to flip the polar graph r=-theta^13 over the y axis when graphed on a cartesian plane?

Answer 1

r = Φ¹³ will be a spiral when graphed on a polar axis.

It is flipped left to right over the vertical axis when you add a negative sign in front.

r = - Φ¹³

You can graph these two on Desmos.com using the Polar Limacon graph option.

I could not paste a screenshot of my graph here due to Wyzant's character limit on this answer.

However, your question asks about graphing on the Cartesian plane.

Technically, the polar axes that I used here are not called the Cartesian plane.

If you need to have it on the Cartesian plane, that will complicate things a bit.

Check to be sure that the question requires the Cartesian plane.