Question

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.

r = -5 - 5 cos θ

Answer 1

The graph is symmetric about the x-axis.

Answer 2

Yeah, @John_ES is correct. It is symmetric with respect to x-axis. :)

Answer 3

May you explain how, if you do not mind.

Answer 4

the graph is a cardioid since it has in a form of r = a (1+cosx)
this happens when we factor out -5 in the equation, therefore r = -5 (1+cosx)
using the quadrantal angles to substitute the values for r, we get
if x is equal to
0 r = 0
pi/2 r = -5
3pi/2 r = -5
2pi r = 0
as we plot it, we can conclude that it is symmetric with respect to x-axis.
Do you get it @Loveiskey18 ??

Answer 5

somewhat. I'll have to go over it when I'm not rushing. Do you mind if I post that last problem I needed help with, it's quite similar to the previous one.

Answer 6

Okay. :)