Question

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

r = -3 - 2 cos θ

Answer 1

@mathstudent55 @monsterfox1997 @loser66
@TheSmartOne @MD175

Answer 2

@Rainbow_dashie

Answer 3

@Michele_Laino @luckycoins888

Answer 4

?

Answer 5

Please try to use cartesian coordinates

Answer 6

yes

Answer 7

hint:
use this transformation equations:
\[\cos \theta =\frac{ x }{ r },\quad r ^{2}=x ^{2}+y ^{2}\]

Answer 8

ok.....
@Michele_Laino

Answer 9

i tried and got stuck

Answer 10

Please, note that with the trasformation above I re-write your equation, as below:
\[r=-3-2\frac{ x }{ r }\]
so:
\[r ^{2}=-3r-2x\]
then:
\[x ^{2}+y ^{2}=-3\sqrt{x ^{2}+y ^{2}}-2x\]