Question

HELP PLEASE. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = -5 - 5 cos θ
Origin only
x-axis only
y-axis only
No symmetry

Answer 1

@dan815 @phi @Hero @Miss.SweetiePie

Answer 2

@paki

Answer 3

have you graphed the curve..?

Answer 4

yes @campbell_st

Answer 5

is it polar coordinates..?

Answer 6

idk

Answer 7

I got x-axis only

Answer 8

well can you post your graph...?

Answer 9

after replacing θ with -θ ...

r = -5 - 5 cos(-θ)

which means that both are even function so that cos(-θ) = cos(θ)

r = -5 - 5 cos θ

Answer 10

@Miss.SweetiePie thank u so much!!!

Answer 11

lol...

Answer 12

Your welcome @em2000 are you a fan yet?

Answer 13

we can rewrite thhat equation, using the cartesian coordinates, namely:
\[\Large r = - 5 - 5\frac{x}{r}\]
from which we get:
\[\Large {x^2} + {y^2} + 5\sqrt {{x^2} + {y^2}} + 5x = 0\]
Now it is easy to understand if there is a symmetry for that equation