## anonymous one year ago 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

1. anonymous

@dan815 @phi @Hero @Miss.SweetiePie

2. anonymous

@paki

3. campbell_st

have you graphed the curve..?

4. anonymous

yes @campbell_st

5. campbell_st

is it polar coordinates..?

6. anonymous

idk

7. anonymous

I got x-axis only

8. campbell_st

well can you post your graph...?

9. anonymous

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

10. anonymous

@Miss.SweetiePie thank u so much!!!

11. campbell_st

lol...

12. anonymous

Your welcome @em2000 are you a fan yet?

13. Michele_Laino

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