Question

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

r = 5 cos 3θ

Answer 1

graph it first

Answer 2

if you can cut it across and fold it together and they are the same then it has symmetry about the x axis
if you can cut it up and down and fold it together and they are the same then it has symmetry about the y axis
hard to see the symmetry with respect to the origin, but usually it has to do with points
for all (x,y) you have (-x,-y)

Answer 3

so from me graphing it.. i believe its symmetry about the x-axis? right

Answer 4

what is this a polar? Is it a rose with 3 petals?

Answer 5

yes.. it was two petals to the right and one on the right

Answer 6

does it look like this? I am guessing by the way

Answer 7

yes

Answer 8

then you are correct, sorry my picture is not precise and I am too lazy to go get my graphing calculator.....just doing it off the top of my head