Question

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. (1 point)

r = 4 - 4 cos θ

No symmetry
x-axis only
y-axis only
Origin only

Answer 1

characterized by or exhibiting symmetry; well-proportioned, as a body or whole; regular in form or arrangement of corresponding parts. noting two points in a plane such that the line segment joining the points is bisected by an axis: Points(1, 1) and(1, −1) are symmetrical with respect to the x-axis.

Answer 2

thank you both of you ! @rational @leon549

Answer 3

could you help me one more?? @rational

Answer 4

you figured out this problem ?

Answer 5

yes

Answer 6

whats ur answer

Answer 7

@rational x-axis right??

Answer 8

Yup!

Answer 9

The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph. (1 point)


[-5, 5] by [-5, 5]

r = 2 + 3 cos θ
r = 3 + 2 cos θ
r = 2 + 2 cos θ
r = 4 + cos θ

Answer 10

https://lss.brainhoney.com/Resource/22122506,444,5,0/Assets/46147_50f973e5/0807a_g1_q17.gif

Answer 11

look at second option
r = 3 + 2 cos θ

when \(\theta=\pi\), we have \(r=3+2(-1) = 1\) as desired
so im inclining toward this option

Answer 12

so the answer is r = 3 + 2 cos θ
???

Answer 13

@rational

Answer 14

I think so

Answer 15

thank you @rational

Answer 16

yw

Answer 17

\[r = 4 - 4 \cos \theta\]\[r^2 = 4r - 4r\cos \theta\]\[\Longleftrightarrow x^2 + y^2 = 4 \sqrt{x^2 + y^2 } - 4x\]If you replace \(y\) with \(-y\), you get the same equation. The same isn't true for \(x\). Thus, it is symmetric about the x-axis.