Question

need help !!

Answer 1

Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. (5 points)

r = 2 + 3 sin θ

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

Answer 2

To check x-axis symmetry,
replace r by -r
and \(\theta\) by \(\pi-\theta\)

To check y-axis symmetry,
replace r by -r
and \(\theta\) by \(-\theta\)

To check origin symmetry,
replace \(\theta\) by \(\pi+\theta\)

Answer 3

so is it y-axis only??

Answer 4

yes, it indeed has a y-axis symmetry! :)

Answer 5

To check y-axis symmetry,
replace r by r
and \(\theta\) by \(\pi-\theta\)

r = 2+3 sin (pi-theta) = 2+3 sin theta

Answer 6

thank you !
do you think you vould help me two more questions?

Answer 7

sure :)

Answer 8

The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph. (5 points)


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

r = 2 + 2 sin θ
r = 3 + 2 sin θ
r = 1 + 3 sin θ
r = 3 + sin θ

Answer 9

https://lss.brainhoney.com/Resource/24831188,0/Assets/46149_50f97439/0808_g17_q3.gif

Answer 10

@hartnn