Question

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

r = -3 + 3 sin θ

Answer 1

please help!!!!!

Answer 2

Look at the sin x function alone. What kind of symmetry does it have? If you get this right, the rest of the problem is easy.

Answer 3

y-axis?

Answer 4

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

r = 4 cos 3θ

is this one x-axis?

Answer 5

I'd much prefer not to give "yes"
or "no" answers. Can you graph y-sin x? If so, y ou'll see that this function is not symmetric with respect to the y-axis.

Answer 6

huh

Answer 7

I advise you to look up the sine function and from that illustration determine the type of symmetry it has.

Answer 8

okay thennn

Answer 9

Good luck! Believe me, it's worthwhile to learn the basic graphs of the sine, cosine and tangent functions.

Answer 10

i dont know how to graph it cause is it a limacon or is it normalugh

Answer 11

You'd be much better off graphing the function 3 sin theta first. If y ou're able to do that, then you can take approx. measurements from that graph to use in drawing your lilmacon or whatever. Seriously. Sorry I don't know the shapes of the 2 figures you've mentioned, but we don't need to know the names to graph the functions.

Answer 12

r = -3 + 3 sin θ

It just so happens that sin θ is an odd function, and that its graph is symm. with respect to the origin. But r = -3 + 3 sin θ is neither even nor odd, since that -3 is even (it's constant), whereas the sine function is odd. Mixed case.

Let me know if you want to discuss this further. Open Study tells me you're currently working on a different problem. I am signing off the 'Net now but will be back on later today.