## anonymous one year ago need help !!

1. anonymous

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

2. hartnn

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 $$\pi+\theta$$

3. anonymous

so is it y-axis only??

4. hartnn

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

5. hartnn

To check y-axis symmetry, replace r by r and $$\theta$$ by $$\pi-\theta$$ r = 2+3 sin (pi-theta) = 2+3 sin theta

6. anonymous

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

7. hartnn

sure :)

8. anonymous

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

9. anonymous
10. anonymous

@hartnn