Question 1138249
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. 
{{{r = -3 + 3 sin( theta)}}}	

polar plot:

<a href="http://tinypic.com?ref=nn5nhg" target="_blank"><img src="http://i68.tinypic.com/nn5nhg.gif" border="0" alt="Image and video hosting by TinyPic"></a>


test: 
replace {{{theta}}} with {{{-theta}}}

polar plot: {{{r = -3 + 3sin(-theta)}}}

<a href="http://tinypic.com?ref=2lnz8ys" target="_blank"><img src="http://i63.tinypic.com/2lnz8ys.gif" border="0" alt="Image and video hosting by TinyPic"></a>

=>polar equation is changed; the graph is {{{NOT}}} symmetric about the{{{ x}}}-axis


replace {{{theta}}} with {{{(pi-theta) }}}

{{{r = -3 + 3 sin( pi-theta)}}}	

<a href="http://tinypic.com?ref=2vxgnma" target="_blank"><img src="http://i63.tinypic.com/2vxgnma.gif" border="0" alt="Image and video hosting by TinyPic"></a>

and you will see that the graph will not change; the graph {{{IS}}} symmetric about the {{{y}}}-axis