Question 1140689
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.


{{{r = 8cos (3theta)}}}


about the x-axis:

 It is {{{not}}} symmetric about the {{{x}}}-axis because {{{cos(3theta) <> -cos(3theta)}}}.


about the y-axis:

It  {{{highlight(is)}}} symmetric about the {{{y}}}-axis because {{{highlight(cos(3theta)=cos(3(-theta)))}}}.


about origin: 
 for {{{r=8cos (3theta) }}} plug in {{{r=-r}}}

{{{-r=8cos(3theta)}}}

{{{r=-8cos(3theta)}}}=>

it is{{{ not}}} symmetric about the {{{origin}}} because {{{cos(3theta)<>-cos(3theta)}}}. 



 {{{ graph( 600, 600, -10, 10, -10, 10, 8cos (3x)) }}}