Question 314224
{{{((x+3)^2/(9))+((y-3)^2/(16))=1}}}
{{{16(x+3)^2+9(y-3)^2=144}}}
{{{16(x^2+6x+9)+9(y^2-6y+9)=144}}}
{{{(16x^2+96x+144)+(9y^2-56y+81)=144}}}
{{{16x^2+96x+9y^2-56y+81=0}}}
In parametric form,
{{{x=3cos(t)=3C}}}
{{{x^2=9C^2}}}
{{{y=4sin(t)=4S}}}
{{{y^2=16S^2}}}
{{{16x^2+96x+9y^2-56y+81=0}}}
{{{16(9C^2)+96(3C)+9(16S^2)-56(4S)+81=0}}}
{{{144C^2+288C+144S^2-224S+81=0}}}
{{{288C-224S+225=0}}}
{{{highlight(288cos(t)-224sin(t)+225=0)}}}