Question 916529
{{{2x^2 + 3(y-4/6)^2 = 16/12 = 4/3 }}} completing the Square and dividing thru by 4/3
{{{x^2/(2/3) + (y-4/6)^2/(4/9) = 1 }}} 
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Standard Form of an Equation of a Circle is {{{(x-h)^2 + (y-k)^2 = r^2}}} 
Standard Form of an Equation of an Ellipse is {{{(x-h)^2/a^2 + (y-k)^2/b^2 = 1 }}} ****
Standard Form of an Equation of an Hyperbola opening up and down is:{{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}} 
Standard Form of an Equation of an Hyperbola opening right and  left is:{{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} 
the vertex form of a Parabola opening up(a>0) or down(a<0), {{{y=a(x-h)^2 +k}}}
 the vertex form of a Parabola opening right(a>0) or left(a<0), {{{x=a(y-k)^2 +h}}}