What is 3y^2-9y+6x+2=0 ?

The solution to 3y^2-9y+6x+2=0 is Parabola with (h,k)=(19/24 , 3/2),p=-1/2

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3y^2-9y+6x+2=0

3 y^{2} - 9 y + 6 x + 2 = 0

(h, k) = (\frac{19}{24}, \frac{3}{2}), p = - \frac{1}{2}

Solution steps

3 y^{2} - 9 y + 6 x + 2 = 0

Rewrite

3 y^{2} - 9 y + 6 x + 2 = 0

in the standard form

4 (- \frac{1}{2}) (x - \frac{19}{24}) = (y - \frac{3}{2})^{2}

Therefore parabola properties are:

(h, k) = (\frac{19}{24}, \frac{3}{2}), p = - \frac{1}{2}

\frac{( x - 1 )}{49} + \frac{( y - 3 ) ^{2}}{36} = 1

(x - 4)^{2} = - 8 (y + 3)

y^{2} = 8 x + 5

y^{2} - 6 y = 8 x - 17

3 x^{2} - 22 x + 42 + 3 y - 10 y = 0

What is 3y^2-9y+6x+2=0 ?
The solution to 3y^2-9y+6x+2=0 is Parabola with (h,k)=(19/24 , 3/2),p=-1/2