What is 3x^2-6y+9=2y-6x+5 ?

The solution to 3x^2-6y+9=2y-6x+5 is Parabola with (h,k)=(-1, 1/8),p= 2/3

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3x^2-6y+9=2y-6x+5

3 x^{2} - 6 y + 9 = 2 y - 6 x + 5

(h, k) = (- 1, \frac{1}{8}), p = \frac{2}{3}

Solution steps

3 x^{2} - 6 y + 9 = 2 y - 6 x + 5

Rewrite

3 x^{2} - 6 y + 9 = 2 y - 6 x + 5

in the standard form

4 \cdot \frac{2}{3} (y - \frac{1}{8}) = (x - (- 1))^{2}

Therefore parabola properties are:

(h, k) = (- 1, \frac{1}{8}), p = \frac{2}{3}

(y + 10)^{2} = x

(x + 1)^{2} = - 8 y + 16

4 x (x - 2) + 5 y - 4 = 0

1 x^{2} - 2 y - 15 = 0

x = 2 (y - 4)^{2} + 1

What is 3x^2-6y+9=2y-6x+5 ?
The solution to 3x^2-6y+9=2y-6x+5 is Parabola with (h,k)=(-1, 1/8),p= 2/3