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

The solution to -3x^2+6y+2x=6 is Parabola with (h,k)=(1/3 , 17/18),p= 1/2

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

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

(h, k) = (\frac{1}{3}, \frac{17}{18}), p = \frac{1}{2}

Solution steps

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

Rewrite

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

in the standard form

4 \cdot \frac{1}{2} (y - \frac{17}{18}) = (x - \frac{1}{3})^{2}

Therefore parabola properties are:

(h, k) = (\frac{1}{3}, \frac{17}{18}), p = \frac{1}{2}

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

- f (x) = 3 x^{2} - 3 x - 4

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

\frac{1}{4} y + 2 x^{2} + 3 x = 9

(x - 3)^{2} = 11 (y - 4)

What is -3x^2+6y+2x=6 ?
The solution to -3x^2+6y+2x=6 is Parabola with (h,k)=(1/3 , 17/18),p= 1/2