What is y^{(2)}+6y-2x+13=0 ?

The solution to y^{(2)}+6y-2x+13=0 is Parabola with (h,k)=(2,-3),p= 1/2

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y^{(2)}+6y-2x+13=0

y^{(2)} + 6 y - 2 x + 13 = 0

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

Solution steps

y^{2} + 6 y - 2 x + 13 = 0

Rewrite

y^{2} + 6 y - 2 x + 13 = 0

in the standard form

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

Therefore parabola properties are:

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

x^{2} - 10 x - 5 y + 40 = 0

y > 2 (x + 5) (x + 4)

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

(y - 7)^{2} = - 12 (x + 1)

y + 6 = x^{(2)} - x

What is y^{(2)}+6y-2x+13=0 ?
The solution to y^{(2)}+6y-2x+13=0 is Parabola with (h,k)=(2,-3),p= 1/2