What is y^2+6y+8x+25=0 ?

The solution to y^2+6y+8x+25=0 is Parabola with (h,k)=(-2,-3),p=-2

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y^2+6y+8x+25=0

y^{2} + 6 y + 8 x + 25 = 0

(h, k) = (- 2, - 3), p = - 2

Solution steps

y^{2} + 6 y + 8 x + 25 = 0

Rewrite

y^{2} + 6 y + 8 x + 25 = 0

in the standard form

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

Therefore parabola properties are:

(h, k) = (- 2, - 3), p = - 2

9 y^{2} - 49 x^{2} = 441

\frac{x ^{2}}{25} - \frac{y ^{2}}{16} = 1

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

x^{2} + y^{2} - 25 = 0

\frac{x ^{2}}{36} + \frac{y ^{2}}{16} = 1

What is y^2+6y+8x+25=0 ?
The solution to y^2+6y+8x+25=0 is Parabola with (h,k)=(-2,-3),p=-2