What is y^2+4x-2y+21=0 ?

The solution to y^2+4x-2y+21=0 is Parabola with (h,k)=(-5,1),p=-1

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y^2+4x-2y+21=0

y^{2} + 4 x - 2 y + 21 = 0

(h, k) = (- 5, 1), p = - 1

Solution steps

y^{2} + 4 x - 2 y + 21 = 0

Rewrite

y^{2} + 4 x - 2 y + 21 = 0

in the standard form

4 (- 1) (x - (- 5)) = (y - 1)^{2}

Therefore parabola properties are:

(h, k) = (- 5, 1), p = - 1

x^{2} + 6 y = 0

f (x) = x^{2} - 6 x - 1

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

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

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

What is y^2+4x-2y+21=0 ?
The solution to y^2+4x-2y+21=0 is Parabola with (h,k)=(-5,1),p=-1