What is x^2+76x+100y-100=0 ?

The solution to x^2+76x+100y-100=0 is Parabola with (h,k)=(-38, 386/25),p=-25

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x^2+76x+100y-100=0

x^{2} + 76 x + 100 y - 100 = 0

(h, k) = (- 38, \frac{386}{25}), p = - 25

Solution steps

x^{2} + 76 x + 100 y - 100 = 0

Rewrite

x^{2} + 76 x + 100 y - 100 = 0

in the standard form

4 (- 25) (y - \frac{386}{25}) = (x - (- 38))^{2}

Therefore parabola properties are:

(h, k) = (- 38, \frac{386}{25}), p = - 25

y \geq - x^{2} + 1

a = b^{2} - 5 a

(x - 3)^{2} = 16 (y + 3)

3 y^{2} + 12 y - x + 7 = 0

2 x^{2} - 8 x = (4 - p (x))

What is x^2+76x+100y-100=0 ?
The solution to x^2+76x+100y-100=0 is Parabola with (h,k)=(-38, 386/25),p=-25