What is x^2-76x+30y-100=0 ?

The solution to x^2-76x+30y-100=0 is Parabola with (h,k)=(38, 772/15),p=-15/2

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x^2-76x+30y-100=0

x^{2} - 76 x + 30 y - 100 = 0

(h, k) = (38, \frac{772}{15}), p = - \frac{15}{2}

Solution steps

x^{2} - 76 x + 30 y - 100 = 0

Rewrite

x^{2} - 76 x + 30 y - 100 = 0

in the standard form

4 (- \frac{15}{2}) (y - \frac{772}{15}) = (x - 38)^{2}

Therefore parabola properties are:

(h, k) = (38, \frac{772}{15}), p = - \frac{15}{2}

f (x) = - x^{2} - 2 x + 24

(x - 0)^{2} = - 12 (y - 5)

y^{2} + 2 y + 4 x - 6 = 0

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

8 k (x) = 3 x^{2} + 4

What is x^2-76x+30y-100=0 ?
The solution to x^2-76x+30y-100=0 is Parabola with (h,k)=(38, 772/15),p=-15/2