What is 25x^2-10x-200y-119=0 ?

The solution to 25x^2-10x-200y-119=0 is Parabola with (h,k)=(1/5 ,-3/5),p=2

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25x^2-10x-200y-119=0

25 x^{2} - 10 x - 200 y - 119 = 0

(h, k) = (\frac{1}{5}, - \frac{3}{5}), p = 2

Solution steps

25 x^{2} - 10 x - 200 y - 119 = 0

Rewrite

25 x^{2} - 10 x - 200 y - 119 = 0

in the standard form

4 \cdot 2 (y - (- \frac{3}{5})) = (x - \frac{1}{5})^{2}

Therefore parabola properties are:

(h, k) = (\frac{1}{5}, - \frac{3}{5}), p = 2

\frac{x ^{2}}{16} - \frac{y ^{2}}{4} = 1

y^{2} = 8 x

y^{2} = - 8 x

\frac{y ^{2}}{64} - \frac{x ^{2}}{36} = 1

9 x^{2} - 36 x - 4 y^{2} - 24 y - 36 = 0

What is 25x^2-10x-200y-119=0 ?
The solution to 25x^2-10x-200y-119=0 is Parabola with (h,k)=(1/5 ,-3/5),p=2