What is 2y^2-8x-24y+56=0 ?

The solution to 2y^2-8x-24y+56=0 is Parabola with (h,k)=(-2,6),p=1

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2y^2-8x-24y+56=0

2 y^{2} - 8 x - 24 y + 56 = 0

(h, k) = (- 2, 6), p = 1

Solution steps

2 y^{2} - 8 x - 24 y + 56 = 0

Rewrite

2 y^{2} - 8 x - 24 y + 56 = 0

in the standard form

4 \cdot 1 \cdot (x - (- 2)) = (y - 6)^{2}

Therefore parabola properties are:

(h, k) = (- 2, 6), p = 1

\frac{( x - 30 ) ^{2}}{30} - \frac{( y - 200 ) ^{2}}{50} = 3

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

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

x^{2} + y^{2} - 12 y + 32 = 0

9 (y - 2)^{2} - 4 x^{2} = 36

What is 2y^2-8x-24y+56=0 ?
The solution to 2y^2-8x-24y+56=0 is Parabola with (h,k)=(-2,6),p=1