What is 36^2-64y^2-504x+768y-2844=0 ?

The solution to 36^2-64y^2-504x+768y-2844=0 is Parabola with (h,k)=(3/2 ,6),p=-63/32

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36^2-64y^2-504x+768y-2844=0

3 6^{2} - 64 y^{2} - 504 x + 768 y - 2844 = 0

(h, k) = (\frac{3}{2}, 6), p = - \frac{63}{32}

Solution steps

3 6^{2} - 64 y^{2} - 504 x + 768 y - 2844 = 0

Rewrite

3 6^{2} - 64 y^{2} - 504 x + 768 y - 2844 = 0

in the standard form

4 (- \frac{63}{32}) (x - \frac{3}{2}) = (y - 6)^{2}

Therefore parabola properties are:

(h, k) = (\frac{3}{2}, 6), p = - \frac{63}{32}

\frac{1}{2} x = \frac{y - 1}{x + 3}

y \geq 2 x^{2} + 2 x - 3

x, 4 k (x)^{2} + 6 = 5 k (x)^{2} - 4 x + 3

(x + 2)^{2} = - 8 (y - 2)

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

What is 36^2-64y^2-504x+768y-2844=0 ?
The solution to 36^2-64y^2-504x+768y-2844=0 is Parabola with (h,k)=(3/2 ,6),p=-63/32