What is x^2-12y-6x+5=0 ?

The solution to x^2-12y-6x+5=0 is Parabola with (h,k)=(3,-1/3),p=3

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x^2-12y-6x+5=0

x^{2} - 12 y - 6 x + 5 = 0

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

Solution steps

x^{2} - 12 y - 6 x + 5 = 0

Rewrite

x^{2} - 12 y - 6 x + 5 = 0

in the standard form

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

Therefore parabola properties are:

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

x^{2} + y^{2} = 64

x^{2} = - 36 y

y^{2} = 20 x

x^{2} + 8 y = 0

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

What is x^2-12y-6x+5=0 ?
The solution to x^2-12y-6x+5=0 is Parabola with (h,k)=(3,-1/3),p=3