What is 3y^{(2)}-24y-24x+96=0 ?

The solution to 3y^{(2)}-24y-24x+96=0 is Parabola with (h,k)=(2,4),p=2

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3y^{(2)}-24y-24x+96=0

3 y^{(2)} - 24 y - 24 x + 96 = 0

(h, k) = (2, 4), p = 2

Solution steps

3 y^{2} - 24 y - 24 x + 96 = 0

Rewrite

3 y^{2} - 24 y - 24 x + 96 = 0

in the standard form

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

Therefore parabola properties are:

(h, k) = (2, 4), p = 2

(x - \frac{31}{4})^{2} + (y + \frac{7}{4}) = \frac{81}{4}

y = - \frac{1}{4} (x + 9)^{2} - 7

(x - 0)^{2} = 16 (y - 0)

x = y^{2} - 6 y + 10

x^{2} + 2 y + 2 = 0

What is 3y^{(2)}-24y-24x+96=0 ?
The solution to 3y^{(2)}-24y-24x+96=0 is Parabola with (h,k)=(2,4),p=2