What is x^2-24y+48=0 ?

The solution to x^2-24y+48=0 is Parabola with (h,k)=(0,2),p=6

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x^2-24y+48=0

x^{2} - 24 y + 48 = 0

(h, k) = (0, 2), p = 6

Solution steps

x^{2} - 24 y + 48 = 0

Rewrite

x^{2} - 24 y + 48 = 0

in the standard form:

4 \cdot 6 (y - 2) = (x - 0)^{2}

Therefore parabola properties are:

(h, k) = (0, 2), p = 6

81 x^{2} - 1296 x + 16 y^{2} + 64 y = - 3952

\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1

3 x^{2} + 8 y = 0

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

y \leq - 3 x^{2} + 1

What is x^2-24y+48=0 ?
The solution to x^2-24y+48=0 is Parabola with (h,k)=(0,2),p=6