What is y^2+24y-9x+225=0 ?

The solution to y^2+24y-9x+225=0 is Parabola with (h,k)=(9,-12),p= 9/4

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y^2+24y-9x+225=0

y^{2} + 24 y - 9 x + 225 = 0

(h, k) = (9, - 12), p = \frac{9}{4}

Solution steps

y^{2} + 24 y - 9 x + 225 = 0

Rewrite

y^{2} + 24 y - 9 x + 225 = 0

in the standard form

4 \cdot \frac{9}{4} (x - 9) = (y - (- 12))^{2}

Therefore parabola properties are:

(h, k) = (9, - 12), p = \frac{9}{4}

(y - 3)^{2} = 4 (x + 2)

y^{2} - 4 x + 3 y + 10 = 0

3 y^{2} + 4 x - 6 y + 8 = 0

y^{(2)} + 2 y = - 8 x - 33

x = - y^{2} + 1

What is y^2+24y-9x+225=0 ?
The solution to y^2+24y-9x+225=0 is Parabola with (h,k)=(9,-12),p= 9/4