What is y^2+24y-9x+255=0 ?

The solution to y^2+24y-9x+255=0 is Parabola with (h,k)=(37/3 ,-12),p= 9/4

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y^2+24y-9x+255=0

y^{2} + 24 y - 9 x + 255 = 0

(h, k) = (\frac{37}{3}, - 12), p = \frac{9}{4}

Solution steps

y^{2} + 24 y - 9 x + 255 = 0

Rewrite

y^{2} + 24 y - 9 x + 255 = 0

in the standard form

4 \cdot \frac{9}{4} (x - \frac{37}{3}) = (y - (- 12))^{2}

Therefore parabola properties are:

(h, k) = (\frac{37}{3}, - 12), p = \frac{9}{4}

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

x = y^{2} - 3 y + 2

(y + 5)^{2} = - 2 (x - 7)

\frac{( x + 2 ) ^{2}}{25} + \frac{( y - 1 ) 2}{9} = 1

\frac{w + v ^{2}}{5} = 12

What is y^2+24y-9x+255=0 ?
The solution to y^2+24y-9x+255=0 is Parabola with (h,k)=(37/3 ,-12),p= 9/4