What is 9x^2-12x+8y-32=0 ?

The solution to 9x^2-12x+8y-32=0 is Parabola with (h,k)=(2/3 , 9/2),p=-2/9

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9x^2-12x+8y-32=0

9 x^{2} - 12 x + 8 y - 32 = 0

(h, k) = (\frac{2}{3}, \frac{9}{2}), p = - \frac{2}{9}

Solution steps

9 x^{2} - 12 x + 8 y - 32 = 0

Rewrite

9 x^{2} - 12 x + 8 y - 32 = 0

in the standard form

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

Therefore parabola properties are:

(h, k) = (\frac{2}{3}, \frac{9}{2}), p = - \frac{2}{9}

What is 9x^2-12x+8y-32=0 ?
The solution to 9x^2-12x+8y-32=0 is Parabola with (h,k)=(2/3 , 9/2),p=-2/9