What is 9x^2-12x+m(x)=0 ?

The solution to 9x^2-12x+m(x)=0 is Parabola with (h,k)=(2/3 ,4),p=-1/36

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9x^2-12x+m(x)=0

9 x^{2} - 12 x + m (x) = 0

(h, k) = (\frac{2}{3}, 4), p = - \frac{1}{36}

Solution steps

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

Rewrite

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

in the standard form

4 (- \frac{1}{36}) (y - 4) = (x - \frac{2}{3})^{2}

Therefore parabola properties are:

(h, k) = (\frac{2}{3}, 4), p = - \frac{1}{36}

- x^{2} + 7 x + y + 30 < 0

y^{2} = \frac{3}{2} x

x^{2} = 8 p (x)

3 x^{2} + 80 = - 24 x - 16 y

y^{(2)} + 8 x + 2 y + 33 = 0

What is 9x^2-12x+m(x)=0 ?
The solution to 9x^2-12x+m(x)=0 is Parabola with (h,k)=(2/3 ,4),p=-1/36