What is 9x^2+9x+k(x)=0 ?

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

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9x^2+9x+k(x)=0

9 x^{2} + 9 x + k (x) = 0

(h, k) = (- \frac{1}{2}, \frac{9}{4}), p = - \frac{1}{36}

Solution steps

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

Rewrite

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

in the standard form

4 (- \frac{1}{36}) (y - \frac{9}{4}) = (x - (- \frac{1}{2}))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{1}{2}, \frac{9}{4}), p = - \frac{1}{36}

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

x^{2} - 3 y + 12 = 0

- 5 y - y^{2} - x = 0

\frac{1}{8} x^{2} - y = 0

\frac{( y + 4 )}{9} - \frac{( x - 3 ) ^{2}}{25} = 1

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