What is 3x^2+3x^2-27x-9y-24=0 ?

The solution to 3x^2+3x^2-27x-9y-24=0 is Parabola with (h,k)=(9/4 ,-145/24),p= 3/8

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3x^2+3x^2-27x-9y-24=0

3 x^{2} + 3 x^{2} - 27 x - 9 y - 24 = 0

(h, k) = (\frac{9}{4}, - \frac{145}{24}), p = \frac{3}{8}

Solution steps

3 x^{2} + 3 x^{2} - 27 x - 9 y - 24 = 0

Rewrite

3 x^{2} + 3 x^{2} - 27 x - 9 y - 24 = 0

in the standard form

4 \cdot \frac{3}{8} (y - (- \frac{145}{24})) = (x - \frac{9}{4})^{2}

Therefore parabola properties are:

(h, k) = (\frac{9}{4}, - \frac{145}{24}), p = \frac{3}{8}

2 x^{2} - x + y \leq 1

x = 6 y^{2}

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

(y - 1)^{2} = - 4 x

15 x^{2} = - 6 y

What is 3x^2+3x^2-27x-9y-24=0 ?
The solution to 3x^2+3x^2-27x-9y-24=0 is Parabola with (h,k)=(9/4 ,-145/24),p= 3/8