What is 6y^2+8x+24y+44=0 ?

The solution to 6y^2+8x+24y+44=0 is Parabola with (h,k)=(-5/2 ,-2),p=-1/3

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6y^2+8x+24y+44=0

6 y^{2} + 8 x + 24 y + 44 = 0

(h, k) = (- \frac{5}{2}, - 2), p = - \frac{1}{3}

Solution steps

6 y^{2} + 8 x + 24 y + 44 = 0

Rewrite

6 y^{2} + 8 x + 24 y + 44 = 0

in the standard form

4 (- \frac{1}{3}) (x - (- \frac{5}{2})) = (y - (- 2))^{2}

Therefore parabola properties are:

(h, k) = (- \frac{5}{2}, - 2), p = - \frac{1}{3}

(x - 3)^{2} = 8 (y + 4)

Y^{2} = 4 X

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

y \geq x^{2} - 7 x + 10

p x^{2} = - 20 y

What is 6y^2+8x+24y+44=0 ?
The solution to 6y^2+8x+24y+44=0 is Parabola with (h,k)=(-5/2 ,-2),p=-1/3