What is 4y^2+9y^2+32x-18y+37=0 ?

The solution to 4y^2+9y^2+32x-18y+37=0 is Parabola with (h,k)=(-25/26 , 9/13),p=-8/13

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4y^2+9y^2+32x-18y+37=0

4 y^{2} + 9 y^{2} + 32 x - 18 y + 37 = 0

(h, k) = (- \frac{25}{26}, \frac{9}{13}), p = - \frac{8}{13}

Solution steps

4 y^{2} + 9 y^{2} + 32 x - 18 y + 37 = 0

Rewrite

4 y^{2} + 9 y^{2} + 32 x - 18 y + 37 = 0

in the standard form

4 (- \frac{8}{13}) (x - (- \frac{25}{26})) = (y - \frac{9}{13})^{2}

Therefore parabola properties are:

(h, k) = (- \frac{25}{26}, \frac{9}{13}), p = - \frac{8}{13}

x^{2} - 6 x - 5 y - 1 = 0

x = y^{2} + 4 y - 6

(x + 3)^{2} = 4 (y - 1)

3 x^{2} - 9 x - 2 = 5 y

y^{2} - 2 y - 8 x - 31 = 0

What is 4y^2+9y^2+32x-18y+37=0 ?
The solution to 4y^2+9y^2+32x-18y+37=0 is Parabola with (h,k)=(-25/26 , 9/13),p=-8/13