What is 4x^2+4x-24y+37=0 ?

The solution to 4x^2+4x-24y+37=0 is Parabola with (h,k)=(-1/2 , 3/2),p= 3/2

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4x^2+4x-24y+37=0

4 x^{2} + 4 x - 24 y + 37 = 0

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

Solution steps

4 x^{2} + 4 x - 24 y + 37 = 0

Rewrite

4 x^{2} + 4 x - 24 y + 37 = 0

in the standard form

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

Therefore parabola properties are:

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

x^{2} + 4 y = 0

x^{2} - 2 x - 4 y + 17 = 0

(x - 9)^{2} + (y - 3) = 64

x^{2} = y - 2

x^{2} + 2 y = 4

What is 4x^2+4x-24y+37=0 ?
The solution to 4x^2+4x-24y+37=0 is Parabola with (h,k)=(-1/2 , 3/2),p= 3/2