What is y^{(2)}+2y=-8x-33 ?

The solution to y^{(2)}+2y=-8x-33 is Parabola with (h,k)=(-4,-1),p=-2

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y^{(2)}+2y=-8x-33

y^{(2)} + 2 y = - 8 x - 33

(h, k) = (- 4, - 1), p = - 2

Solution steps

y^{2} + 2 y = - 8 x - 33

Rewrite

y^{2} + 2 y = - 8 x - 33

in the standard form

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

Therefore parabola properties are:

(h, k) = (- 4, - 1), p = - 2

What is y^{(2)}+2y=-8x-33 ?
The solution to y^{(2)}+2y=-8x-33 is Parabola with (h,k)=(-4,-1),p=-2