What is x^{(2)}+8x+16y-16=0 ?

The solution to x^{(2)}+8x+16y-16=0 is Parabola with (h,k)=(-4,2),p=-4

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x^{(2)}+8x+16y-16=0

x^{(2)} + 8 x + 16 y - 16 = 0

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

Solution steps

x^{2} + 8 x + 16 y - 16 = 0

Rewrite

x^{2} + 8 x + 16 y - 16 = 0

in the standard form

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

Therefore parabola properties are:

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

4 x^{2} + 5 x + h (x) = 0

y^{2} - 4 y + 20 x + 4 = 0

10 x^{2} - 5 x = y + 4

f (x) (a - 9) = 2 x^{2} + 8

x = \frac{y ^{2}}{4} + 1

What is x^{(2)}+8x+16y-16=0 ?
The solution to x^{(2)}+8x+16y-16=0 is Parabola with (h,k)=(-4,2),p=-4