Rewrite the equation 2y^2+8y-2x+6=0 in standard form

A. (y+2) ^2=2 (x+1)

B. (y+4) ^2=x+1

C. (y+2) ^2=x+1

D. (y+2) ^2=x-3

If you would like to rewrite the equation 2 * y^2 + 8 * y - 2 * x + 6 = 0 in the standard form, you can do this using the following steps:

2 * y^2 + 8 * y - 2 * x + 6 = 0 / 2

y^2 + 4 * y - x + 3 = 0

(y + 2) ^2 - 1 - x = 0

(y + 2) ^2 = x + 1

The correct result would be C. (y+2) ^2 = x + 1.