What is x squared minus 8x plus 8y plus 32 equals 0 in standard parabola form?

x^(2) + 8x + 8y +32 = 0

Then

-8y = x^(2) + 8x + 32

y = (-x^(2)/8) - x - 4

In standard parabolic form. The coefficient of x^(2) is '-1/8' .

It will be an 'umbrella' shaped parabola.