Question 257072
This conic section is a parabola. We know because only one term is to the second power.
{{{x^2-16x-8y+80=0}}}
rewriting we get
{{{-8y = -x^2 + 16x - 80}}}
by completing the square, we get
{{{-8y = -(x-8)^2 - 16}}}
dividing by -8, we get
{{{y = (1/8)(x-8)^2 + 2}}}