Question 836031
You did not show or reference to the pictures to choose.


Assuming you mean, {{{x^2+ 8x - y + 2 = 0}}}, putting into general form becomes {{{y=x^2+8x+2}}}
-
Parabola with axis parallel to the y axis, with a minimum point, and should have two x intercepts.  Vertex about (-4,-14).
-
Discriminant is {{{8*8-4*2=56}}};
{{{a=1}}}