Find the vertices and foci of the conic given by the equation x^2=-y/8???

Question

if the conic is a hyperbola,also find its asymtotes???

Answer 1

This is not a hyperbola, it is a parabola. Since there is no visible h or k, the vertex is (0,0). Since 4p is -1/8, p=-1/32. The focus is (-1/32,0).