(Solved): \[ 8 x^{2}+y+8 z^{2}=0 \] (Write an equation for the cross section at \( z=0 \) using \( x \) and ...

\[ 8 x^{2}+y+8 z^{2}=0 \] (Write an equation for the cross section at \( z=0 \) using \( x \) and \( y \).) (Write an equation for the cross section at \( y=-8 \) using \( x \) and \( z \).) (Write an equation for the cross section at \( y=8 \) using \( x \) and \( z \).) (Write an equation for the cross section at \( x=0 \) using \( y \) and \( z \).) Update Graph Enter appropriate values in the answer blank(s) and click "Update Graph." Identify the surface. hyperboloid of two sheets parabolic cylinder elliptic paraboloid hyperbolic paraboloid hyperboloid of one sheet elliptic cylinder ellipsoid elliptic cone