Identify the Following Quadric Surface $z = \frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 14 }$

Multiple Choice

Identify the following quadric surface. $z = \frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 14 }$

A) elliptic paraboloid
B) elliptic cone
C) hyperboloid of two sheets
D) hyperboloid of one sheet
E) ellipsoid