Identify the surface $x = y ^ { 2 } - z ^ { 2 }$ .
A)ellipsoid but not a sphere
B)hyperboloid of one sheet
C)hyperboloid of two sheets
D)cylinder
E)sphere
F)elliptic but not circular paraboloid
G)cone
H)hyperbolic paraboloid

Question

Quizplus · Accepted Answer

The equation $x = y^2 - z^2$ represents a hyperbolic paraboloid, which is a saddle-shaped surface.

Identify the Surface x=y2−z2x = y ^ { 2 } - z ^ { 2 }x=y2−z2

Identify the Surface $x = y ^ { 2 } - z ^ { 2 }$