Question

problem 7
(fill in the blank) : name the following quadric surface and identify the axis.
name of the quadric surface = <your answer here>
axis of the quadric surface = <your answer here>

Explanation:

The surface has a single curved "hill" shape, opening downward, symmetric around the z-axis, matching the form of an elliptic paraboloid which is a quadric surface that curves upward/downward along two axes and is symmetric about one central axis. The symmetry and orientation show it aligns with the z-axis.

Answer:

Name of the quadric surface = Elliptic Paraboloid
Axis of the quadric surface = z-axis