Hello, kittycat!

Please teach me how to graph a cylinder: .

Since is not in the equation, is unrestricted.

. . The -values are on

The graph extends "up" and "down" infinitely.

When , we have the trace of the cylinder on the -plane

. . . . . the "floor" of the coordinate system.

This trace is: .

This is an ellipse with major axis 6 in the -direction

. . and minor axis 3 in the -direction.

Sketch this ellipse on the -plane (the "floor")

. . then draw the cylinder "straight up" and "straight down".