Identify the quadric surface: -4x^2+y^2-4z^2=4

Question

How would I trace this on the xy and yz coordinate plane as as well as the planes y=±4

Answer 1

On the xy coordinate plane, set z=0 and re-write your equation.

On the yz coordinate plane, set x=0 and re-write your equation.

On the planes, y= ±4, set y= ±4 and re-write your equation.