Answer
Hyperboloid of one sheet as shown in graph (i)
Work Step by Step
Since, we have $z^2+y^2-4x^2=4$
This can be re-written as:
$\dfrac{z^2}{(2)^2}+\dfrac{y^2}{(2)^2}-x^2=1$
Thus, the above equation is a graph for Hyperboloid of one sheet as shown in graph (i).