Answer
Hyperboloid of One Sheet
Work Step by Step
$x^2-y^2+z^2-4x-2z=0$
$x^2-4x+4-y^2+z^2-2z+1=4+1$
$(x-2)^2-y^2+(z-1)^2=5$
$\frac{(x-2)^2}{5}-\frac{y^2}{5}+\frac{(z-1)^2}{5}=1$
This is the equation of a hyperboloid of one sheet along the y-axis centered at (2,0,1).
