For the surface $4y^2-3x^2-z^2=4$ :

$[4]$ a$)$ Find and graph the surface's trace in the $yz$ plane.

$4y^2-0-z^2=4$

$4y^2-z^2+-y^2$

$[8]$ b$)$ Find and graph the shrface's traces in the planes $y=-2,y=0$ and $y=2.$

$y=-2$

$4(-2{)}^2=4$

$(-2{)}^2=1$

$4=1$

$[8]$ c$)$ Use the traces from $($a$)$ and $($b$)$ to help you graph the surface in $R^3.$