The graph of hyperbola is attached below.
To understand more, check below explanation.
Hyperbola:
It is a conic section, produced by the intersection of a circular cone and a plane that cuts both nappes of the cone.
The standard equation of hyperboal is given as,
[tex]\frac{y^{2} }{a^{2} } -\frac{x^{2} }{b^{2} }=1[/tex]
The given hyperbola is,
[tex]\frac{y^{2} }{4}-\frac{x^{2} }{16} =1[/tex]
After comparing, we get [tex]a=2,b=4[/tex]
The graph of hyperbola is attached below.
Leran more about the hyper bola here:
https://brainly.com/question/3405939
