The hyperbola equation is
.
The hyperbola center at origin.
\Since they all lie on the y-axis, the tranverse axis coincides with the y-axis.
\Than also comparing this equation in
.
Than a2 = 16, b2 = 4 vertices at (0,
a) = (0,
4) = (0,
4), (0, 4).
The hyperbola equation is
, Than
.


than focus at (0,
c) = (0,
).
The asymptotes are the lines
.
To find the points above and below the focus , let y =
.

(Add
to each side)

(Subtract 1 from each side)


(Multiply each side by 64)


The points above and below the focus are
.
To the graph of the hyperbola equation and points.
\
The hyperbola equation is
.
vertices at
, focus at
and center (0, 0).
