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).