find an equation for hyperbola describe. graph the equation
center (0,0), focus (8,0) vertex at (4,0)
what axis and the equation of hyperbola is
we know that
the center (0,0)
so
(h,k)=(0,0)
Find the value of a
a=4 ------> a^2=16
c=8 -----> c^2=64
we have that
c^2=a^2+b^2
b^2=c^2-a^2
b^2=64-16
b^2=48
Find the equation
x^2/a^2-y^2/b^2=1
so
x^2/16-y^2/48=1
the graph is
see the attached figure