Question

find an equation for hyperbola describe. graph the equationcenter (0,0), focus (8,0) vertex at (4,0)what axis and the equation of hyperbola is__ - ____=1

Answer 1

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