Write an equation in standard form for the hyperbola with center (0,0), vertex(4,0) , and focus (8,0).

2 answers

the major axis is horizontal and
a = 4, b = ? and c = 5
I recognize the 3-4-5 Pythagorean triangle, so b = 3

equation:
x^2/16 - y^2/9 = 1
That isn't one of the choses...
1) x^2/64-x^2/16=1
2)x^2/16-y^2/64=1
3)y^2/48-x^2/16=1
4)x^2/16-y^2/48=1