Question

Write the equation of a hyperbola with vertices at (-7, 0) and (7, 0) and co-vertices (0, -4) and (0, 4).

Answer 1

@xapproachesinfinity

Answer 2

@surjithayer

Answer 3

@LynFran

Answer 4

I think the first answer choice is correct because the vertices (major axis) are on the x-axis and the co-vertices (minor axis) are on the y-axis. And the major axis is always the one that's positive in hyperbolas; so 7^2=49 goes under x^2 and 4^2=16 goes under -y^2
x^2 _ y^2
--- ---
49 16

Answer 5

Does that make any sense? Because I can explain it a little more.

Answer 6

correct
center Is (0,0)
a=7
b=4
eq. of hyperbola is
\[\frac{ x^2 }{ a^2 }-\frac{ y^2 }{ b^2 }=1\]