SOLUTION: what is a possible equation for a hyperbola that is centered at the origin, opens left and right and has a transverse axis of length 6

Question 698158: what is a possible equation for a hyperbola that is centered at the origin, opens left and right and has a transverse axis of length 6
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
A hyperbola that is centered at the origin, and opens left and right has an equation of the form

where cannot be zero (because it would mean <--->,
but when , <--->, so or Those are the x-coordinates of vertices (-a,0) and (a,0),
and the distance between the vertices is the transverse axis =
So the equation you need is
or
You can chose a value for to change how "pointy" the vertices are.
The slopes of the asymptotes will be and

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