Equation of a hyperbola with some info given

[jOANIE]

Homework Statement

Write the equatin of the hyperbola whose center is at the origin and has a vertical transverse axis.

Homework Equations

The equations of the asymptotes are 6x+2y=0 and 6x-2y=0

The Attempt at a Solution

I am good at following an example (am an adult who is learning math on own).
However, I cannot find an example like this one and I really have no idea of where to begin.
Could you give me an example that is like this problem worked out and then I will follow it to do this problem? Thanks.

 

[Wretchosoft]

The information given is not enough to define a specific hyperbola. Perhaps the question asked to write the equation of a hyperbola satisfying these conditions.

 

[jOANIE]

Yes, I think you are right--the directions were to write the equation of a hyperbola satisfying these conditions. Can you help?

 

[Wretchosoft]

In general, if a hyperbola has the equation (x^2)/(a^2)-(y^2)/(b^2)=1, then for large x and y, 1 will be negligible, so that we have (x^2)(b^2/a^2)=y^2. In the limit that x and y become "infinite," this defines the relation between the two, and acts as an asymptote.