I know this is a homework but then I need to know how to solve this stuff. Just this one question will do to have a reference to answer the other questions that are like this. Please teach me the process. I know some of you will vote down this question.
So here it is. From the given, find an equation. Foci at $(-1,4)$ and $(7,4)$ and the length of the transverse axis is $\frac{8}{3}$.
Best Answer
Don't forget that the center of the hyperbola is at (3,4) (midpoint of foci). So replace $x^2$ and $y^2$ with $(x-3)^2$ and $(y-4)^2$.