How do you find the standard form given vertices (-6, -2) and (6,-2) and foci of (-8, -2) and (8, -2)?
There are two standard forms for hyperbolas:
Because the vertices have the same y coordinate but different x coordinates, we know that we must use equation .
For equation  here are the general formulas for the vertices are:
Substitute -6 for
It is obvious that
Substitute these values into equation :
For equation  here are the general formulas for the foci are:
Substitute 8 for
Solve for b:
Substitute this into equation :
Equation  is the answer.