Find the standard form of the equation of the hyperbola with the given characteristics.
Vertices: (-2,1),(2,1);
passes through the point (5,4)
The equation of a hyperbola is given by , where is the centre of the hyperbola.
For your question, the centre of the hyperbola is , and since is the distance from the vertices to the centre.
Thus,
Since the curve passes through , you can find by substitution.