ANSWER:
The center is:
Vertex with larger y-value:
Vertex with smaller y-value:
Foci with larger y-value:
Foci with smaller y-value:
Equation of an asymptote:
Where
Step-by-step explanation:
We have to take this equation into the general form of an hyperbola:
Where (h,k) is the center of the hyperbola.
We also know the vertices are:
The foci are:
And that the asymptotes are given by the expression:
Let's manipulate the equation:
From this general equation, we can conclude that the center is:
Now, the vertices are:
The foci are:
And the equation of the asympotes are:
One of this asymptotes is: