What is the name of each of the two blue points in the hyperbola below?

The focus (or foci).

Step-by-step explanation:

The focus of a hyperbola are equidistant from the center of the hyperbola. They can be found with the formula c²= a² + b². The points for the foci being

(-c, y) and (c, y).

In this illustration, the foci are the points in blue.

it would open into a square depending on the type of envelope i’m not sure about the second part