Hyperbolas homework worksheet

The two halves are referred to as branches. Remember ellipses? Similar to ellipses, hyperbolas too, have two foci and two vertices. But these foci are further from the center of the hyperbolas than the vertices.

A hyperbola is a symmetrical curve formed by the intersection of a plane with cones located on opposite sides of the same vertex. The branches of the hyperbola are present at the same distance from a line passing through a point known as the center (h,k).

Considering these two equations, we have to find the values of the h, k, a, b, and c. Mathematically, the vertex is defined as the point of intersection of the line lying perpendicular to the directrix, that crosses through the focus.