Question

For any graph of a hyperbola, which of the following statements describes the locations of the foci, vertices, and center with respect to one another ? Select all that apply .

A- the foci are closer to the center than vertices

B- the foci are further from the center than the vertices

C- the center is located at the midpoint of the two foci

D- the center is located at the midpoint of the two vertices

Answer 1

A and D because they are both related unlike C and D.

Answer 2

The correct statements about the graph of a hyperbola are:

A- the foci are closer to the center than vertices

C- the center is located at the midpoint of the two foci

How to Interpret the hyperbola graph?

The foci of a hyperbola are the two points on the axis of the hyperbola and are equidistant from the center of the hyperbola.

The foci, vertices, and center of a hyperbola are related as follows:

- The foci are closer to the center than the vertices.

-The center is located at the midpoint of the two foci.

-The foci and vertices are collinear, lying on the axis of the hyperbola

The foci of a hyperbola are closer to the center than the vertices, and the center is located at the midpoint of the two foci. Thus, the correct options are options A and C