Question

question 8 of 10

the hyperbolas _____ is the point halfway between its two vertices.

a. center
b. directrix
c. focus

Explanation:

Identify the geometric definition of a hyperbola's center

The point halfway between the two vertices of a hyperbola is defined as its center.

Evaluate the given options

• A. center: This is the midpoint of the segment connecting the vertices.
• B. directrix: This is a line used to define the conic section, not a point.
• C. focus: The foci are two points located along the major axis, but neither is halfway between the vertices (the center is halfway between the two foci).

Answer:

• A. center (Correct answer)
• B. directrix
• C. focus