Question

question 2 of 10

the _____ is the extreme point on half of a hyperbola.

a. vertex
b. major axis
c. focus

Explanation:

Identify the definition of hyperbola components

The extreme point on each branch (half) of a hyperbola is the point where the curve turns, representing the minimum or maximum coordinate along the transverse axis. This point is defined as the vertex of the hyperbola.

Evaluate the given options

• A. vertex: Correct, as the vertices are the turning points (extreme points) of each branch.
• B. major axis: Incorrect, this is a line segment associated with ellipses, not a point.
• C. focus: Incorrect, the foci are fixed interior points used to define the hyperbola, not points on the curve itself.

Answer:

The <blank>vertex</blank> is the extreme point on half of a hyperbola.

• A. vertex (Correct answer)
• B. major axis
• C. focus