Question

question 9 of 10

the _____ is the extreme point of a parabola and is located halfway between the focus and directrix.

a. major axis
b. center
c. vertex

Explanation:

Identify the definition of a parabola's extreme point

The extreme point (maximum or minimum) of a parabola is called its vertex.

Analyze the geometric relationship

By definition, the vertex of a parabola lies on its axis of symmetry and is located exactly halfway between the focus and the directrix.

Match with the given options

• A. major axis: This is a line segment associated with ellipses and hyperbolas, not an extreme point.
• B. center: A parabola does not have a center.
• C. vertex: This is the correct term for the extreme point located halfway between the focus and directrix.

Answer:

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