Question

question 7 of 10

on a parabola, the extreme point (which is the highest, lowest, or farthest point left or right) is called the _____

a. center
b. directrix
c. focus
d. vertex

Explanation:

Identify the definition of the extreme point on a parabola

The extreme point of a parabola (the maximum or minimum point for vertical parabolas, or the leftmost/rightmost point for horizontal parabolas) is defined as the vertex.

Evaluate the given options

• A. center: A parabola does not have a center.
• B. directrix: The directrix is a line, not a point.
• C. focus: The focus is an interior point used to define the parabola, but it is not the extreme point on the curve itself.
• D. vertex: The vertex is the turning point and the extreme point on the parabola.

Answer:

• (A) center
• (B) directrix
• (C) focus
• (D) vertex (Correct answer)