Question

question 36 of 50
the distance from a focus to a vertex on a graph of a parabola is not the same as the distance from vertex to a perpendicular point on the directrix.
false
true

Explanation:

Step1: Recall Parabola Properties

A parabola is defined as the set of points equidistant from a focus and a directrix. The vertex lies midway between the focus and the directrix (along the axis of symmetry). So, the distance from focus to vertex ($|p|$) equals the distance from vertex to directrix (perpendicular distance, also $|p|$).

Step2: Evaluate the Statement

The statement claims these distances are NOT the same. But from the property, they are equal. So the statement is false.

Answer:

False (the option labeled "False")