Question

the eccentricity of the conic section graphed is: a. zero b. between 0 and 1 c. one d. greater than 1

Explanation:

Step1: Recall eccentricity formula for conics

The eccentricity $e$ of a conic - section is defined as the ratio of the distance from a point on the conic - section to the focus and the distance from the same point to the directrix. For a circle, the focus is the center of the circle and the concept of directrix is not applicable in the usual sense. Mathematically, for a circle, the eccentricity $e = 0$.

Step2: Identify the conic - section in the graph

The graph given is a circle centered at the origin $(0,0)$ with a radius of 1 unit.

Answer:

A. Zero