Question

the eccentricity of the conic section shown is ______.

Explanation:

Step1: Identify the conic section

The graph shown is a parabola (since it opens upwards and has the shape of a parabola).

Step2: Recall eccentricity of parabola

For a parabola, the eccentricity \( e \) is defined as the ratio of the distance from any point on the parabola to the focus and the distance from that point to the directrix. For a parabola, this ratio is always \( 1 \). So the eccentricity of a parabola is \( 1 \).

Answer:

\( 1 \)