Ellipses and Parabolas: Eccentricity

Suppose we have an ellipse with a horizontal major axis and it has a fixed directrix of

and corresponding focus at

. Depending on the eccentricity, we will end up with a different ellipse. Adjust the slider for the eccentricity and see what happens to the ellipse. Answer the questions below. Note: You can zoom in and out by scrolling on the mouse.