[code][/code]Suppose we have an ellipse with a horizontal major axis and it has a fixed directrix of [math]x=-8[/math] and corresponding focus at [math]\left(0,0\right)[/math]. 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.[br][i][size=85]Note: You can zoom in and out by scrolling on the mouse.[/size][/i]
As [math]e\rightarrow1[/math], what happens to the ellipse?
Where does the other focus [math]F_2[/math] go? And the center of the ellipse?
What happens as you decrease [math]e[/math]?