Explore the relationship between a and b and the shape of the ellipse using the following applet:

Ellipse Geogebra Applet *(This will open a new window/tab in your browser. Close the window/tab to return to this lesson)*

After exploring the applet, see if you are able to answer the following questions.

- How does 'a' effect the equation? How does it change the ellipse?

- How does 'b' effect the equation? How does it change the ellipse?

- What is the relationship between 'a' and 'b' and the x and y intercepts of this particular ellipse?