Introduction to the hyperbola.

1. What does a quot;sonic boomquot;
have to do with hyperbolas?
sonicboomplane_navy.jpg

2. For each ellipse whose equation is given below
(i) Write the equation in standard form
(ii) Determine the lengths of the major and minor axes, the
coordinates of the verticies, and the coordinates of the foci.
(iii) Sketch a graph of the ellipse.

3. For each ellipse whose equation is given below
(i) Write the equation in standard form
(ii) Determine the lengths of the major and minor axes, the
coordinates of the verticies, and the coordinates of the foci.
(iii) Sketch a graph of the ellipse.