Ellipses, circles and parabolas.

1. Which equations represent circles? Find the radius, and the coordinates of the
centre of each circle.

2. Which equations represent circles? Find the radius, and the coordinates of the
centre of each circle.

3. The Anatomy of an Ellipse ...

4. Reading the Standard Form of the Equation of an Ellipse ...

6. Determine the equaiton of a parabola defined by the given conditions.
(a) The vertex is V(1, 2) and the focus is F(3, 2)

7. 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.

8. 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.