A look at the Ellipse.

1. 10.3 The Ellipse
Objective: Write equations of ellipses and find their
vertices and foci.
Standard: Math Analysis 5.0

2. Definition of an Ellipse:
The set of all points equidistant from ___________
_________ where the ________ is constant.

3. Standard Equation:
Center:
Vertices:
Co-Vertices:
Foci:

4. Ex. 1) Find the standard form of the ellipse having foci
at (-2, 2) and (4, 2) and a major axis length of 10.

5. Ex. 2) Find the foci of an ellipse with vertices at (-3, -6)
and (-3, 8) and co-vertices at (-5, 1) and (-1, 1).

6. Ex. 3) Find the standard form of the ellipse below. Then
sketch a graph.

8. Ex. 4) Find the center, vertices, and foci of the ellipse
given by the equation:

10. Assignment:
#27 p. 750
#13, 14, 19-22, 37-40