10.3 The EllipseObjective: Write equations of ellipses and find their vertices and foci.

Standard: Math Analysis 5.0

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

Standard Equation:

Center:

Vertices:

Co-Vertices:

Foci:

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

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).

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

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

Assignment:

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