Objectives To write the equation of an ellipse
To find the foci of an ellipse
To graph an ellipse
Points on the smooth curve in the Solve It have a total distance of 10 units to the points
Essential Understanding A circle is the set of points a fixed distance from one point. An ellipse “stretches” a circle in one direction and is the set of points that have a total fixed distance from two points.
Definition
An ellipse is a set of all points P in a plane such that the sum of the distances from P to two fixed points
Symbols
Graph