3. •An ellipse is the set of all points in a plane such that the sum
of the distances from two fixed points is constant.
Major Axis = 2a
Minor Axis = 2b
Major Axis = 2a
(x-h)2 + (y-k)2 = 1 (y-k)2 + (x-h)2 = 1
a2 b2 a2 b2
Center = (h, k)
*The larger denominator indicates the Major Axis*
4. Writing an equation based on a graph
•Write an equation for the
ellipse pictured.
5. Writing equations given information
1) Major axis 8 units long and parallel to x-axis, minor axis 2 units
long and parallel to y-axis, center at (-2, 5).
2) Endpoints of the major axis (-7, 2) and (5, 2), endpoints of minor
axis (-1, 0) and (-1, 4)
6. Graphing Ellipses
•Find the coordinates of the center and the lengths of the major
and minor axes for the ellipse within the given equation. Then
graph the ellipse.
1) 2)