1. Day 20 AGENDA:
Quiz minutes

2. Accel Precalculus Unit #2: Algebra Topics Lesson #3: Ellipse
EQ: What is the equation of an ellipse and how do you use this equation to graph an ellipse?

3. Ellipse

5. Definition of Ellipse

6. An ellipse has two axes of
symmetry. The major axis
is the longer and the minor
axis is the shorter. The
endpoints of the major
axis are the vertices. The
endpoints of the minor axis are called the
co-vertices. The foci are always on the major axis.
The point of intersection of the major and minor axis is called the center.

7. Standard Equation of a Translated Horizontal Ellipse
A Translated Ellipse
Center
Major Axis
Minor Axis
Vertex
Co-Vertex
Foci
(h, k)
Horizontal 2a
Vertical 2b
(h  a, k)
Always a2 > b2 and
a2 - b2 = c2
(h, k  b)
(h  c, k)

8. Standard Equation of a Translated Vertical Ellipse
A Translated Ellipse
Center
Major Axis
Minor Axis
Vertex
Co-Vertex
Foci
(h, k)
Vertical 2a
Horizontal 2b
(h, k  a)
(h  b, k)
Always a2 > b2 and
a2 - b2 = c2
(h, k  c)

10. 2

11. 3

12. State the standard equation for the ellipse graphed at the right.
IN CLASS ASSIGNMENT:
Graph the ellipse
State the standard equation for
the ellipse graphed at the right.
3. Write the standard equation for an ellipse with foci at (-12,0) and (12,0) and with a major axis of 26. Sketch the graph.
4. Write the standard equation for an ellipse with its center at (-1, -2) and with a vertical major axis of 8 and minor axis of 4. Sketch the graph.
(5,8)

15. Assignment:
Precalc Textbook p – 711
#1 – 6, 8, 11, 27, 30, 31, 35, 37