SWBAT write equations of ellipses whose center is at the origin
in standard form and graph ellipses. (Lesson 5 Section 9- 3)
Warm up:
1) A _____________________ is the intersection of a plane and a
double-napped cone.
2) A collection of points satisfying a geometric property can also be
referred to as a ________________________ of points.
3) A ___________________ is defined as the set of all points (x,y) in a
plane that are equidistant from a fixed line, called the __________,
and a fixed point, called the __________, not on the line.
4) The line that passes through the focus and vertex of a parabola is
called the ____________________ of the parabola.
5) The ___________________ of a parabola is the midpoint between the
focus and the directix.
6) A line segment that passes through the focus of a parabola and has
endpoints on the parabola is called a_________________
__________________.
7) A line is_______________________ to a parabola at a point on the
parabola if the line intersects, but does not cross, the parabola at the
point.
SWBAT write equations of ellipses whose center is at the origin
in standard form and graph ellipses. (Lesson 5 Section 9- 3)
 The line containing the foci is called the major axis.
 The midpoint of the line segment joining the foci is called the
center of the ellipse.
 The minor axis is the line segment through the center and
perpendicular to the major axis.
 The distance from 1 vertex to the other is called the length of
the major axis.
 An ellipse is symmetric with respect to its major and minor
axis.
SWBAT write equations of ellipses whose center is at the origin
in standard form and graph ellipses. (Lesson 5 Section 9- 3)
SWBAT write equations of ellipses whose center is at the origin
in standard form and graph ellipses. (Lesson 5 Section 9- 3)
Example 1) Find the standard equation of the ellipse with center at
the origin, one focus at (3,0) and a vertex at (5, 0).
Graph the equation.
SWBAT write equations of ellipses whose center is at the origin
in standard form and graph ellipses. (Lesson 5 Section 9- 3)
Example 2)
Analyze the equation:
x2 y 2

1
16 8
Example 3) Analyze the equation
x2 y2

1
4 25
Example 4) Find an equation of the ellipse having one focus at
(0, 4) and vertices at (0, – 8) and (0, 8). Graph the equation by
hand.