Conics 2.1 Lecture

-the set of all points (x,y) in a plane the sum of whose distances from two distinct fixed points (foci is constant.

Ellipse

-The line through the foci intersects the ellipse at two points called VERTICES

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-The chord joining the vertices is the MAJOR AXIS, and its midpoint is the CENTER​ of the ellipse.

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-The chord perpendicular to the major axis through the center is the MINOR AXIS.​

Ellipse

The standard form of the equation of an ellipse, with center (h,k) and major and minor axes of lengths 2a and 2b, respectively, where 0<b<a, is

Standard Equation of an Ellipse

If the center is at the origin (0,0), the equation takes one of the following forms:

Identify the center, vertices, co-vertices, and foci of the following ellipse.

Identify the center, vertices, co-vertices, and foci of the following ellipse.

Sketch the graph of the ellipse described by the following equation:

Sketch the graph of the ellipse described by the following equation:

Use the information below to write the standard form equation of the ellipse:

Use the information below to write the standard form equation of the ellipse:

(-10,-2), (-10,-10)  Endpoints of Minor Axis