Conic Sections

Advanced GeometryConic Sections

Lesson 2

Conic SectionsA curve determined by the intersection of a plane

with a double right cone.

Circle Ellipse Hyperbola Parabola

Axis of Symmetry

DirectrixVertex

Focus

Parabola

VerticalAxis of Symmetry

Horizontal Axis of Symmetry

Example:Using the graphs below, provide all of the listed information.

Vertex:

Focus:

Axis of Symmetry:

Directrix:

Ellipse

Center

Major Axis

Minor Axis

Vertices Foci

VerticalMajor Axis

HorizontalMajor Axis

Example:Using the graphs below, provide all of the listed information.

Center:

Foci:

Length of theMajor Axis:

Length of theMinor Axis:

Vertices:

Hyperbola

Center

Foci

Transverse Axis

Conjugate Axis

Vertices

Asymptotes

VerticalTransverse Axis

HorizontalTransverse Axis

Example:Using the graphs below, provide all of the listed information.

Center:

Vertices:

Foci:

Slopes of theAsymptotes:

Example:Graph the specified conic section using the information provided.

Ellipse

Center: (-3,0)

Foci: (8, -3)

Length of theMajor Axis: 20 units

Length of theMinor Axis: 12 units

Vertices: (10, -3), (0, 3), (0, -9)

Parabola

Vertex: (1, 1)

Focus: (4, 1)

Axis of Symmetry: y = 1

Directrix: x = -2

Example:Graph the specified conic section using the information provided.

Circle

Center: (-3,-3)

Radius: 6 units

Example:Graph the specified conic section using the information provided.

Hyperbola

Center: (2, -1)

Vertices: (2, 3), (2, -5)

Foci: (2, 4), (2, -6)

Slopes of theAsymptotes:

Example:Graph the specified conic section using the information provided.

4

3m