conic sections advanced geometry conic sections lesson 2
TRANSCRIPT
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