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Conic Sections - PowerPoint PPT Presentation


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Conic Sections. Topic 7.6. Definitions. Conic Section: Any figure that can be formed by slicing a double cone with a plane. Parabola. Circle. Ellipse. Hyperbola. Click here to see an animated version. Equation of a Conic Section. Which Conic is it Anyway?.

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definitions
Definitions
  • Conic Section: Any figure that can be formed by slicing a double cone with a plane

Parabola

Circle

Ellipse

Hyperbola

Click here to see an animated version

which conic is it anyway
Which Conic is it Anyway?
  • Parabola: A = 0 OR C = 0
  • Circle: A = C
  • Ellipse: , but both have the same sign
  • Hyperbola: A and C have Different signs
example state the type of conic and write it in the standard form of that conic
Example: State the type of conic and write it in the standard form of that conic
  • Conic: A and C same sign, but A ≠ C
    • ELLIPSE
  • Standard Form:
example state the type of conic and write it in the standard form of that conic6
Example: State the type of conic and write it in the standard form of that conic
  • Conic: A = 0
    • PARABOLA
  • Standard Form:
example state the type of conic and write it in the standard form of that conic7
Example: State the type of conic and write it in the standard form of that conic
  • Conic: A =C
    • CIRCLE
  • Standard Form:

**Divide all by 2!**