Conic Sections Topic 7.6. Definitions Conic Section: Any figure that can be formed by slicing a double cone with a plane ParabolaCircleEllipseHyperbola.

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Presentation transcript:

Conic Sections Topic 7.6

Definitions Conic Section: Any figure that can be formed by slicing a double cone with a plane ParabolaCircleEllipseHyperbola Click here to see an animated version

Equation of a Conic Section

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 Conic: A =C CIRCLE Standard Form: **Divide all by 2!**

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 conic Conic: A and C same sign, but A ≠ C ELLIPSE Standard Form: