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