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Parabola

Parabola. Sinead Gormally, Dannielle Garceau, Nicole Dillon, Chyna Marino. Definitions.

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Parabola

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  1. Parabola Sinead Gormally, Dannielle Garceau, Nicole Dillon, Chyna Marino

  2. Definitions • Parabola: A Parabola is the collection of all points P in the plane that are the same distance from a fixed point F as they are from a fixed line D. Point F is the Focus of the Parabola and line D is its directrix. |a| - is the distance from the focus to the vertex. • (x-h)2= ± 4a(y-k) – Used for a parabola facing up or down. Facing up is a positive parabola and down is a negative parabola. Directrix is a y line. • (y-k)2= ±4a(x-h) – Used for a parabola facing left or right. Facing right is a positive parabola and left is a negative parabola. Directrix is a x line. • (h,k) represents the center.

  3. VIDEO TUTORIAL #1!!!!!!!!!! • https://www.youtube.com/watch?v=eGsn8yHtfP4 (intro ;) • http://www.youtube.com/watch?v=a4NZSIARRhc (analyzing a parabola)

  4. Video tutorial #2!!!!!!!!!!!! • http://www.youtube.com/watch?v=AVLXNyDogMs (completing the square)

  5. FACT SHEET- PRINTABLE!! • Parabola: A Parabola is the collection of all points P in the plane that are the same distance from a fixed point F as they are from a fixed line D. Point F is the Focus of the Parabola and line D is its directrix. |a| - is the distance from the focus to the vertex. • (x-h)2= ± 4a(y-k) – Used for a parabola facing up or down. Facing up is a positive parabola and down is a negative parabola. Directrix is a y line. • (y-k)2= ±4a(x-h) – Used for a parabola facing left or right. Facing right is a positive parabola and left is a negative parabola. Directrix is a x line. • (h,k) represents the center. • Practice Problems!!!!!!!!!!!! -FIND THE EQUATION & GRAPH!!!!!!!!!!!!!! • Focus at (4,-3), Directrix the line x=0!!!! • Word Problem: A reflector is parabolic in cross section, with receiver at focus. Dish is 8 ft across at its opening and 3 ft deep at its center. At what position should the receiver be placed????

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