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

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Presentation on theme: "Sinead Gormally, Dannielle Garceau, Nicole Dillon, Chyna Marino."— Presentation transcript:

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

2  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  https://www.youtube.com/watch?v=eGsn8yH tfP4 (intro ;) https://www.youtube.com/watch?v=eGsn8yH tfP4  http://www.youtube.com/watch?v=a4NZSIAR Rhc (analyzing a parabola) http://www.youtube.com/watch?v=a4NZSIAR Rhc

4  http://www.youtube.com/watch?v=AVLXNyD ogMs (completing the square) http://www.youtube.com/watch?v=AVLXNyD ogMs

5  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!!!!!!!!!!!!!! 1) Focus at (4,-3), Directrix the line x=0!!!! 2) 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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