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Parabola  The set of all points that are equidistant from a given point (focus) and a given line (directrix).

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Presentation on theme: "Parabola  The set of all points that are equidistant from a given point (focus) and a given line (directrix)."— Presentation transcript:

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2 Parabola  The set of all points that are equidistant from a given point (focus) and a given line (directrix).

3 Parts of a Parabola

4 Axis of symmetry: x = h Directrix: y = k – 1/(4a) Focus: (h, k + 1/(4a))

5 Graph the parabola y = 3(x + 4) 2 + 5 Axis of symmetry: Vertex: Focus: Directrix: (-4, 5) x = -4

6 Graph the following parabola x = (y + 5) 2 - 17 Axis of symmetry: Vertex: Focus: Directrix: y = -5 (-17, -5)

7 Graph the following parabola y = -2(x - 3) 2 + 29 Axis of symmetry: Vertex: Focus: Directrix: (3, 29) x = 3

8 Graph the following parabola x = -2(y + 2) 2 + 7 Axis of symmetry: Vertex: Focus: Directrix: y = -2 (7, -2)

9 Graph the following parabola x = (y - 4) 2 + 3 Axis of symmetry: Vertex: Focus: Directrix: (3, 4) y = 4

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