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

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Presentation transcript:

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

Parts of a Parabola

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

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

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

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

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

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