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Quadratic Function : Parabola
Quadratic Function:
Parabola : y = a ( x - h)
2
, where a = 1/(2p)
Vertex: V (h, 0)
foci ( h, p/2)
Graphic: Open Upward if p > 0 and Open Downward if p < 0.
y = (1/4) x
2
Vertex: (0, 0)
Axis of symmetry: x = 0
Graphic: Open Upward
y = - (1/4) x
2
Vertex (0, 0)
Axis of symmetry: x = 0
Graphic: Open Downward
y = 0.125 ( x - 3 )
2
Vertex ( 3, 0)
Graphic: Open Upward
y = - 0.5 ( x + 2 )
2
Vertex (-2, 0)
Graphic: Open Downward
Parabola equation:
y
2
= 2px (p > 0)
Vertex: (0, 0)
Foci: F( p/2, 0)
Directrix: x = - (p/2)
Axis of symmetry: y = 0
Graphic: Open Right
Parabola equation:
y
2
= - 2px (p > 0)
Vertex (0, 0)
Foci: F( - p/2, 0)
Directrix: x = p/2
Axis of symmetry: y = 0
Graphic: Open Left