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When several of these curves are layered together, the results can vary from sparse and delicate constructions of gently curved lines, to violently twitching, thatchy masses.

The parabola is the "regular", or vertical, parabola (in blue), with the focus (in green) "inside" the parabola, the directrix (in purple) below the graph, the axis of symmetry (in red) passing through the focus and perpendicular to the directrix, and the vertex (in orange) on the graph"sideways", or horizontal, parabola (in blue), with the focus (in green) "inside" the parabola, the directrix (in purple) to the left of the graph, the axis of symmetry (in red) passing through the focus and perpendicular to the directrix, and the vertex (in orange) on the graph The name "parabola" is derived from a New Latin term that means something similar to "compare" or "balance", and refers to the fact that the distance from the parabola to the focus is always equal to (that is, is always in balance with) the distance from the parabola to the directrix.

In practical terms, you'll probably only need to know that the vertex is exactly midway between the directrix and the focus.

In any kind of Parabola, the Axis of Parabola is always Perpendicular to it's Directrix.

Hence if you know the Co-ordinates of Vertex and Focus then write the Equation of Axis using Two-Point Form Taking Vertex and Focus as the two points. continue reading » Topic Write the equation for the parabola that has the given characteristics.

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