The axis of a parabola is the line which divides the parabola into two symmetrically equal parts. The following figure shows this:
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The axis divides the parabola symmetrically |
The mirror image of each point on the parabola on one side of the axis lies on the other side of the axis. If you draw a line perpendicular to the axis meeting the parabola at two points then those two points are mirror images of each other.
The axis of a parabola is defined as the line perpendicular to the
directrix and passing through its
focus. This is shown in the following figure:
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Axis of a parabola is perpendicular to the directrix and passes through its focus |
The axis of a parabola can also be defined as the line passing through the
vertex and perpendicular to the directrix.
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