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An interactive two dimensional plot with horizontal coordinate shown from negative two to two and vertical coordiante from zero to four. A parabola is drawn in black with vertex at the origin and going through the points
\((1,1)\) and
\((-1,1)\text{.}\) The slider at the top of the figure changes the location of a point highlighted on the parabola. At the highlighted point, a blue circle is drawn such that the circle is curved in the same way as the parabola at the highlighted point and intersects the parabola at only the highlighted point.