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The minimum point is the point where it is the lowest on the graph. It is an opens down graph.

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The line of symmetry is the line that divides a parabola down the center. Each point on one side of the line will be symmetrical on the other side. Can also be known as the axis of symmetry.

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A vertex is the maximum or minimum point which is on the line of symmetry.

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The direction where the parabola opens toward and the direction the two lines are going in. If it is a parabola that opens up, there will be a minimum point and if the parabola opens down, there will be a maximum point.

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Sometimes the parabola does not cross through one axis like the one below because the minimum point is above the x axis so it can't cross through it. However, all parabolas touch the y axis because it keeps on expanding out that at one point, the line will have to reach the y axis.

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Origin is the x/y intercept (0,0) and sometimes the parabola does not cross through the origin. The parabola can go through the origin if the line of symmetry is the y axis. For example: y=(x+0)(x-0)

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The maximum is the point where it is the highest on the graph than the other points. It would be in a graph that opens down and is also a vertex. This is also the maximum area in a rectangle or the maximum value in any equation.