The standard form of the equation for a parabola is y = ax^2 + bx + c. A parabola is the set of all points in a plane that are equidistant from a given line and a given point not on the line.
Continue ReadingThe given point is on the axis of symmetry, which is the vertical line that has exactly half of the parabola on either side; it has the equation x = -b/2a. In the standard form of the equation, "a" determines whether the parabola opens up or down. If a > 0 the parabola opens up, and if a < 0 it opens down. If b = 0, then "c" is the shift of the parabola up or down from the x-axis.
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