How do you write the correct equation that fits the parabola?

1 Answer
May 23, 2018

Find the vertices and any off-sets from the origin.

Explanation:

In algebra, dealing with parabolas usually means graphing quadratics or finding the max/min points (that is, the vertices) of parabolas for quadratic word problems.

To form a parabola according to ancient Greek definitions, you would start with a line and a point off to one side. The line is called the "directrix"; the point is called the "focus".

An excellent continuation of this procedure with illustrative graphs is here:
http://www.purplemath.com/modules/parabola.htm

See also:
https://www.mathsisfun.com/geometry/parabola.html