Graphing equations creates a visual representation of a function. The reverse is also true,
in that functions can be found that represent shapes. Geometry frequently uses mathematical
functions to represent shapes, because those mathematical functions may be manipulated to
determine shape properties, relationships between properties within a shape, and
relationships between shapes.
This video may be used as a refresher for graphing equations:
Graphing Equations is also useful for predictions determining the
relationship between different factors in real life. For example, one may plot the time spent
studying on one axis and the grades achieved on another access, and create a relationship that
shows the amount of effort required to get better grades in class.