# Math Definitions

## Parabola

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

Involving the second and no higher power of an unknown quantity or variable.

## Vertex

Each angular point of a polygon, polyhedron, or other figure.

## axis of symmetry

A line through a shape so that each side is a mirror image.

If the shape were to be folded in half along the axis of symmetry, then the two halves would be the same, they would match up.

## Maximum value

The maximum value of a quadratic function f(x) = ax2 + bx + c where a< 0,="" is="" the="">y- coordinate of the vertex.

## Minimum value

The minimum value of a quadratic function f(x) = ax2 + bx + c where a > 0, is the y- coordinate of the vertex.

## Terms

In Algebra a term is either:
a single number, or
a variable, or
numbers and variables multiplied together.

## First differences

A finite difference is a mathematical expression of the form f−f. If a finite difference is divided by b−a, one gets a difference quotient.

## Second differences

For a sequence defined by a quadratic formula, the second differences will be constant and equal to twice the number of n2 .

## zeros(roots)

Where a function equals the value zero (0).