# Vocabulary

### Quadratics Chapter 9

## parabola

***a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side**

If you kick a soccer ball it will arc up into the air and come down again like the shape a parabola makes

## quadratic

***involving the second and no higher power of an unknown quantity or variable**

http://www.mathsisfun.com/algebra/quadratic-equation-real-world.html

^examples

## vertex

***each angular point of a polygon, polyhedron, or other figure**

A quadrilateral has 4 vertexes that are the four corners of the quadrilateral. They make up the shape.

## axis of symmetry

***a vertical line that divides the parabola into two congruent halves; it always passes through the vertex of the parabola**

If you had a paper heart and it 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

***Maximum Value: The maximum value of a quadratic function**

*f(x) = ax2 + bx + c*where*a*< 0,="" is="" the="">*y*- coordinate of the vertex.If you were a skater and you were at the top of the half pipe, you would be standing at the maximum of the parabola that is the half pipe.

## minimum value

***Minimum Value: The minimum value of a quadratic function**

*f(x) = ax2 + bx + c*where*a*> 0, is the*y*- coordinate of the vertex.If you were a skater and you were skating at the lowest point of the half pipe, you would be standing at the minimum of the parabola that is the half pipe.

## term

***each of the quantities in a ratio, series, or mathematical expression**

The number 5 goes and gets into the first slot of the term, then an addition sign joins in. After that, an 8 comes into the slot after the addition sign. An equal sign comes next, then the number 13 which is also the answer.

## first differences

## second differences

*** http://www.cimt.plymouth.ac.uk/projects/mepres/book9/bk9i10/bk9_10i3.html**

^examples and definition

## zeros (roots)

***Algebraically, a root or a zero is the solution to an equation**

Three guys want to split 18 dollars so how much does each person get. The equation is then 3 x = 18 which is really 3x - 18 = 0 or 3x - 18 = y when y = 0