Quadratics Vocab

By Brett

Parabola

A curve that is shaped like an arch. Any point on it is equal distance from the focus and the directrix.

Example: In the picture the point is equal space from the focus and the directrix.

Quadratic

It is also known as an Quadratic equation it is an equation that the highest exponent is a squared.

Example: 2x2+5x-3=0

Vertex

The minimum and maximum point of the equation.

Example: The picture is an example of a Vertex is on a parabola.

axis of symmetry

It is the line that goes through the vertex. It is like that line of symmetry.

Example: In the picture the axis of symmetry is -6.

Maximum value and Minimum value

Maximum value- The maximum value of a quadratic function

Minimum value- The minimum value of a quadratic function

Example- on the example the maximum value is -5,24 and the minimum value is 0.5,-6.

terms

A polynomial with a degree of 2 or a second degree polynomial because the highest exponent of x is 2.

Example: The greatest exponent is 2 making it follow the terms.

first differences and second differences

First differences are the differences between consecutive y-values.

Second differences are the differences between consecutive first differences.

Example: In the picture the first term it is increasing by 1, then 3, then 5, ect. and the second term is increasing by 2.

zeros(roots)

The zero makes the value of the function equal zero.

Example: In the picture 2-2=0 and f and x both equal zero so x equals 1 since x can't equal 0.