Quadratics Vocabulary

Jamie Kimbrell

Parabola

The shape of the graph of a quadratic equation. An example is the path of a baseball.

Quadratic

An equation with four terms that can be written as ax^2+bx+c=d. An example is the trajectory of a basketball when it is shot.

Vertex

A quadratic function written in the form f(x)=a(x-h)^2+k where a, h, and k are all constants and (h,k) is the vertex; the points of symmetry. An example is the middle of a rainbow from earth.


Axis of Symmetry

A line that divides a parabola into two symmetrical halves. An example would be the trajectory of a dolphin's jump.

Maximum Value

The y-value of the vertex when a parabola opens downward. An example is the point at the base of a roller coaster.

Minimum Value

The y-value of the vertex when the parabola opens upward. An example is the peak of the mountain.


Terms

The parts of an expression that are manipulated.


First Differences

The differences between y-values or a function for evenly spaced x-values. The amount of spaces between each bird sitting on the power lines.


Second Differences

Differences between the first differences of a function. An example is the amount of space between two lines such as the space between television cables that intersect.

Zeros(Roots)

The coordinates of the points where the segment intercepts the x axis. An example is an intersection.