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Quadratic Function

a function that can be written in the form f(x)=ax^2+bx+c, where a, b & c are real numbers and a is not equal to zero

Parabola

the graph of a quadratic function

vertex

The point where two sides meet. (Shared end points of the line segments of a polygon.)

Axis of Symmetry

a line that divides a parabola in two equal halves and goes through the vertex

Domain

The ______________________ is all the possible INPUT, X, values.

Range

The difference between the greatest number and the least number in a set of data.

vertical shrink

the parabola appears wider when y= ax^2 and the absolute value of a is less than 1

vertical stretch

the parabola appears narrower when y= ax^2 and the absolute value of a is greater than 1

Zero Of a Function

for the function f, any number x such that f(x) = 0; an

translation

It is a transformation that moves points the distance and in the same direction.

Maximum Value

The highest point of a parabola ( when a<0)

Minimum Value

The lowest point of a parabola (when a>0)

independent variable

the tested varaible

dependent variable

the measure of change in the independent variable

Even Function

graph is symmetrical with respect to the y-axis; f(x) = f(-x)

Odd Function

graph is symmetrical with respect to both the x-axis and y-axis; f(-x)=-f(x)

vertex form of a quadratic function

a quadratic function in the form y=a(x-h)^2+k where a≠0

intercept form

a quadratic function written in the form f=a(x-p)(x-q), where a does not equal 0

average rate of change

for nonlinear functions, you can compare over the same interval using the slope of the line through (a, f(a)) and

slope

a measure of the steepness of a line; given two points with coordinates (x1,y1) and (x2,y2) on a line