Chapter 9-10 Flashcards
(28 cards)
A function written as f(x)=|x|, in which f(x)_>_0 for all values of x
Absolute Value Function
The vertical line containing the vertex of a parabola
Axis of Symmetry
To add a constant term to a binomial of the form x^2 + bx so that the resulting trinomial is a perfect square
Completing the Square
A transformation that alters the size of a figure but not its shape
Dilation
In the quadratic formula, the expression under the radical sign, b^2-4ac
Discriminant
The roots of a quadratic function that are the same number
Double Root
A step function, written as f(x)=[[x]], where f(x) is the greatest integer less than or equal to x
Greatest Integer Function
The highest point on the graph of a curve
Maximum
The lowest point of a graph of a curve
Minimum
The graph of a quadratic function
Parabola
A function that is written using two or more expressions
Piecewise-Defined Function
A function written using two or more linear expressions
Piecewise-Linear Function
The solutions of a quadratic equation in the form ax^2+bx+c=0, where a does not equal 0, are given by the formula (big square root thing divided by 2a)
Quadratic Formula
An equation of the form y=ax^2+bx+c, where a does no equal 0
Quadratic Function
A transformation where a figure, line, or curve is flipped across a line
Reflection
f(x)=ax^2+bx+c=0, where a does not equal 0
Standard Form
A function with a graph that is a series of horizontal line segments
Step Function
A movement of a geometric sequence
Transformation
Where a figure is slid from one position to another without being turned
Translation
The maximum or minimum point of a parabola
Vertex
Function that contains the square root of a variable
Square root function
A function that contains radicals with variables in the radicand
Radical Function
The expression that is under the radical sign
Radicand
An expression that contains a square root
Radical Expression