# Study sets matching "algebra chapter 9"

Axis of Symmetry

Completing the Square

Dilation

Discriminant

The vertical line containing the vertex of a parabola.

To add a constant term to a binomial of the form x2 + bx so th…

A transformation that alters the size of a figure but not its…

In the Quadratic Formula, the expression under the radical sig…

Axis of Symmetry

The vertical line containing the vertex of a parabola.

Completing the Square

To add a constant term to a binomial of the form x2 + bx so th…

axis of symmetry

maximum point

minimum point

parabola

a line that divides a plane figure or a graph into two congrue…

the vertex of a parabola that opens downwards.

the vertex of a parabola that opens upwards.

the graph of a quadratic function that forms a U-shaped curve.

axis of symmetry

a line that divides a plane figure or a graph into two congrue…

maximum point

the vertex of a parabola that opens downwards.

Quadratic Equation

Axis of Symmetry

Discriminant

Maximum

an equation that can be written in the standard form ax^2+bx+c…

the line that divides the parabola into two matching halves

determines the number of solutions of the equations

the y-coordinate of the vertex of a parabola that opens downwa…

Quadratic Equation

an equation that can be written in the standard form ax^2+bx+c…

Axis of Symmetry

the line that divides the parabola into two matching halves

arithmetic sequence

arithmetic series

common difference

common ratio

a sequence where the difference between consecutive terms is c…

a series whose terms form an arithmetic sequence. [p. 587]... fi…

the difference between consecutive terms within an arithmetic…

the ratio between two consecutive terms in a geometric series,…

arithmetic sequence

a sequence where the difference between consecutive terms is c…

arithmetic series

a series whose terms form an arithmetic sequence. [p. 587]... fi…

axis of symmetry

maximum point

minimum point

parabola

a line that divides a plane figure or a graph into two congrue…

the vertex of a parabola that opens downwards.

the vertex of a parabola that opens upwards.

the graph of a quadratic function that forms a U-shaped curve.

axis of symmetry

a line that divides a plane figure or a graph into two congrue…

maximum point

the vertex of a parabola that opens downwards.

axis of symmetry

completing the square

discriminant

maximum

a line that divides a figure or line in half so that each half…

a process used to form a perfect square trinomial. [p. 576]

the expression within the radical sign of the quadratic formul…

the greatest possible amount. [p. 547]

axis of symmetry

a line that divides a figure or line in half so that each half…

completing the square

a process used to form a perfect square trinomial. [p. 576]

center of a circle

center of an ellipse

circle

conjugate axis

the point from which all points on a circle are equidistant

the point at which the major axis and minor axis of an ellipse…

the set of all points in a plane that are equidistant from a g…

the segment of length 2b units in a hyperbola

center of a circle

the point from which all points on a circle are equidistant

center of an ellipse

the point at which the major axis and minor axis of an ellipse…

quadratic function

standard form of a quadratic function

quadratic parent function

parabola

A function of the form y = ax^2 + bx + c, where a does not equ…

f(x) = ax^2 + bx + c

The simplest quadratic function f (x) = x^2 or y = x^2.

the graph of a quadratic function

quadratic function

A function of the form y = ax^2 + bx + c, where a does not equ…

standard form of a quadratic function

f(x) = ax^2 + bx + c

axis of symmetry

completing the square

discriminant

maximum

a line that divides a figure or line in half so that each half…

a process used to form a perfect square trinomial. [p. 576]

the expression within the radical sign of the quadratic formul…

the greatest possible amount. [p. 547]

axis of symmetry

a line that divides a figure or line in half so that each half…

completing the square

a process used to form a perfect square trinomial. [p. 576]

relation

domain

range

function

a set of ordered pairs

All of the input or x values in a relation or function

All of the output or y values of a relation or function

A relation where each input (x) has exactly one output (y)

relation

a set of ordered pairs

domain

All of the input or x values in a relation or function

Monomial

Degree of monomial

Polynomial

Degree of polynomial

number, variable, or the product of a number and one or more v…

sum of the exponents of the variables in the monomial

sum or difference of monomials

greatest degree of its terms

Monomial

number, variable, or the product of a number and one or more v…

Degree of monomial

sum of the exponents of the variables in the monomial

Quadratic Function

Parabola

Axis of Symmetry

Vertex

Form where y= ax² + bx + c where a ≠ 0

Graph of a quadratic function

Imaginary line used to fold in symmetry of a parabola

Maximum or minimum point of a parabola

Quadratic Function

Form where y= ax² + bx + c where a ≠ 0

Parabola

Graph of a quadratic function

Quadratic function

Standard form of a quadratic function

Quadratic parent function

Parabola

A function of the form y = ax2 + bx + c, where a is not equal…

The standard form of a quadratic function is f(x) = ax2 + bx +…

The simplest quadratic function f(x) = x2 or y = x2.

The graph of a quadratic function.

Quadratic function

A function of the form y = ax2 + bx + c, where a is not equal…

Standard form of a quadratic function

The standard form of a quadratic function is f(x) = ax2 + bx +…

Geometric sequence

Common ratio

Exponential function

Exponential growth

A sequence, in which the ratio of successive terms is a consta…

The relationship between the terms in a geometric sequence. It…

a function of the form f(x) = ab^x, where a and b are real num…

An exponential function of the form f(x) = ab^x in which b>1.…

Geometric sequence

A sequence, in which the ratio of successive terms is a consta…

Common ratio

The relationship between the terms in a geometric sequence. It…

Zero Product Property

Quadratic Equation

Completing the Square

System of Inequalities

states that when the product of two or more factors is zero, o…

An equation that can be written in the form ax2 + bx + c = 0

to convert a quadratic equation in standard form into perfect…

is a set of inequalities with the same variables.

Zero Product Property

states that when the product of two or more factors is zero, o…

Quadratic Equation

An equation that can be written in the form ax2 + bx + c = 0

Standard Form of a quadratic FUNCTION

parabola

Axis of Symmetry

Vertex

f(x) = ax^2 + bx + c

the shape that is formed by a quadratic function

the central line of a parabola

the point where the parabola crosses the axis of symmetry

Standard Form of a quadratic FUNCTION

f(x) = ax^2 + bx + c

parabola

the shape that is formed by a quadratic function

Radicands

Rational Number

Irrational Number

Radical Sign

The numbers under the square roots.

Any number that can be written as a ratio of two integers. The…

Any number that is NOT rational or CANNOT be written as the ra…

In a problem indicates that a root of a number under "radical"…

Radicands

The numbers under the square roots.

Rational Number

Any number that can be written as a ratio of two integers. The…

Data

Statistics

Mean

Mode

Information gathered from surveys or experiments

The study of collecting and organizing data

Sum of the data divided by the number of data; also called ave…

Number or numbers that appear most often in a set of data

Data

Information gathered from surveys or experiments

Statistics

The study of collecting and organizing data

sequence

term of a sequence

explicit formula

recursive formula

an ordered list of numbers.

each individual number in a pattern.

a formula that express the nth term of a sequence in terms of…

defines terms of a sequence by relating each term to the one b…

sequence

an ordered list of numbers.

term of a sequence

each individual number in a pattern.

dependent variable

independent variable

sequence

linear equation

the variable in relation with a value that depends on the valu…

the variable in a function with a value that is subject to cho…

an ordered list of numbers, such as, 0,1,2,3 or 2,4,6,8

an equation in which the variables appear in separate terms an…

dependent variable

the variable in relation with a value that depends on the valu…

independent variable

the variable in a function with a value that is subject to cho…

Complement

Compound event

Counting principle

Dependent events

The complement of an event is the collection of outcomes not c…

A compound event is an event that consists of two or more even…

Suppose there are m ways of making one choice and n ways of ma…

Two events are dependent events if the occurrence of one event…

Complement

The complement of an event is the collection of outcomes not c…

Compound event

A compound event is an event that consists of two or more even…

exponential growth vs. decay

exponential properties

continuously compounded interest formula

continuous change model

growth: b= 1 + r... decay: b= 1 -r

1. domain: all real numbers... 2. range: all positive real numbe…

P: amount invested... r: interest rate... t: years

N(t)= No e^rt... a: No... b: e^r... x: t

exponential growth vs. decay

growth: b= 1 + r... decay: b= 1 -r

exponential properties

1. domain: all real numbers... 2. range: all positive real numbe…

axis of symmetry

maximum point

minimum point

parabola

a line that divides a plane figure or a graph into two congrue…

the vertex of a parabola that opens downwards.

the vertex of a parabola that opens upwards.

the graph of a quadratic function that forms a U-shaped curve.

axis of symmetry

a line that divides a plane figure or a graph into two congrue…

maximum point

the vertex of a parabola that opens downwards.

With exponents how can you find the are…

With exponents how can you find the vol…

How do you put a number into scientific…

What are the Order Of Operations?

Take the length of the side and square it.

Take one of the sides and cube it.

Move the decimal point to the left until the number is between…

1.Powers are calculated first from left to right.... 2.Multiplica…

With exponents how can you find the are…

Take the length of the side and square it.

With exponents how can you find the vol…

Take one of the sides and cube it.