# Study sets matching "algebra chapter 9"

Study sets

Diagrams

Classes

Users

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…

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

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…

Monomial

Degree of a Monomial

Polynomial

Degree of a Polynomial

A number, variable, or the product of numbers and variables wi…

The sum of the exponents of the variables in a monomial.

A monomial or sum of monomials, each called a term of the poly…

The greatest degree of its terms.

Monomial

A number, variable, or the product of numbers and variables wi…

Degree of a Monomial

The sum of the exponents of the variables in a monomial.

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]

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

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

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…

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

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 +…

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…

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

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

square

perfect square

square root

quadratic equation

The product of a number multiplied by itself. ... 4²=16

a number that is the square of an integer... 16=4²

a number n is a number m such that m²=n

an equation of the form... ax² + bx + c = 0, where a ≠ 0... (an equ…

square

The product of a number multiplied by itself. ... 4²=16

perfect square

a number that is the square of an integer... 16=4²

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…

Quadratic Equation

Quadratic function

Minimum value

Maximum Value

An equation with two variables and can be written in the form…

A function represented by a quadratic equation

The smallest possible y-value, only works when the vertex open…

The greatest possible y-value, only possible if function opens…

Quadratic Equation

An equation with two variables and can be written in the form…

Quadratic function

A function represented by a quadratic equation

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…

graph

complete the square

number line

factoring

represents numerical information spatially

used to convert a quadratic equations in standard form into ve…

a diagram representing all real numbers as points on a number…

to write as a product

graph

represents numerical information spatially

complete the square

used to convert a quadratic equations in standard form into ve…

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.

Axis of Symmetry

Maximum

Minimum

Parabola

the fold or line that divides a parabola in two matching halves

the highest point of the parabola

the lowest point of a parabola

the graph of a quadratic function, a u shaped curve

Axis of Symmetry

the fold or line that divides a parabola in two matching halves

Maximum

the highest point of the parabola

Retirement

Semi-Retired

Pre-Tax Dollars

After-Tax Investment

A specific point in someone's life when he or she stops workin…

They continue to work at a full-time or part-time job out of c…

Retirement accounts that pull from your income before taxes.

Retirement accounts that pull from your income post taxes.

Retirement

A specific point in someone's life when he or she stops workin…

Semi-Retired

They continue to work at a full-time or part-time job out of c…