# Study sets matching "algebra chapter 9 problem"

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"How long is it in the air"

"How long until it hits the ground"

"How long until at maximum height"

"What is the maximum height"

-Find the zeros/ roots ... -Use the quadratic formula

-Find the zeros/ roots ... -Use the quadratic formula

Find the axis of symmetry

Find the y at the vertex

"How long is it in the air"

-Find the zeros/ roots ... -Use the quadratic formula

"How long until it hits the ground"

-Find the zeros/ roots ... -Use the quadratic formula

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

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

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.

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 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

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

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…

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

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.

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

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…

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

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

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…

absolute value function

axis of symmetry

common ration

completing the square

A function written as f(x) = [x], in which f(x) >0 for all val…

The vertical line containing the vertex of a parabola

The ratio of successive terms of a geometric sequence

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

absolute value function

A function written as f(x) = [x], in which f(x) >0 for all val…

axis of symmetry

The vertical line containing the vertex of a parabola

Axis of Symmetry

Completing the Square

Discriminant

Maximum

a straight line for which every point on a given curve has cor…

a technique used to solve quadratic equations, graph quadratic…

a function of the coefficients of a polynomial equation whose…

the value of a function at a certain point in its domain, whic…

Axis of Symmetry

a straight line for which every point on a given curve has cor…

Completing the Square

a technique used to solve quadratic equations, graph quadratic…

axis of symmetry

completing the square

discriminant

maximum

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

a process used to form a perfect square trinomial. To complete…

the _________ of the quadratic equation ax^2 +bx +c =0 is b^2…

the y-value of the highest point on the graph of the function

axis of symmetry

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

completing the square

a process used to form a perfect square trinomial. To complete…

Discriminant

Completing the Square

Quadratic Equation

Zero of a Function

A formula (b² - 4ac) that will help find the number of possibl…

When an extra term is added to the binomial x² + bx to make a…

A equation that can be written in the standard form ax² + bx +…

An x-value that makes the function equal to zero or the x-inte…

Discriminant

A formula (b² - 4ac) that will help find the number of possibl…

Completing the Square

When an extra term is added to the binomial x² + bx to make a…

quadratic function

parabola

vertex

minimum

any function that can be written in the standard form y = a x…

The graph of a quadratic function is a curve

The highest or lowest point on a parabola

If a > 0, the parabola opens upward, and the y-value of the ve…

quadratic function

any function that can be written in the standard form y = a x…

parabola

The graph of a quadratic function is a curve