# 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

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]

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 function

standard form

parabola

axis of symmetry

non linear functions written in the form ... f(x) = ax^2 + bx + c

y=ax^2+bx+c

the shape of the graph of a quadratic function

central line

quadratic function

non linear functions written in the form ... f(x) = ax^2 + bx + c

standard form

y=ax^2+bx+c

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

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.

degree of a monomial

standard form of a polynomial

monomial

binomial

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

The form of a polynomial that places the terms in descending o…

A number, a variable, or a product of a number and one or more…

A polynomial with two terms.

degree of a monomial

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

standard form of a polynomial

The form of a polynomial that places the terms in descending o…

Factor (noun)

Product

prime factorization

prime number

A number that is multiplied by another number to get a product

The answer to a multiplication problem

a number written as the product of its prime factors

A whole number greater than 0 that has exactly two different f…

Factor (noun)

A number that is multiplied by another number to get a product

Product

The answer to a multiplication problem

Base

Composite number

Exponent

Factor

The number that is repeatedly multiplied in a power.

A number that has more than two factors

The number in a power that indicates the number of times a bas…

The things that you multiply in math.

Base

The number that is repeatedly multiplied in a power.

Composite number

A number that has more than two factors

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…

completing the square

conjugate

Counter examples

discriminant

to add a constant C to an expression of the form x^2+bx so tha…

an unproven statement about a general mathematical concept

an example that proves that a general statement is not true

The expression b^2-4ac in the quadratic formula

completing the square

to add a constant C to an expression of the form x^2+bx so tha…

conjugate

an unproven statement about a general mathematical concept

Quadric function

parabola

axis of symmetry

Vertex

Nonlinear functuons that can be written in form : (see picture)

The shape of the graph of a quadratic function

the vertical line containing the vertex of a parabola

The point where the axis of symmetry intersects the parabola

Quadric function

Nonlinear functuons that can be written in form : (see picture)

parabola

The shape of the graph of a quadratic function

quadratic function (standard form of a…

quadratic parent function

parabola

axis of symmetry

is a function that can be written in the form y=ax^2 + bx + c,…

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

the U-shaped graph of a quadratic function

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

quadratic function (standard form of a…

is a function that can be written in the form y=ax^2 + bx + c,…

quadratic parent function

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

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

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

Quadratic functions

standard form of a quadratic function

parabola

axis of symmetry

nonlinear functions whose degree is two

ax^2 + bx + c = 0

the shape of the graph of a quadratic function

the central line about which a parabola is symmetric

Quadratic functions

nonlinear functions whose degree is two

standard form of a quadratic function

ax^2 + bx + c = 0

quadratic function

parabola

parent quadratic function

vertex

a nonlinear function that can be written in the standard from…

the u shaped graph of a quadratic function

the function y=x^2, which is the most basic function in the fa…

the lowest or highest point of a parabola

quadratic function

a nonlinear function that can be written in the standard from…

parabola

the u shaped graph of a quadratic function

quadratic function

parabola

linear function

vertex

is a function that can be written in the form y=ax^2 + bx + c,…

the graph of a quadratic function

a function (equation) whose graph is a straight line... y=mx+b

the lowest or highest point of a quadratic where it turns

quadratic function

is a function that can be written in the form y=ax^2 + bx + c,…

parabola

the graph of a quadratic 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

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

axis of symmetry

completing the square

discriminant

maximum

the line that divides a parabola into two matching halves

the process of changing the expression x^2 +bx into a perfect-…

b^2 -4ac, used to find the number and type of solutions of a q…

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

axis of symmetry

the line that divides a parabola into two matching halves

completing the square

the process of changing the expression x^2 +bx into a perfect-…

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

minimum

maximum

double root

standard form

the lowest point on a graph of a curve

the highest point of a graph of a curve

the roots of a quadratic function that are the same number

the standard form of a linear equation is Ax + By=C, where A i…

minimum

the lowest point on a graph of a curve

maximum

the highest point of a graph of a curve

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.