# 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

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

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

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 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]

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…

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

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.

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 +…

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

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 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

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…

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

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

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

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

common ratio

compound interest

exponential decay

exponential function

In a geometric sequence, the constant ration of any term and t…

Interest earned or paid on both the principal and previously e…

An exponential function of the form f(x)=ab in which 0<b<1. if…

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

common ratio

In a geometric sequence, the constant ration of any term and t…

compound interest

Interest earned or paid on both the principal and previously e…

adjacent angles

alternate interior angles

angle bisector

complementary

Angles that have a common side and a common vertex (corner poi…

If two parallel lines are cut by a transversal, then the alter…

a ray that divides an angle into two congruent angles

Two angles whose sum is 90 degrees

adjacent angles

Angles that have a common side and a common vertex (corner poi…

alternate interior angles

If two parallel lines are cut by a transversal, then the alter…

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…