#### Study sets matching "quadratic functions calculus"

#### Study sets matching "quadratic functions calculus"

X of the Vertex

Y of the Vertex

Y intercept

X intercept

-b/2a

plug in x of the vertex and solve equation

Solve equation when x = 0

Solve equation with factoring, quadratic formula or completin…

X of the Vertex

-b/2a

Y of the Vertex

plug in x of the vertex and solve equation

Quadratic Function

Parabola

Vertex

Axis of Symmetry

A function whose input is squared. This means there will be t…

A symmetrical curve formed by a quadratic function.

The input that yields the minimum or maximum output value of…

A vertical line (x=a) that divides a parabola into two symmet…

Quadratic Function

A function whose input is squared. This means there will be t…

Parabola

A symmetrical curve formed by a quadratic function.

Quadratic Equation

Quadratic Parent Function

Axis of Symmetry

Roots

An equation where the highest power is 2

a vertical line that divides the parabola into two congruent…

Another name for the solutions of a quadratic equation.

Quadratic Equation

An equation where the highest power is 2

Quadratic Parent Function

Function

Input

Output

Function Notation

A relationship where each input (independent variable) has ex…

The independent variable used to evaluate a function at a spe…

The result obtained by entering an input into a function. The…

An equation written as f(x) to represent the output.

Function

A relationship where each input (independent variable) has ex…

Input

The independent variable used to evaluate a function at a spe…

Quadratic Function

Parabola

Vertex

Axis Of Symmetry

a function that can be written in the form f(x)=ax^2+bx+c, wh…

a plane curve formed by the intersection of a right circular…

the point of intersection of lines or the point opposite the…

A line that divides a figure in half so that each half is the…

Quadratic Function

a function that can be written in the form f(x)=ax^2+bx+c, wh…

Parabola

a plane curve formed by the intersection of a right circular…

parabola

quadratic function

vertex of a parabola

roots of a quadratic function

the graph of a quadratic function

an equation, graph or data that can be modeled by a degree tw…

the point where a parabola makes a turn

solution to a quadratic equation when it is set equal to zero…

parabola

the graph of a quadratic function

quadratic function

an equation, graph or data that can be modeled by a degree tw…

factor

coefficient

monomial

binomial

the opposite of the distributive property

A number multiplied by a variable in an algebraic expression.

an algebraic expression with only one term

an algebraic expression with two terms

factor

the opposite of the distributive property

coefficient

A number multiplied by a variable in an algebraic expression.

axis of symmetry

maximum

minimum

parabola

A line that divides a plane figure into two... congruent reflect…

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

The y-value of the lowest point on the graph of the function.

The shape of the graph of a quadratic function.

axis of symmetry

A line that divides a plane figure into two... congruent reflect…

maximum

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

Factor

Prime

Standard Form for a Quadratic

Factored Form for a Quadratic

To break up into numbers or expressions that multiply togethe…

A number or expression that can only be divided by 1 and itse…

Factor

To break up into numbers or expressions that multiply togethe…

Prime

A number or expression that can only be divided by 1 and itse…

Use the equation x=-b/2a. ... The axis of…

1. You could set one side of the equat…

1. Find the x-coordinate of the vertex…

The vertex is opposite h and k. (-h, k)

If the quadratic function is in standard form, how do you fin…

How would you solve for x?

How do you find maximum/minimum value of a quadratic function…

How do you find the vertex of a quadratic function in vertex…

Use the equation x=-b/2a. ... The axis of…

If the quadratic function is in standard form, how do you fin…

1. You could set one side of the equat…

How would you solve for x?

Quadratic Function

Parabola

Parent Function

Vertex

a function that can be written in the form f(x)=ax^2+bx+c, wh…

a plane curve formed by the intersection of a right circular…

the most basic function of a family of functions, or the orig…

the point of intersection of lines or the point opposite the…

Quadratic Function

a function that can be written in the form f(x)=ax^2+bx+c, wh…

Parabola

a plane curve formed by the intersection of a right circular…

Axis of Symmetry

How do you find Axis of Symmetry in a…

In Vertex form of a quadratic function…

Maximum/minimum value of a function

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

It is the vertical line through the x coordinate of the verte…

(h,k)

The y-value of the highest/lowest point on the graph of the f…

Axis of Symmetry

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

How do you find Axis of Symmetry in a…

It is the vertical line through the x coordinate of the verte…

Parabola

Parent Function

Vertex

Axis Of Symmetry

a plane curve formed by the intersection of a right circular…

the most basic function of a family of functions, or the orig…

the point of intersection of lines or the point opposite the…

The vertical line that cuts through the vertex of a parabola,…

Parabola

a plane curve formed by the intersection of a right circular…

Parent Function

the most basic function of a family of functions, or the orig…

function

domain

range

Sketches and Graphs

A relationship from one set (called the domain) to another se…

The set of all possible input values of a function.

The set of all possible output values of a function.

A sketch is a roughly drawn (but still neat) diagram that sho…

function

A relationship from one set (called the domain) to another se…

domain

The set of all possible input values of a function.

Quadratic Function

Parabola

Vertex

Axis Of Symmetry

a function that can be written in the form f(x)=ax^2+bx+c, wh…

a plane curve formed by the intersection of a right circular…

the point of intersection of lines or the point opposite the…

A line that divides a figure in half so that each half is the…

Quadratic Function

a function that can be written in the form f(x)=ax^2+bx+c, wh…

Parabola

a plane curve formed by the intersection of a right circular…

Quadratic Function

Parabola

Parent Function

Vertex

a function that can be written in the form f(x)=ax^2+bx+c, wh…

a plane curve formed by the intersection of a right circular…

the most basic function of a family of functions, or the orig…

the point of intersection of lines or the point opposite the…

Quadratic Function

a function that can be written in the form f(x)=ax^2+bx+c, wh…

Parabola

a plane curve formed by the intersection of a right circular…

Quadratic Function

Parabola

Parent Function

Vertex

a function that can be written in the form f(x)=ax^2+bx+c, wh…

a plane curve formed by the intersection of a right circular…

the most basic function of a family of functions, or the orig…

the point of intersection of lines or the point opposite the…

Quadratic Function

a function that can be written in the form f(x)=ax^2+bx+c, wh…

Parabola

a plane curve formed by the intersection of a right circular…

Factor

Prime

Standard Form for a Quadratic

Factored Form for a Quadratic

To break up into numbers or expressions that multiply togethe…

A number or expression that can only be divided by 1 and itse…

Factor

To break up into numbers or expressions that multiply togethe…

Prime

A number or expression that can only be divided by 1 and itse…

Input

Output

Function Notation

Domain

The independent variable used to evaluate a function at a spe…

The result obtained by entering an input into a function. The…

An equation written as f(x) to represent the output.

The set of input values of a function.

Input

The independent variable used to evaluate a function at a spe…

Output

The result obtained by entering an input into a function. The…

function

domain

range

Sketches and Graphs

A relationship from one set (called the domain) to another se…

The set of all possible input values of a function.

The set of all possible output values of a function.

A sketch is a roughly drawn (but still neat) diagram that sho…

function

A relationship from one set (called the domain) to another se…

domain

The set of all possible input values of a function.

parabola

quadratic function

vertex of a parabola

roots of a quadratic function

the graph of a quadratic function

an equation, graph or data that can be modeled by a degree tw…

the point where a parabola makes a turn

solution to a quadratic equation when it is set equal to zero…

parabola

the graph of a quadratic function

quadratic function

an equation, graph or data that can be modeled by a degree tw…

Parabola

Vertex

Minimum

Maximum

The shape of the graph of a quadratic function

The highest or lowest point on a parabola

The y-value of the lowest point on the graph of a function.

The y-value of the highest point on the graph of a function.

Parabola

The shape of the graph of a quadratic function

Vertex

The highest or lowest point on a parabola

Roots

Vertex

Concavity

Quadratic Formula

Where the graph crosses the x-axis.... Where the y-value is 0.... A…

Maximum or minimum point.... Turning point.

Concave up - min - happy parabola... Concave down - max - sad pa…

Roots

Where the graph crosses the x-axis.... Where the y-value is 0.... A…

Vertex

Maximum or minimum point.... Turning point.

Function

Input

Output

Function Notation

A relationship where each input (independent variable) has ex…

The independent variable used to evaluate a function at a spe…

The result obtained by entering an input into a function. The…

An equation written as f(x) to represent the output.

Function

A relationship where each input (independent variable) has ex…

Input

The independent variable used to evaluate a function at a spe…

axis of symmetry

correlation coefficient (r-factor)

maximum

minimum

the vertical line that divides the parabola into two symmetri…

a number from -1 to 1 that tells how close the equation of th…

the y-coordinate of the vertex of the graph of f(x) = ax^2 +…

the y-coordinate of the vertex of the graph of f(x) = ax^2 +…

axis of symmetry

the vertical line that divides the parabola into two symmetri…

correlation coefficient (r-factor)

a number from -1 to 1 that tells how close the equation of th…

Polynomials

Inflection Point

Systems of Equations

Quadratic Formula

an expression of more than 2 algebraic terms.

the point where the slope goes from increasing to decreasing

A set of two or more equations containing a set of common var…

x = -b ± √(b² - 4ac)/2a

Polynomials

an expression of more than 2 algebraic terms.

Inflection Point

the point where the slope goes from increasing to decreasing

Quadratic Equation

Quadratic Parent Function

Axis of Symmetry

Roots

An equation where the highest power is 2

a vertical line that divides the parabola into two congruent…

Another name for the solutions of a quadratic equation.

Quadratic Equation

An equation where the highest power is 2

Quadratic Parent Function

Roots

Zeros

x-intercept

y- intercept

The x values where the graph crosses the x axis. (the y value…

The x values where the graph crosses the x axis. (the y value…

The coordinate where the graph crosses the x-axis (x, 0)

The coordinate where the graph crosses the y-axis (0,y)

Roots

The x values where the graph crosses the x axis. (the y value…

Zeros

The x values where the graph crosses the x axis. (the y value…

factor

coefficient

monomial

binomial

the opposite of the distributive property

A number multiplied by a variable in an algebraic expression.

an algebraic expression with only one term

an algebraic expression with two terms

factor

the opposite of the distributive property

coefficient

A number multiplied by a variable in an algebraic expression.

axis of symmetry

parabola

quadratic function

quadratic parent function

The fold or line that divides the parabola into two matching…

The graph of a quadratic function that looks like a U-shaped…

A function that can be written in the following form: y = ax^…

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

axis of symmetry

The fold or line that divides the parabola into two matching…

parabola

The graph of a quadratic function that looks like a U-shaped…

Polynomial

Not a Polynomial

Monomial

Binomial

an expression where the exponent is a whole positive number

When there is a fractional or negative exponent

A polynomial with one term

A polynomial with two terms

Polynomial

an expression where the exponent is a whole positive number

Not a Polynomial

When there is a fractional or negative exponent

Quadratic Function

Parabola

Axis of Symmetry

Vertex

Nonlinear equation and can be written in the form f(x)=ax2+bx…

The shape of the graph of a quadratic function

Parabolas are symmetric about a central line

The axis of symmetry intersects a parabola at only one point.…

Quadratic Function

Nonlinear equation and can be written in the form f(x)=ax2+bx…

Parabola

The shape of the graph of a quadratic function

Axis of Symmetry

Maximum

Minimum

Parabola

The line, usually in the form of x=#, that divides the graph…

The vertex of a parabola when it is the highest point on the…

The vertex of a parabola when it is the lowest point on the g…

The shape of the graph of a quadratic function.

Axis of Symmetry

The line, usually in the form of x=#, that divides the graph…

Maximum

The vertex of a parabola when it is the highest point on the…

Quadratic functions

Parabola

Vertex

Minimum

y=ax²+bx+c where a,b and c are real numbers and a≠0

A quadratic function curve

The highest or lowest point on a parabola

If a>0, the parabola opens upwards and this is the y value of…

Quadratic functions

y=ax²+bx+c where a,b and c are real numbers and a≠0

Parabola

A quadratic function curve

y= 2⁄3 x + 5 ← linear ... ↑ ↑... slope y-int

y= x² + 7

√𝐱 = x ½

y= √𝐱+1 ← square root means it's neither

Exponent of 1 makes it linear

Exponent of 2 makes it quadratic

...

...

y= 2⁄3 x + 5 ← linear ... ↑ ↑... slope y-int

Exponent of 1 makes it linear

y= x² + 7

Exponent of 2 makes it quadratic

vertex

axis of symmetry

domain

range

the highest or lowest point on the parabola

imaginary line that divides a parabola into two symmetric sides

x-values for which the parabola exists

y-values for which the parabola exists

vertex

the highest or lowest point on the parabola

axis of symmetry

imaginary line that divides a parabola into two symmetric sides

Quadratic Function

Shape of Quadratic's

4 Ways to solve Quadratics

Minimum

Can be written in the form y=ax^2+bx+c

Parabola like a U shaped

Graph, Factoring, Square Root, Quadratic Function

Parabola opens up (vertex)

Quadratic Function

Can be written in the form y=ax^2+bx+c

Shape of Quadratic's

Parabola like a U shaped

Binomial

Constant

Degree of a Monomial

Degree of a Polynomial

Sum or difference of two monomials (it has two unlike terms w…

A term that has no variable factor; has a degree of zero

The sum of the exponents of the variables

The largest degree of the monomial terms of a polynomial

Binomial

Sum or difference of two monomials (it has two unlike terms w…

Constant

A term that has no variable factor; has a degree of zero

Quadratic Function

Parabola

Vertex

Line of Symmetry

has the form y = ax ^2 + bx +c where a cannot equal 0.

the graph of a quadratic function is U-shaped.

the lowest or highest point on the graph of a quadratic funct…

the vertical line through the vertex.

Quadratic Function

has the form y = ax ^2 + bx +c where a cannot equal 0.

Parabola

the graph of a quadratic function is U-shaped.

parabola

quadratic function

vertex of a parabola

roots of a quadratic function

the graph of a quadratic function

an equation, graph or data that can be modeled by a degree tw…

the point where a parabola makes a turn

solution to a quadratic equation when it is set equal to zero…

parabola

the graph of a quadratic function

quadratic function

an equation, graph or data that can be modeled by a degree tw…

parabola

intercepts

x-intercept

y-intercept

U-shaped graph

Point of a graph where the line/curve hits the x- or y- axis

of a quadratic function where the parabola intersects the x-a…

of a quadratic function where the parabola intersects the y-a…

parabola

U-shaped graph

intercepts

Point of a graph where the line/curve hits the x- or y- axis