Study sets matching "quadratic functions"

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Study sets matching "quadratic functions"

13 terms
Quadratic Functions
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
31 terms
Quadratic Functions
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…
13 terms
Quadratic Functions
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…
19 terms
Quadratic Functions
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…
Quadratic Functions
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.
15 terms
Quadratic Functions
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.
26 terms
Quadratic Functions
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…
22 terms
Quadratic Functions
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.
15 terms
Quadratic Functions
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…
23 terms
Quadratic Functions
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.
16 terms
Quadratic Functions
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…
18 terms
Quadratic Functions
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 Functions
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…
20 terms
Quadratic Functions
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…
13 terms
Quadratic Functions
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…
19 terms
Quadratic Functions
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…
29 terms
Quadratic Functions
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…
Quadratic Functions
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…
13 terms
Quadratic Functions
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.
6 terms
Quadratic Functions
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
31 terms
Quadratic Functions
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…
9 terms
Quadratic Functions
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…
9 terms
Quadratic Functions
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
13 terms
Quadratic Functions
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
20 terms
Quadratic Functions
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…
20 terms
Quadratic Functions
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 functions
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…
22 terms
Quadratic Functions
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…
18 terms
1A. Quadratic Functions Definitions
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.
Quadratic Functions
Monomial
Binomial
Trinomial
Polynomial
...
...
...
...
Monomial
...
Binomial
...
10 terms
quadratic functions
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
11 terms
Quadratic Functions
Standard Form
Vertex Form
Vertex
Axis of symmetry
f(x)= ax^2 + bx+ c
f(x) = a( x-h )^2 + k
(h,k)
(h)
Standard Form
f(x)= ax^2 + bx+ c
Vertex Form
f(x) = a( x-h )^2 + k
10 terms
Quadratic Functions
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
26 terms
Quadratic Functions
Axis of symmetry
Discrimant
How to solve a quadratic by factoring
Quadratic Formula
Factor.... Set each factor equal to zero.... Solve each.
Axis of symmetry
Discrimant
37 terms
Quadratic Functions
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 Functions
vertex
zeros
axis of symmetry
solutions
(h, k)
x intercepts
x = ?; the vertical line that cuts the parabola in half
zeros of the function
vertex
(h, k)
zeros
x intercepts
26 terms
Quadratic Functions
Axis of symmetry
Discrimant
How to solve a quadratic by factoring
Quadratic Formula
Factor.... Set each factor equal to zero.... Solve each.
Axis of symmetry
Discrimant
15 terms
Quadratic Functions
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…
7 terms
Quadratic Functions.
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
Quadratic Functions
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 Functions
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
Quadratic Functions
Quadratic Function
Parabola
Vertex
Standard ( Vertex) Form of a Quadratic…
...
...
...
the sign of "a" determines which way the parabola opens, vert…
Quadratic Function
...
Parabola
...
19 terms
Quadratic Functions
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 Functions
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.
Quadratic Functions
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…
19 terms
Quadratic Functions
Axis of Symmetry
Vertex
Maximum
Minimum
A line that divides a plane figure or a graph into two congru…
(h,k)
Highest point on the graph of a quadratic
Lowest point on the graph of a quadratic
Axis of Symmetry
A line that divides a plane figure or a graph into two congru…
Vertex
(h,k)
21 terms
Quadratic Functions
quadratic function
parabola
standard form of quadratic
vertex of parabola
...
...
...
...
quadratic function
...
parabola
...
21 terms
Quadratic functions
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
15 terms
Quadratic Functions
Quadratic Function Standard Form
The graph of a quadratic function is a…
The highest or lowest point of a porab…
The vertical line through the vertex
y= ax^2 + bx+ c
parabola
the vertex
axis of symmetry
Quadratic Function Standard Form
y= ax^2 + bx+ c
The graph of a quadratic function is a…
parabola
Quadratic functions
quadratic function
quadratic term
linear term
constant term
f(x)=ax^2+bx+c, where a is not equal to 0
ax^2
bx
c
quadratic function
f(x)=ax^2+bx+c, where a is not equal to 0
quadratic term
ax^2
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