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Study sets matching "quadratic functions"

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Study sets matching "quadratic functions"

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…
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
18 terms
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.
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…
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…
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…
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.
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.
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
10 terms
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
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…
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.
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…
Quadratic Functions
Monomial
Binomial
Trinomial
Polynomial
...
...
...
...
Monomial
...
Binomial
...
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.
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…
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…
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…
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
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
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…
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?
8 terms
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…
15 terms
Quadratic Functions
Quadratic Formula
Solve x^2 + 2x - 8 = 0 using the quadr…
Solve x^2 - x - 20 = 0 by factoring.
Solve x^2 + 5 + 6 = 0 by factoring.
x = -4, 2
x = -4, 5
x = -3, -2
Quadratic Formula
Solve x^2 + 2x - 8 = 0 using the quadr…
x = -4, 2
9 terms
Quadratic functions
zero product property
complete the square method
quadratic formula
roots of quadratic equations
x*y=0... x=0 or y=0... (x-a)*(x-b) = 0... (x-a) = 0 or (x-b) = 0
1. factor out the coefficient of x^2... 2. take half the coeffic…
if the discriminant (b^2-4ac):... a) is bigger than 0 - two diff…
zero product property
x*y=0... x=0 or y=0... (x-a)*(x-b) = 0... (x-a) = 0 or (x-b) = 0
complete the square method
1. factor out the coefficient of x^2... 2. take half the coeffic…
6 terms
Quadratic Functions
Parabola
Vertex
Axis of symmetry
Symmetry
Graph of a quadratic function
Middle point of a parabola
Vertical line slicing a parabola into equal halves
Congruent on both sides
Parabola
Graph of a quadratic function
Vertex
Middle point of a parabola
8 terms
Algebra II - Quadratic Functions
Axis of Symmetry
Vertex
Parabola
If a parabola opens up, a ____________…
minimum
Axis of Symmetry
Vertex
20 terms
Quadratic Functions - Vocabulary
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…
8 terms
quadratic functions
vertex
parabola opens downward
parabola opens upward
axis of symmetry
(h,k)
a<0
a>0
x=h
vertex
(h,k)
parabola opens downward
a<0
10 terms
Quadratic Functions
parabola
vertex
axis of symmetry
minimum
A u-shaped curve formed by the graph of a quadratic function.
The point at which the graph of a quadratic function makes it…
A line that divides a parabola in half so that each half is t…
The lowest point of a parabola (when a>0)
parabola
A u-shaped curve formed by the graph of a quadratic function.
vertex
The point at which the graph of a quadratic function makes it…
14 terms
quadratic functions
standard form
vertex form
intercept form
i =
y= ax2 + bx + c... A of S: -b/2a... y intercept: (0,c)
y= a (x-h)2 + k ... vertex: (h,k)... A of S: x=h
y= a (x-p)(x-q)]... x intercepts: p and q (set equal to 0) ... A of…
root of -1
standard form
y= ax2 + bx + c... A of S: -b/2a... y intercept: (0,c)
vertex form
y= a (x-h)2 + k ... vertex: (h,k)... A of S: x=h
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
13 terms
Unit 4 Quadratic Functions
standard form of a quadratic equation
parabola
Vertex Form of a quadratic equation
Factored Form of a quadratic equation
A quadratic function in the form y=ax²+bx+c where a≠0.
A parabola is the graph of a quadratic function. It is shaped…
f(x) = y =a(x-c)²+d; vertex is (c,d)
f(x) = y = a(x - r1)(x - r2), where (r1, 0) and (r2, 0), are…
standard form of a quadratic equation
A quadratic function in the form y=ax²+bx+c where a≠0.
parabola
A parabola is the graph of a quadratic function. It is shaped…
17 terms
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.
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
6 terms
Quadratic Functions
The highest (or lowest) point of a par…
The x-coordinate of the vertex can be…
The y-intercept of a parabola is at
The x-intercepts (if they exist) occur…
vertex
-b/2a
f(0)
f(x) = 0
The highest (or lowest) point of a par…
vertex
The x-coordinate of the vertex can be…
-b/2a
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)
8 terms
Quadratic Functions
standard form
vertex form
roots or zeros
vertex
y = ax^2 + bx + c
y = a(x - h)^2 + k
points where a function crosses the x-axis, these are the val…
turning point of a parabola
standard form
y = ax^2 + bx + c
vertex form
y = a(x - h)^2 + k
Quadratic functions
quadratic parent function
Parabola
Vertex
Axis of symmetry
y=x2 or f(x)=x2
The u-shaped graph created by a quadratic function
The minimum (lowest) point or maximum (highest) point of a pa…
the line that divides the parabola into 2 matching halves, ru…
quadratic parent function
y=x2 or f(x)=x2
Parabola
The u-shaped graph created by a quadratic function
15 terms
Quadratic Functions
Parabola
Vertical Translation
Horizontal Translation
Axis of Symmetry
A curved graph where any point is at an equal distance from a…
A transformation that moves the graph of a function up or dow…
A transformation that moves the graph of a function to the ri…
The line that divides a parabola into two equal parts.
Parabola
A curved graph where any point is at an equal distance from a…
Vertical Translation
A transformation that moves the graph of a function up or dow…
8 terms
Quadratic & Functions 2
Y=
Domain=
Range=
X-intercept
x^2... example = (-2)^2
-∞ < x < ∞
0 ≤ x < ∞
X=0
Y=
x^2... example = (-2)^2
Domain=
-∞ < x < ∞
21 terms
Quadratic Functions
quadratic function
parabola
standard form of quadratic
vertex of parabola
...
...
...
...
quadratic function
...
parabola
...
35 terms
Quadratic Functions
Monomial
Binomial
Trinomial
Polynomial
an expression with one term
an expression with two terms
an expression with three tems
an expression with more than three terms
Monomial
an expression with one term
Binomial
an expression with two terms
20 terms
Quadratic Functions
quadratic function in expanded form
example parabola
quadratic parent graph y=x^2
zero(x), roots, solutions, x-intercepts
y=ax^2+bx+c
quadratic function in expanded form
y=ax^2+bx+c
example parabola
15 terms
Quadratic Functions
Y-Intercept
Max/Min
Vertex
Axis of Symmetry
Where the line crosses the y-axis
When the parabola is facing up(min) or facing down(max)
The plot in which the line is based on
The axis of the function
Y-Intercept
Where the line crosses the y-axis
Max/Min
When the parabola is facing up(min) or facing down(max)
18 terms
Quadratic Functions
Axis of symmetry
Standard form of a quadratic function
Parabola
Domain
Always write as a line equation, x=AOS
All the x-values included in the parabola. Always go LEFT to…
Axis of symmetry
Always write as a line equation, x=AOS
Standard form of a quadratic function
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