set of all first coordinates, they are independent variables sometimes referred to as 'input'

set of all 2nd coordinates, they are dependent variables sometimes referred to as 'output'

a special type of relation where each element of the domain is paired with exactly one element of the range "the 2nd coordinate CAN be repeated and the 1st CANNOT"

used to write equations that represent functions where f(x) takes the place of y

where the graph crosses the y-axis; (0,c) of a quadratic function

the shape of the quadratic function graph – opens up when the leading coefficient ‘a’ is positive and opens down with the leading coefficient ‘a’ is negative

an imaginary line through the middle of the parabola where each side match (usually shown on the graph as dashed)

Equation for Axis of Symmetry

a vertical line with the equation x= -b/2a

the point on the parabola where the axis of symmetry intersects the graph of the quadratic equation

the y-coordinate of the vertex on the parabola when a<0

the y-coordinate of the vertex on the parabola when a>0

the solutions of a quadratic equation

a method for finding the roots for which f(x) = 0

coordinate where y is 0 "place on graph where the graph CROSSES (intersects) the x-axis!

Zero product property

At least one of the factors must equal zero for the function to equal zero

a formula used to solve quadratic equations

part of the quadratic formula that describes the type of roots for the quadratic function

One Real Root of a quadratic (double root)

Discriminant > 0 and a Perfect Square

Two real rational roots of a quadratic

Discriminant > 0 and NOT a Perfect Square

Two real irrational roots of a quadratic

Any number that can be written as a fraction where the denominator is NOT 0

Any number that can NOT be written as a fraction (non repeating decimal, like pi or square root of 2)

Vertex Form of Quadratic Equation

y = a(x – h)^2 + k where (h,k) is the vertex

a movement of right/left of ‘h’ spaces

a movement up/down of ‘k’ spaces

Help

Options

Term

Domain

click to flip

focusNode

Didn't know it?
click below

Knew it?
click below

Don't know

Term

Range

Remaining cards (27)

Know

retry

shuffle

restart

0:00

Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

U4 Quadratics

Quadratic Unit Vocab

Term	Definition
Domain	set of all first coordinates, they are independent variables sometimes referred to as 'input'
Range	set of all 2nd coordinates, they are dependent variables sometimes referred to as 'output'
Function	a special type of relation where each element of the domain is paired with exactly one element of the range "the 2nd coordinate CAN be repeated and the 1st CANNOT"
Function Notation	used to write equations that represent functions where f(x) takes the place of y
y-intercept	where the graph crosses the y-axis; (0,c) of a quadratic function
Parabola	the shape of the quadratic function graph – opens up when the leading coefficient ‘a’ is positive and opens down with the leading coefficient ‘a’ is negative
Axis of Symmetry	an imaginary line through the middle of the parabola where each side match (usually shown on the graph as dashed)
Equation for Axis of Symmetry	a vertical line with the equation x= -b/2a
Vertex	the point on the parabola where the axis of symmetry intersects the graph of the quadratic equation
the x-coordinate of the vertex	h= -b/2a
the y-coordinate of the vertex	k = f(-b/2a)
Maximum Value	the y-coordinate of the vertex on the parabola when a<0
Minimum Value	the y-coordinate of the vertex on the parabola when a>0
Root	the solutions of a quadratic equation
Zero	a method for finding the roots for which f(x) = 0
x-intercepts	coordinate where y is 0 "place on graph where the graph CROSSES (intersects) the x-axis!
Zero product property	At least one of the factors must equal zero for the function to equal zero
Quadratic formula	a formula used to solve quadratic equations
Discriminant	part of the quadratic formula that describes the type of roots for the quadratic function
Discriminant = 0	One Real Root of a quadratic (double root)
Discriminant < 0	No real roots of a quadratic
Discriminant > 0 and a Perfect Square	Two real rational roots of a quadratic
Discriminant > 0 and NOT a Perfect Square	Two real irrational roots of a quadratic
Rational Number	Any number that can be written as a fraction where the denominator is NOT 0
Irrational Number	Any number that can NOT be written as a fraction (non repeating decimal, like pi or square root of 2)
Vertex Form of Quadratic Equation	y = a(x – h)^2 + k where (h,k) is the vertex
Horizontal Shift	a movement of right/left of ‘h’ spaces
Vertical Shift	a movement up/down of ‘k’ spaces

Created by: martha.kelley

"Know" box contains:
Time elapsed:
Retries: