Transformation Rules
Graphing
Domain and Range
Vocabulary
Equation Details
100
What is the transformation rule for
f(x) + k
shift up "k" units
100
This Graph is the parent function for ___________.
x2
100
What is the domain and range for the quadratic function?
D: (-∞, ∞)
R: [0, ∞)
100
What is Domain and how is it read?
x-values; Left to Right
100
What is the parent function for this equation?
f(x) = 2|x|+3
absolute value function
200
What is the transformation rule for
f(x - h) ?
shift right "h" units
200
This Graph is the parent function for ___________
|x|
200
What is the domain and range for the absolute value function?
D: (-∞, ∞)
R: [0, ∞)
200
What is Range and how is it read?
y-values; Bottom to Top
200
y=-2x2-9 opens in the direction.
What is opens downward?
300
What is the transformation for the function: f(x) = 2|x|
Vertical Stretch by 2
300
The Graph the parent function is for _______.
√x
300
What is the domain and range for the cubed function?
D: (-∞, ∞)
R: (-∞, ∞)
300
What is a transformation?
An addition to the parent function that changes it is in some way
300
What is the vertex for this equation?
f(x) = x2+5
(0, 5)
400
What is the transformation of the graph f(x) = -x3 + 8
Reflection over x-axis, shift up 8
400
The Graph is the parent function for _______.
x3
400
What is the domain and range for the square root function?
D: [0, ∞)
R: [0, ∞)
400
What are the two types of Exponential Functions?
Growth and Decay
400
Vertex and axis of symmetry of y=2(x-3)2+5.
What is v(3, 5) and x=3.
500
What is the transformation of the graph f(x) = 1/2 (x+4) - 5
Vertical Compression by 1/2 ; Horizontal Shift by -4 ; Vertical Shift by 5
500
The parent function for this graph is named ______.
Exponential
500
What is the domain and range for a linear function?
D: (-∞, ∞)
R: (-∞, ∞)
500
123321 or Hannah is called.
What is a palendrome?
500
What determines whether an Exponential Function is growth or decay?
The Base Example: 2x