Parent Functions and Transformation Rules
Graphing
Domain and Range
Vocabulary
Equation Details
100
What is the name for the function: f(x) = |x|
Absolute Value Function
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 name of the function: f(x) = x3
Cubic Function / Cube Function
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
What is the function for this equation in vertex form?
f(x) = x2 +6x+5
f(x) = (x+3)2 - 4
300
What is the name of the function: f(x) = x2
Quadratic Function
300
The Graph the parent function is for _______.
√x
300
What is the domain and range for the cubed function?
D: (-∞, ∞)
R: (-∞, ∞)
300
Draw a graph that is decreasing for (-4, 4) and increasing everywhere else!
Teacher will validate
300
What is the vertex for this equation?
f(x) = x2+5
(0, 5)
400
What is the transformation rule for
f(x) + k
shift up "k" units
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
Draw a graph that is increasing for (0, 5) only.
Teacher will Validate
400
What is the value of y= [x+2] for x=-3.05?
y=-2
500
What is the transformation rule for
f(x - h) ?
shift right "h" units
500
The parent function for this graph is named ______.
linear
500
What is the domain and range for a linear function?
D: (-∞, ∞)
R: (-∞, ∞)
500
If a graph is continuous what does that mean?
That there is no breaks or holes in the graph
500
What is the parent function for the equation that gives a graph that looks like a staircase?
greatest integer function