Parent Functions and Transformation Rules
Graphing
Domain and Range
Vocabulary
Equation Details
100
What is the parent function and transformation:
f(x) = -|x|
x axis flip and absolute value
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 parent function for this equation?
f(x) = x2 +6x+5
f(x) = (x)2
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
What is the domain and range of the function
f(x) = (x - 4)2 + 3
Domain: Negative infinity to infinity
Range: 3 to positive infinity
300
Write the transformed version of this equation if:
flip over y axis, left 4, down 3
f(x) = x2
y=(-x2 +4)-3
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 function that has a domain of negative infinity to infinity.
Quadratic, absolute value, cubic, cubed root..
400
What is the equation for the following transformations
parent function: cubed root
x axis flip, right 2, up 5
I'll check!
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
Draw a graph that has:
Domain: -3 to positive infinity
Range: 2 to positive infinity
See graph (square root)
500
What is the parent function for the equation that gives a graph that looks like a v?
Absolute value