Domain and Range
Transformations
Vertex and Slope
Parent Functions
Miscellaneous
100
y = |x|
Give the Range in Interval Notation
What is
Range = [0, ∞)
100
y = 3|x|
Describe the transformation
What is
Vertical stretch by 3
100
y = -4|x + 2|
Identify the slope
What is
Slope = -4
100
What is the equation for the absolute value parent function?
What is
y = |x|
100
Is the following a function?
(-3, 6), (-1, -1), (0, -1), (-1, 15), (3, 0)
What is
No
200
y = -|x + 5|
Give the Domain in Interval Notation
What is
Domain = (-∞, ∞)
200
y = 5 |x| - 4
Describe the transformation
What is
Vertical stretch by 5, down 4 units
200
y = 7/8 |x + 9| - 2
Identify the vertex
What is
Vertex = (-9, -2)
200
Draw the graph for
y = |x|
Pending
200
f(x) = 2x + 5
g(x) = 8 + x
Find f(g(x))
What is
f(g(x)) = 21 + 2x
300
y = |x-5|-1
Give the Range in Algebraic Notation
What is
Range = -1 ≤ y < ∞
300
y = |x - 8| + 3
Describe the transformation
What is
shift 8 units to the right, 3 units up
300
y = 2/5 |x - 3|
Identify the vertex
What is
Vertex = (3, 0)
300
y = a |x ± h| + k
What does 'a' represent?
What is
Slope, vertical stretch/compression, and reflections
300
In Harry Potter and the Prisoner of Azkaban, what creature does Sirius Black transform into?
What is
a dog
400
y = 2|x|-1
Give the Domain and Range in Set Notation
What is
Domain = {x | x
}
Range = {y | y ≥ -1, y}
400
y = -|x + 5|
Describe the transformation
What is
Reflection over the x-axis, shift 5 units to the left
400
y = 8/13 |x + 1| - 6
Identify the slope and the vertex
What is
Slope = 8/13
Vertex = (-1, -6)
400
y = a |x ± h| + k
What does 'h' represent?
What is
Horizontal shift of 'h' spaces
400
f(x) = 6x - 8
Find the inverse of the linear function
What is
f-1(x) = x/6 + 4/3
500
y = 2/3 |x - 8| + 3
Give the Domain and Range in Interval and Set Notation
What is
Domain = (-∞, ∞), {x | x}
Range = [3, ∞), {y | y ≥ 3, y}
500
y = 5/7 |x - 10| + 3
Describe the transformation
What is
Vertical compression by 5/7, horizontal shift of 10 units to the right and 3 units up
500
y = -5/2 |x - 9| + 7
Identify the slope and the vertex
What is
Slope = -5/2
Vertex = (9, 7)
500
y = a |x ± h| + k
what does 'k' represent?
What is
Vertical shift of 'k' spaces
500
Name the missing dwarf from the movie "Snow White and the Seven Dwarfs"
Doc, Happy, Sleepy, Grumpy, Sneezy, Dopey, and ________
What is
Bashful