Vertical and Horizontal Translations
Vertical stretch & compression
Max and Min on an Interval
Domain and Range
All Other Attributes
100
What is the equation of the absolute value function that is shifted 3 units up from the parent function?
f(x)=|x|+3
100
How does the graph
f(x)=0.5|x|
compare to the parent function?
The graph is vertically compressed by a factor of 0.5, making it wider.
100
What is the maximum value of the function
f(x)=-|x|
on the interval [−3,3]?
0
100
Find the domain of the function
f(x)=|x-3|
(-infty,infty)
100
What is the vertex?
f(x)=|x-3|
(3,0)
200
f(x)=|x-5|
represents a horizontal shift of the parent function. How many units and in which direction is the function shifted?
5 units to the right
200
How does the graph
f(x)=1/6|x|
compare to the parent function?
The graph is vertically compressed by a factor of 1/6, making it wider
200
What is the minimum value of the function
f(x)=|x+2|-3
on the interval [−5,0]?
-3
200
Find the domain of the function
f(x)=-|x-4|+3
Domain:
(-infty,infty)
200
Identify the coordinates of the vertex of the given equation.
g(x)=2|x+3|-1
(-3,-1)
300
What is the equation of the absolute value function that is shifted 4 units left and 2 units down from the parent function?
f(x)=∣x+4∣−2
300
Identify the transformations from the parent function to
g(x)=-3|x+4|-6
Reflected over the x-axis
Vertically stretched by a factor of 3
Translated left 4 units
Translated down 6 units
300
Find the minimum value of
f(x)=|2x-3|
on the interval [1,4].
0
300
What is the domain of the function
f(x)=|2x-5|
(-infty,infty)
300
Identify the axis of symmetry of the function
g(x)=-3|x-2|+5
x=2
400
Identify the values of a, h, and k for the given equation.
a=-2
h=6
k=-5
400
Write the absolute value equation that vertically stretched by a factor of 4, translates 6 to the left and translates 3 units up.
y=4|x+6|+3
400
Identify the maximum and minimum values of the equation below on the interval
[-6,-2]
y=2|x+5|+3
Max=9
Min=3
400
Find the range of the function
f(x)=|x-1|+3
y>=3
400
Find the intercepts of the function
f(x)=-|x-4|+3
x-intercepts: (1, 0) and (7, 0)
y-intercept: (0, -1)
500
In the graph below, the function g(x) was transformed from the parent function f(x).
Describe the transformations that occurred.
f(x) was reflected across the x-axis,
shifted right 3 units and
up 4 units to create g(x).
500
Describe the three transformations that occurred on the parent function to the transformed function
g(x)=1/3|x+2|-7
Vertical Compression by a factor of 1/3
Shifting Left by 2
Shifting down by 7
500
Identify the maximum and minimum values of the equation below on the interval
[-3,1]
y=-1/2|x-3|+5
Max=4
Min=2
500
Find the range of the function
f(x)=-|x-4|+3
y<=3
500
What are the x-intercepts and the vertex?
f(x)=-|x|+2
- x-intercepts: (−2,0) and (2,0)
- Vertex: (0,2)