Graphing Absolute Value
Functions 1
Functions 1
Graphing Absolute Value
Functions 2
Functions 2
Transformations 1
Transformations 2
Old Content
100
Identify the vertex of the following function
y= |x-3|+4
Vertex : (3,4)
100
Graph the vertex of the following function:
y= |x - 3|+ 4
Vertex (3, 4)
100
Identify all the transformations for the absolute value function.
y = |x| - 4
Translates down 4 units
100
Identify the transformations of the following function:
y=|x+2|
Left 2 units
100
Find the inverse of y= 5x - 8
= y
200
Identify the vertex of the following function and graph it.
y=-|x-4|+1
Vertex: (4,1)
200
Graph the vertex of the following function:
y = |4x+4|+ 4
Vertex: (-1, 4)
200
Identify all the transformations for the absolute value function.
y = |x + 2| + 10
1. Translates left 2 units
2. Translates up 10 units
200
Identify the transformations of the following function:
y=-|x-3|
Reflect over x-axis
Right 3 units
200
Eleanor and Mike are playing a matching game in class. They both have a binomial on notecards. If Eleanor's binomial is -3x + 4 and Mike's binomial is -5x -5, what is the difference of the two binomials?
2x + 9
300
Identify the vertex of the following function and graph it.
y=2|x+5|-3
Vertex: (-5,-3)
300
Graph the vertex of the following function:
y=-|2x-1|+ 1
Vertex (1/2, 1)
300
Identify all the transformations for the absolute value function.
y= - 1/2| x - 5| + 8
1. Reflects over x-axis
2. Vertical shrink by a factor of 1/2
3. Translates right 5 units
4. Translates up 8 units
300
Identify the transformations of the following function:
f(x) = |x-2|+1
Right 2 units
Up 1 unit
300
Find (g(f(x)) if f(x)= -5x +3 and g(x) = 
400
Identify the vertex and graph the function
y= 3|x+2|-5
Vertex: (-2,-5)
400
What is the vertex and axis of symmetry of the following function:
y = -1/2(x+3)-7
Vertex: (-3, -7)
Axis of Symmetry: x = -3
400
Identify all the transformations for the absolute value function.
y = -3 |x + 3| - 2
1. Vertical stretch by a factor of 3
2. Reflects over x-axis
3. Translates left 3 units
4. Translates down 2 units
400
Identify the transformations of the following function:
f(x) =
1/2|x-2|+5
Vertical shrink by a factor of 1/2
Right 2 units
Up 5 units
400
Find the inverse of y=
x2 = y
500
Identify the vertex of the following function and graph it.
y=-2|x-2|+4
Vertex: (2,4)
500
Find the vertex and axis of symmetry of the following function:
y = 1/3|x-1|-5
Vertex: (1, -5)
Axis of symmetry: x = 1
500
Identify all the transformations for the absolute value function and graph it
y= -5|x+6|-11
1. Reflects over x-axis
2. Vertical stretch by a factor of 5
4. Translates left 6 units
5. Translates down 11 units
500
Identify the transformations of the following function:
f(x)=-3|x-4|+9
Reflects over x-axis
Vertical stretch by a factor of 3
Right 4 units
Up 9 units
500
Solve 2|4x - 1| + 5 = 15
x= 
x= -1