Graphing Absolute
Value Functions 1
Value Functions 1
Identify the vertex of the following function
y= |x-3|+4
Vertex : (3,4)
What is the domain and range of the following function?
y= |x-3|+4
Domain: All real numbers
Range: y >= 4
Identify all the transformations for the absolute value function.
y = |x| - 4
Translates down 4 units
Identify the transformations of the following function:
y=|x+2|
Left 2 units
Identify the vertex of the following function and graph it.
y=-|x-4|+1
Vertex: (4,1)
Find the domain and range of the following function:
y=-|x-4|+1
Domain: All Real Numbers
Range: y <= 1
Identify all the transformations for the absolute value function.
y = |x + 2| + 10
1. Translates left 2 units
2. Translates up 10 units
Identify the transformations of the following function:
y=-|x-3|
Reflect over x-axis
Right 3 units
Identify the vertex of the following function and graph it.
y=2|x+5|-3
Vertex: (-5,-3)
What is the domain, range and vertex of the following function and graph it
y = 4|x+4|+4
Domain: All real numbers
Range: y >= 4
Vertex: (-4, 4)
Identify all the transformations for the absolute value function.
y= - 1/2| x - 5| + 8
1. Reflects over x-axis
2. Vertical Compression by a factor of 1/2
3. Translates right 5 units
4. Translates up 8 units
Identify the transformations of the following function:
f(x) = |x-2|+1
Right 2 units
Up 1 unit
Identify the vertex and graph the function
y= 3|x+2|-5
Vertex: (-2,-5)
What is the vertex, axis of symmetry, domain, and range of the following function:
y = -1/2(x+3)-7
Vertex: (-3, -7)
Axis of Symmetry: x = -3
Domain: All real numbers
Range: y <= -7
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
Identify the transformations of the following function:
f(x) =
1/2|x-2|+5
Compression by a factor of 1/2
Right 2 units
Up 5 units
Identify the vertex of the following function and graph it.
y=-2|x-2|+4
Vertex: (2,4)
Find the vertex, axis of symmetry, domain and range of the following function and graph it
y = 1/3|x-1|-5
Vertex: (1, -5)
Axis of symmetry: x = 1
Domain: All real numbers
Range: y >= -5
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
Identify the transformations of the following function:
f(x)=-3|x-4|+9
Reflects over x-axis
Stretch by a factor of 3
Right 4 units
Up 9 units