Graphing Absolute
Value Functions
Value Functions
Identify the vertex and slope of the following function .
y= |x-3|+4
Vertex : (3,4). Slope: 1
Solve the absolute value equation ALGEBRAICALLY
-5|x-10|-15=0
No Solution
Identify all the transformations for the absolute value function.
y = |x| - 4
Translates down 4 units
John is looking for a job after graduation. The salary which he is satisfied with must be $2500 with a +/- $375. Write an inequality that can be used to assess if his salary is tolerable.
|x-2500|=375
Identify the vertex and slope of the following function.
y=-|x-4|+1
Vertex: (4,1). Slope: -1
Solve the absolute value equation
|x+1|-4=1
x=-6 and x=4
Identify all the transformations for the absolute value function.
y = |x + 2| + 10
1. Translates left 2 units
2. Translates up 10 units
The peach tree in my neighbor's yard yields 30 to 60 bushels of peaches during the annual harvest period. Write and absolute value function representing the maximum and minimum yields.
|x-45|=15
Identify the vertex and slope of the following functiont.
y=2|x+5|-3
Vertex: (-5,-3). Slope: 2
Solve the absolute value equation
-3|x+3|+3=-3
x = -5 and x = -1
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
The street built in the city must be 27 feet in width with a +/- of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Write an inequality to assess which streets are within tolerance.
|x-27|=.5
Identify the vertex and slope of the following function.
y= 3|x+2|-5
Vertex: (-2,-5) Slope: 3
Solve the absolute value equation ALGEBRAICALLY
2|x-12|+5 = 15
x = 17 and x = 7
Identify all the transformations for the absolute value function.
y = 3 | x + 3| - 2
1. Vertical stretch by a factor of 3
2. Translates left 3 units
3. Translates down 2 units
A snack company sells 5.5 oz cans of potato chips. The company has a .15 oz of tolerance for the weight of the product they ship out to stores. Write and absolute value equation representing this.
| x - 5.5|=.15
Identify the vertex and slope of the following function.
y=-2|x-2|+4
Vertex: (2,4). Slope: -2
Solve the absolute value equation ALGEBRAICALLY
4-5|10-5x|=-51
x=-1/5 and x= 21/5
Identify all the transformations for the absolute value function.
y= -5|x+6|-11
1. Reflects over x-axis
2. Vertical Stretch by a factor of 5
3. Translates left 6 units
4. Translates down 11 units
The sitting eye height for Naval fighter pilots are 26 to 31.4 inches. Write an absolute value equation representing the minimum and maximum heights.
| x - 28.7|=2.7