PRACTICE WORKSHEET ON ABSOLUTE VALUE FUNCTIONS

Problem 1 :

What is the vertex: y = 3|x - 1| + 2

a) (1, -2)    b) (1, 2)

Solution

Problem 2 :

What is the vertex: y = 2|x|

a) (2, 0)    b) (0, 0)

Solution

Problem 3 :

What is the vertex: y = |x| + 5

a) (5, 0)    b) (0, 5)

Solution

Problem 4 :

The graph of y = -2|x + 1| - 3 is

a) Vertically stretched   b) Vertical shrink

Solution

Problem 5 :

The graph of y = -3/5|x + 3| + 10 is

a) Vertically stretched   b) Vertical shrink

Solution

Problem 6 :

The graph of y = 15|x| is

a) Vertically stretched   b) Vertical shrink

Solution

Problem 7 :

The graph of y = 5/3|x + 2| - 1 is

a) Vertically stretched   b) Vertical shrink

Solution

Problem 8 :

The graph of y = 5/3|x + 2| - 1

a) Opens up   b) Opens down

Solution

Problem 9 :

The graph of y = -2|x + 1| - 3

a) Opens up   b) Opens down

Solution

Problem 10 :

The graph of: y = 3|x| - 2 is

a) Translated vertically   b) Translated horizontally

Solution

Problem 11 :

The graph of: y = 3|x| - 2 is 

a) Translated left 2   b) Translated down 2

Solution

Problem 12 :

In order for the graph to be a vertical shrink, what will be the value of a

a)  -1 < a < 1       b) a > 1

Solution

Problem 13:

Domain of: y = -2|x + 1| - 3

a)  (-∞, ∞)       b) -∞ < x < 1

Solution

Problem 14 :

Range of: y = 3|x| - 1

a)  (-∞, 3]     b) [-1, ∞)

Solution

Problem 15 :

Range of: y = -|x| - 2

a)  [-2,-∞)     b) [-2, ∞)

Solution

Problem 16 :

Range of: y = -|x - 5| + 4

a)  (-∞, 4]     b) [4, ∞)

Solution