Graphs of Absolute Values

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Identify the equation of the graph.

• y = |x - 1| - 1
• y = |x + 1| - 1
• y = |x - 1| +1
• y = |x + 1| + 1

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red

f(x) = −|x+4|

• A
• B
• C
• D

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, commpress by 2, right 3, up 3
• reflected over the x axis, commpress by 2, left 3, up 3