Parts of Absolute Value Functions

Choose the equation that best matches the graphed function.

• Shifted left 10

• Shifted right 10

• Shifted up 10

• Shifted down 10

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Name the parent function. 

• constant

• square root

• linear

• absolute value

What is the equation of the graph below?

• f(x) = I x I -1

• f(x) = I x I +1

• f(x) = - I x I -1

• f(x) = -I x I +1

• x = 7 or x = -7
• x = 7 or x = -13
• x = 7 or x = 13
• x = 7

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2

• f(x ) = -I x - 4 I + 2

• f(x ) = I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

What is the range of the absolute value function?

• (-infinity, infinity)

• [3, infinity)

• [0, infinity)

• (-infinity, 3]

• x = -1 or x = 5
• x = 1 or x = -1
• x = -5 or x = 1
• No Solutions

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7