Absolute Value Function Graphs

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

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Identify the equation of the graph.

• y = |x-3|-2
• y = -|x-3|-2
• y = |x+3|-2
• y = |x+3|+2

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

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

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y=4|x+3|-2

• Narrow
• Wide
• Same