Transformations of Absolute Value Functions

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

Tags

CCSS.HSF-IF.C.7D

What is the domain of the graph above?

• (-∞,∞)
• (-∞,2]
• [4,∞)
• [2,∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the graph above?

• (-∞,∞)
• (-∞,2]
• [4,∞)
• [2,∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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 

Tags

CCSS.HSF-IF.C.7D

What is the domain of the graph above?

• (-∞,∞)
• (-∞,0]
• [0,∞)
• [2,∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the graph above?

• (-∞,∞)
• (-∞,0]
• [0,∞)
• [2,∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 2 I + 4

• Left 2 up 4
• Right 2 up 4
• Left 2 down 4
• Right 2 down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSG.CO.A.2

What is the transformation for:
y=-3|x+1|-3 ?

• Reflects, vertically stretched by 3, left 1, and down 3
• Reflects, vertically compressed by 3, right 1, and down 3
• Down 6 and right 1
• More narrow, right 1, and down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9
• f(x) = |2x - 1| - 9
• f(x) = 2|x + 1| - 9 
• f(x) = 2|x - 1| - 9

Tags

CCSS.HSF.BF.B.3