Transformations of Absolute Values

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 equation of the graph below?

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

Tags

CCSS.HSF-IF.C.7D

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

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, vertical stretched by 2, right 3, up 3

• reflected over x axis, vertical stretched by 2, left 3 up 3.

• reflected over x axis, vertical compression by 2, right 3, up 3

• reflected over the x axis, vertical compression by 2, left 3, up 3

Describe the transformations from the parent graph to f(x) = -3∣x + 5∣ - 7

• reflection over x-axis, vertical stretch by 3, left 5, down 7

• reflection over y-axis, vertical stretch by 3, right 5, up 7

• reflection over x-axis, vertical compression by 3, left 5, down 7

• reflection over y-axis, vertical compression by 3, right 5, up 7

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

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

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

• Left 4
• Right 4
• Up 4
• Down 4

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

• Left 3
• Right 3
• Up 3
• Down 3

What is the vertex of the following equation:

-1/3|x - 5| + 7

• (5, 7)

• (-5, 7)

• (7, -5)

• (7, 5)

Tags

CCSS.HSF-IF.C.7D