Transformations of Absolute Value Equations

What is the vertex of the following function?

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

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

What is the equation of this graph?

• y=2|x-3|+1

• y=2|x-1|+3

• y=-2|x-3|+1

• y=-2|x-1|+3

Tags

CCSS.HSF-IF.C.7D

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 range of the equations -1/3|x -5| + 6

• [6, infinity)

• (-infinity, 6]

• (-infinity, infinity)

• [5, infinity)

Tags

CCSS.HSF-IF.C.7D

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

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 are the transformations present in the given Absolute Value equation?

• horizontal translation left 5, vertical translation down 10

• horizontal translation right 5, vertical translation up 10

• vertical translation up 5, horizontal translation left 10

• vertical translation down 5, horizontal translation right 10

What is the equation of the graphed Absolute Value transformation?