Translating Absolute Value Functions

State the RANGE of the absolute value function given the following transformations:

• 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:
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 the absolute value equation, given the following transformations:
Compressed by 1/2, Reflection across the x-axis,Vertical shift right 2 units, Horizontal shift down 7 units

f(x) = (a)   ​|x (b)   ​| (c)  

• -1/2

• -2

• -7

• 1/2

• +2

• +7