Transforming Graphs

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 that occurred 
p(x) = f(x + 3)

• Right 3 units
• up 3
• Steeper
• Left three units

Describe the transformation that occurred. 
h(x) = f(x) + 2

• up 2 units
• left 2 units
• steeper
• Less Steep

Describe the transformation:

• f(x +3)
• f(x-3)
• f(x) - 3
• f(x) + 3 

Describe the transformation that occurred.
w(x) = f(x - 7)

• Down 7
• Up 7
• Right 7
• Left 7

Describe the transformation that occurred 
m(x) = f(x + 1)

• Left 1 Unit
•  Right 1 unit
• Steeper
• Up 1 unit

What transformation occured?

• f(x+4)
• f(x) + 4
• f(x-4)
• f(x) -4

Describe the transformation that occurred
k(x) = f(x) - 9 

• Less Steep
• Down 9 units
• Left 9 units
• Right 9 Units

Describe the transformation that occurred 
g(x) =2f(x)

• Up 2 units
• Less Steep
• Steeper
• Right 2 Units