Precalculus Transformations

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

  . 
The blue is f(x)=|x|, red must be

• g(x)=|x+2|
• g(x)=|x|+2
• g(x)=|x-2|
• g(x)=|x|-2

What are the following transformations?
g(x) = - f(x+2)

• reflection over the y axis and 2 units to the right
• reflection over the x axis and 2 units right
• reflection over the y axis and 2 units left
• reflection over the x axis and 2 units left

What are the following transformations:
g(x) = f(-x) - 4

• reflection over the x axis and 4 units right
• reflection over the x axis and 4 units down
• reflection over the y axis and 4 units right
• reflection over the y axis and 4 units down

Which of the following transformations are present?
-2f(x - 1) + 2

• reflection over the y axis
• reflection over the x axis
• shift left 1
• shift down 1

If (3, -1) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = 2f(x-1)+4.

• (8, 3)
• (2,, 6)
• (7, 3)
• (4, 2)

If (-2, 5) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = 2f(3x)

• (-2/3 , 10)
• (-6, 10)
• (-2/3 , 5/2)
• (-4 , 15)