Unit 8: Functions II

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

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformation that occurred 
p(x) = f(x + 3)

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

Tags

CCSS.HSF.BF.B.3

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

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

Tags

CCSS.HSF.BF.B.3

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

• Down 7
• Up 7
• Right 7
• Left 7

Tags

CCSS.HSF.BF.B.3

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

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

Tags

CCSS.HSF.BF.B.3

  . 
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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2