Unit 1 Absolute Value Functions

Describe the transformation from the parent function:

 $f\left(x\right)=\left|x\right|\ to\ g\left(x\right)=\left|x\right|-3$  

• Vertical Translation Up 3

• Vertical Translation Down 3

• Horizontal Translation Right 3

• Vertical Translation Left 3

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

What is the equation of the graph below?

• f(x) = I x I -1
• f(x) = I x I +1
• f(x) = - I x I -1
• f(x) = -I x I +1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

• horizontal translation right 3, reflection over x axis, vertical stretch by 2,vertical translation up 3

• horizontal translation left 3, reflection over x axis, vertical stretch by 2, vertical translation up 3

• horizontal translation right 3, vertical compression by 2, reflection over x axis, vertical translation up 3

• horizontal translation left 3, vertical compression by 2, reflected over the x axis, vertical translation up 3

What is the domain of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the range of the absolute value function?

• (-infinity, infinity)
• [3, infinity)
• [0, infinity)
• (-infinity, 3]

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the equation for a graph that is vertically compressed by a factor of 2/5 and horizontally translated right 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

Describe the transformations in the CORRECT ORDER from the parent graph to f(x) = -3∣x + 5∣ - 7

• Horizontal Left 5, Vertical Stretch by 3, Reflection over x-axis and Vertical Translation Down 7

• Vertical Translation Up 7, Horizontal Right 5, Vertical Stretch by 3, Reflection over x-axis

• Horizontal Left 5, Vertical Compression by 3, Reflection over x-axis and Vertical Translation Down 7

• Horizontal Right 5, Vertical Translation Down 7, Vertical Compress by 3, Reflection over x-axis.

Write an absolute value function given the following transformations:

Horizontal translation right 2 units

Reflection across the x-axis

Vertical translation down 7 units

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7