Transformations of Absolute Value

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

• Left 2, up 5

• Right 2, up 5

• Left 2, down 5

• Right 2, down 5

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

What are the transformations from the parent function y = |x|?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

Which of the following describes the transformation(s) of the following function:

f(x) = |x + 4| - 9

• Left 4, up 9

• Left 4, Down 9

• Right 4, up 9

• Right 4, Down 9

Describe the transformation from the Absolute Value Parent Function.

• vertically stretched by $\ \frac{1}{5},$ up 4
  

• vertically stretched by $\ \frac{1}{5},\$ down 4
  

• vertically compressed by $\ \frac{1}{5},\$ up 4
  

• vertically compressed by $\ \frac{1}{5},\$ down 4

Describe the transformations of the absolute value equation.

• reflected over the x-axis, vertically compressed by 3, right 1

• reflects over the y-axis, vertically compressed by 3, up 1

• reflects over the x-axis, vertically stretched by 3, right 1

• reflects over the x-axis, vertically stretched by 3, up 1

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

• $y=6\left|x\right|-\frac{2}{5}$

• $y=\frac{2}{5}\left|x\right|+6$

• $y=\frac{2}{5}\left|x+6\right|$

• $y=\frac{2}{5}\left|x-6\right|$

What is the parent function for absolute value?

• y = x

• y = |x|

• y = x²

• y = 2^x