Absolute Value Equations Transformations

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5
• Shifts right 5
• Shifts up 5
• Shifts down 5

Tags

CCSS.HSF.BF.B.3

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

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

What is the parent function for absolute values?

• y = x
• y = |x|
• y = x²
• y = 2^x

Tags

CCSS.HSF.IF.A.1

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

CCSS.HSF.IF.C.7

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3
• reflected over x axis, stretched by 2, left 3 up 3.
• reflected over x axis, shrunk by 2, right 3, up 3
• reflected over the x axis, shrunk by 2, left 3, up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of the absolute value function?

• f(x)= 4|x+3|
• f(x)= 1/4 |x+3|
• f(x)= 1/4 |x - 3|
• f(x)= 4|x - 3|

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the following function?

 $f\left(x\right)=2\left|x-3\right|+1$  

• (2,3)

• (-3,1)

• (2,-3)

• (3,1)

Tags

CCSS.HSF-IF.C.7D

Write the absolute value equation given the following transformations:
Reflection over the x-axis
Horizontal shift right 2 units
Vertical shift down 7 units

•  $y=-\left|x+2\right|-7$  
  

•  $y=\left|x-2\right|-7$  
  

•  $y=-\left|x-2\right|-7$  

•  $y=\left|x+2\right|-7$  
  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit
• Reflects over x-axis, compresses wider, shifts up 1 unit
• Reflects over x-axis, stretches more narrow, shifts right 1 unit
• Reflects over x-axis, stretches more narrow, shifts up 1 unit

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

  . 
The blue graphs is the parent function f(x)=|x|, the 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.B.4

CCSS.HSF.IF.C.7