Transforming Absolute Value Functions

Which of the following is the absolute value parent function's equation?

•  $f\left(x\right)=x$  

•  $f\left(x\right)=x^3$  

•  $f\left(x\right)=\left|x\right|$  

•  $f\left(x\right)=\sqrt{x}$  

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

Describe the following transformations on the parent function ƒ(x)= |x|:

ƒ(x)= |x+1|+3

• Shift right 1 unit and down 3 units

• Shift left 1 unit and up 3 units

• Shift left 3 units and up 1 unit.

• Shift right 1 unit and up 3 units

Describe the following transformation(s) on the parent function ƒ(x)= |x|:

ƒ(x)= |x|+1

• Shift up 1 unit

• Shift left 1 unit

• Shift right 1 unit

• Shift down 1 unit

Write the transformed function that shifts the parent function ƒ(x)= |x|left 2 units

• ƒ(x)= |x|+2

• ƒ(x)= |x|-2

• ƒ(x)= |x-2|

• ƒ(x)= |x+2|

Write the transformed function that shifts the parent function ƒ(x) = |x| left 1 unit.

• ƒ(x)= |x|-1

• ƒ(x)= |x+1|

• ƒ(x)= |x|+1

• ƒ(x)= |x-1|

Write the transformed function that shifts the parent function ƒ(x)= |x| up 2 units.

• ƒ(x)= |x+2|

• ƒ(x)= |x|-2

• ƒ(x)= |x|+2

• ƒ(x)= |x-2|

Determine the transformation

• Left 5, up 1
• Left 5, down 1
• Right 5, up 1
• Right 5, down 1

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

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.HSF-IF.C.7D