Function Families and Transformations Practice

What is the name of this parent function?

• Polynomial Function

• Absolute Value Function
• Rational Function

• Exponential Function 

What is the name of this parent function?

• Rational Function

• Polynomial Function

• Exponential Function
• Absolute Value Function 

What is the name of this parent function?

• Polynomial Function

• Rational Function

• Exponential Function
• Trig Function 

Tags

CCSS.HSF-IF.C.7D

• Horizontal shift left 7

• Horizontal shift right 7

• Vertical shift up 7

• Vertical shift down 7

• A vertical translation 4 units up

• A horizontal translation 4 units to the left

• A vertical translation 4 units down

• A horizontal translation 4 units to the right

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

Describe the transformation of the equation belown from its parent function f(x)=|x| :

y = | x +3 |

• Left 3

• Right 3

• Up 3

• Down 3

How did the function below transform from the parent function f(x)=x² ?

y = 2x² + 2

• Stretched by a factor of 2 horizontal shift left 2

• Stretched by a factor of 2

  vertical shift up 2

• Shrunk by a factor of 1/2

  horizontal shift down 2

• Shrunk by a factor of 1/2

  vertical shift down 2

Which way does the graph move if the equation looks like y = (x - 3)² ?

• Graph moves UP 3 units
• Graph moves to the RIGHT 3 units
• Graph moves DOWN 3 units
• Graph moves to the LEFT 3 units