Translations of Functions

What change does a Translation Cause?

• a shift up, down, left, or right

• a reflection

• a compression

• a stretch

Which equation below is a quadratic function translated up 5 units?

• y = x² + 5
• y = (x + 5)²
• y = 5x²
• y = -x² - 5

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4
• y = (x + 4)²
• y = (x - 4)²
• y = 4x²

Describe the transformation of the graph  y = (x)³  + 6

• Right 6
• Left 6
• Up 6
• Down 6

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Describe the transformations of the graph y = (x - 3)³ -2

• Right 3, Down 2
• Left 3, Up 2
• Right 3, Up 2
• Left 3, Down 2 

Describe the transformations.

• Translate Right 2, Down 4
• Translate Left 2, Down 4
• Translate Left 2, Up 4
• Translate Right 2, Up 4

Select all the equations that show a vertical shift from its parent function.

•  $y=\left|x+1\right|$  

•  $y=x^3+4$  

•  $y=x-10$  

•  $y=\left(x-3\right)^2$  

•  $y=x^2-1$  

Select all equations that show a horizontal shift from its parent function.

•  $y=\left|x-4\right|$  

•  $y=\left(x-9\right)^3$  

•  $y=x^2+8$  

•  $y=\left|x\right|-5$  

•  $y=\sqrt{x}+1$  

Describe the transformation: g(x) = f(x)+2

• The graph moved down 2

• The graph moved up 2

• The graph moved to the right 2

• The graph moved to the left 2