Translations of Functions

What change does a Translation Cause?

• a shift up, down, left, or right

• a reflection

• a compression

• a stretch

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

• Right 6
• Left 6
• Up 6
• Down 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

• Vertical Translation Up 13 units

• Vertical Translation Down 13 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Compare the function (red) to the parent function (black).

• Vertical Translation Up 9 units

• Vertical Translation Down 9 units

Tags

CCSS.HSF.BF.B.3

• Vertical Translation Up 1.5 units

• Vertical Translation Down 1.5 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.9

• Vertical Translation Up 100 units

• Vertical Translation Down 100 units

Tags

CCSS.HSF.BF.B.3

• g(x)=(x-5)²

• g(x)=(x+5)²

• g(x)=x²+5

• g(x)=x²-5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1