Translations of Functions

Describe the transformation of the graph  y = (x)²  + 6

• Right 6
• Left 6
• Up 6
• Down 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

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

What is the equation for the translation of f(x)=|x| that moves down 3 units and right 5 units?

• f(x) = |x - 3| + 5

• f(x) = -3|x| -5

• f(x) = |x-5| - 3

• f(x) = |x+5| + 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

What is the equation for the translation of f(x)=|x| that moves left 8 units and up 3 units?

• f(x) = |x - 8| + 3

• f(x) = -8|x+3|

• f(x) = |x-3| - 8

• f(x) = |x + 8| + 3

Tags

CCSS.HSF.BF.B.3

What is the equation for the translation of f(x)=|x| that moves right 4 units?

• f(x) = |x - 4|

• f(x) = 4|x|

• f(x) = |x| + 4

• f(x) = |x + 4|

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

What is the equation for the translation of f(x)=|x| that moves up 6 units?

• f(x) = |x + 6|

• f(x) = |x - 6|

• f(x) = |x| + 6

• f(x) = |x| - 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the equation for the translation of f(x)=|x| that moves left 10 units and down 1 unit?

• f(x) = |x + 10| - 1

• f(x) = |x - 10| - 1

• f(x) = |x-1| + 10

• f(x) = |x+1| - 10

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

What is the equation for the translation of f(x)=|x| that moves up 11 unit?

• f(x) = |x - 11|

• f(x) = |x | + 11

• f(x) = |x| - 11

• f(x) = |x + 11|

Tags

CCSS.HSF.BF.B.3