Translations from equations

How would you describe the translation from f(x)=x²  to  f(x)=(x-3)² ?

• Horizontal translation: three units to the left
• Horizontal translation: three units to the right
• Vertical translation: three units up
• Vertical translation: three units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Shift f(x)=x² three units to the left and 4 units down

• f(x)=(x+3)²-4
• f(x)=(x-3)²-4
• f(x)=(x+4)²-3
• f(x)=(x-4)²-3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Describe the transformations that maps

y = |x| to y = |x + 6| - 10

• Shifted down 0 units

  Shifted left 6 units

• Shifted up 10 units

  Shifted left 6 units

• Shifted up 10 units

  Shifted right 6 units

• Shifted down 10 units

  Shifted left 6 units

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Tags

CCSS.HSF.BF.B.3

How would you describe the translation from f(x)=x² to f(x)=x²+7 ?

• Vertical translation: up 7 units

• Vertical translation: down 7 units

• Horiztonal translation: left 7 units

• Horizontal translation: right 7 units

Challenge Question: How would you describe the translation from f(x)=(x-2)² to f(x)=(x+3)² ? How much did it move?

• Horizontal translation: to the right 3 units

• Horizontal translation: to the left 2 units

• Horizontal translation: to the left 5 units

• Horizontal translation: to the right 5 units

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

Choose the correct translated function.

• f(x)=|x|-2
• f(x)=|x|+5
• f(x)=|x-5|-2
• f(x)=|x+5|-2

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.A.1

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Tags

CCSS.HSF.BF.B.3