Transformation of Functions Review

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²

Tags

CCSS.HSF.BF.B.3

What are the transformations?
y=3(x-4)²?

• horz shift right 4, vert stretch by a factor of 3
• horz shift left 4, vert stretch by a factor of 3
• horz shift right 4, vert stretch by a factor of 1/3
• horz shift right 4, vert shift up 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)² 

• Shrink of ⅔
  Right 7
• Shrink of ⅔
  Left 7
• Stretch of ⅔
  Right 7
• Stretch of ⅔
  Left 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformation of y = f(x) for the new function
f(x) = 5x² + 2

• Stretch of 5
  Up 2
• Shrink of 5
  Up 2
• Stretch of 5
  Down 2
• Shrink of 5
  Down 2

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph below?

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

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSF.IF.A.1

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of the graph below? You can click the picture to zoom in!

• y = - | x + 2| + 4
• y = - | x - 2| + 4
• y = | x - 2 | + 4
• y = | x - 2| - 4

Tags

CCSS.HSF-IF.C.7D

If the blue function is f(x)=x², then the red function must be

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11