Transformations of Functions Review

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

CCSS.HSG.CO.A.2

  The blue function is the original function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1
• g(x)=x³-1
• g(x)=(x-1)³
• g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

• shifted up five units

  reflection in x-axis

• shifted down five units

  reflection in x-axis

• shifted left 5 units

  reflection x-axis

• shifted right 5 units

  reflection x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

The original function has equation f(x).  State the transformations given the new function f(x) = ⅔(x - 7)² 

• Vertical Shrink of ⅔
  Right 7
• Horizontal Shrink of ⅔
  Left 7
• Left  ⅔
  Vertical stretch of 7
• Right ⅔
  Horizontal stretch of 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

• Reflect over y-axis
  Left 3
• Reflect over y-axis
  Right 3
• Reflect over x-axis
  Left 3
• Reflect over x-axis
  Right 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Tags

CCSS.HSF-IF.C.7A

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3
• x³ - 3
• (x + 3)³
• (x - 3)³

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7
• x³-7
• (x-7)³
• (x+7)³

Tags

CCSS.HSF.BF.B.3

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3